what is this simplified?

What Is This Simplified?

Answers

Answer 1

Answer:

35/48

Step-by-step explanation:

35/48

Answer 2

Answer:

35/48

Step-by-step explanation:

It is already in it's simplest form.


Related Questions

Find the value of x and y.

Answers

Pretty sure y= 55 x= 90

25. ALGEBRA Angle E and Angle F are supplementary. The measure of angle E is 54 more than the
measure of Angle F. Find the measures of each angle.

Answers

The measure of each angle is , ∠E = 117° and ∠F = 63°

What is an angle ?

In the geometry, angle is defined as the geometry formed by the multiple rays. Or we can also say that the angle is a figure formed by two rays with having same initial point. The rays are also known as the sides of the angle. A angle can have two rays.

What are supplementary angles?

Angles which are on the same line are supplementary angles. The sum of supplementary angles are always equals to 180 degree.

Some common terms related to angles :

Endpoint  : It is the point where the rays met to each other.Ray : Ray is the side or line segment on which angle is formed.Curve : It is a line but not straight i.e. a bended line.Tangent : A line which touches the surface of curve.

In the given question:

Let measure of ∠E = x

and, measure of ∠F = y

as ∠E and ∠F are supplementary angles therefore their sum is 180

i.e. m∠E + m∠F = 180

=> x + y =180

also, m∠E is 54 more than m∠F

=> y+54 + y = 180

=> 2y + 54 = 180

=> y = 180-54 / 2 = 63

and , x = y + 54 = 63 + 54 = 117

Hence, ∠E = 117 degree and ∠F = 63 degree

To know more about Ray and the Angles, visit:

brainly.com/question/13822181

#SPJ9

HELPPPPPPPPPPPPPPPPPPPPPPPPP! whats 1+1

Answers

It would have to be 2. When adding 1 with another 1 you can change the number to 2

Write 2.5 as a mixed number and as an improper fraction. Write your answers in simplest form.

Answers

Answer:5/2 and 2 1/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

2.5 as a mixed number is 2 1/2 since 1/2 = 0.5

2.5 as an improper fraction is 5/2

Area of Circles Area of Circles Area of Circles

Answers

The area of the circle with the radius is 192 square feet

How to calculate the area of the circle?

The figure represents the given parameter

On the figure, we have the radius (r) to be

r = 8 ft

The area of a circle is calculated as

A = πr^2

Where π is given as

π = 3

So, we have

A = 3 * 8^2

Evaluate the exponent

A = 3 * 64

Evaluate the product

A = 192

Hence, the area of the circle with the radius is 192 square feet

Read more about areas at

https://brainly.com/question/22972014

#SPJ1

the area of the circle is 201.06

suppose that 10% of people are left handed. if you pick two people at random, what is the probability that they are both left handed? express your answer as a decimal rounded to three decimal places.

Answers

The probability that they are both left-handed is 0.01

Probability is the number of ways of achieving success.

the total number of possible outcomes.

Probability takes values between 0 (no chance) and 1 (certain) inclusive.

Complement Rule (probability that an event doesn't occur): P(A') = 1 - P(A) .

Addition rule: P(A ∪ B) = P(A) + P(B) – P(A ∩ B) .

Multiplication rule: P(A ∩ B) = P(A) × P(B) for independent events. P(A ∩ B)

For both, the persons selected at random are left-handed

10 % out of 100 % are left-handed.

Hence the probability that the person is left-handed

P(L) = 10 /100 = 1 / 10 = 0.1

where P(L) is the probability that the person is left-handed.

Therefore both the persons selected are left-handed

= 0.1 * 0.1

= (0.1)^2

= 0.01

Hence the probability that they are both left-handed is 0.01.

For more information on probability click on the link below:

https://brainly.com/question/24756209

#SPJ4

Gary, the school chef, needs to make 40
tacos for every 15 students. How many tacos
would Gary need to prepare for 3 students?

Answers

The number of tacos that is needed for 3 students is 8 tacos.

How many tacos would be needed for 3 students?

The first step is to determine the number of tacos that is needed for one student. To determine this value, divide the total number of tacos by the total number of students.

Division is the mathematical operation that is used to determine the quotient of two or more numbers. Division entails splitting a number into equal groups using another number. The sign used to denote division is ÷

Tacos that should be prepared for one student = total tacos / number of students

= 40 / 15

In order to determine the number of tacos needed for 3 students, multiply the result gotten in the previous step by 3. Multiplication is the process used in determining the product of two or more numbers. The sign used to denote multiplication is x .

Tacos needed for 3 students = (40 / 15) x 3 = 8

To learn more about division, please check: brainly.com/question/194007

#SPJ1

Choose one value that is in the domain of both y(x) = x² and y² = x and that is greater than
0. Substitute that value into y(x) = x² and y² = x and then simplify. Explain how your answers
help to show that the graph on the left represents a function while the graph on the right
represents a relation. Show your work and use function notation where possible
I

Answers

We take the value 2 for which y(2)=4 and [tex]y^{2}[/tex]=2 and see that y(x)=[tex]x^{2}[/tex] is a function and [tex]y^{2}[/tex]=x is a relation.

Domain is the set of values that a variable can take in an algebraic expression.For the equation y(x)=[tex]x^{2}[/tex], x can take any value from negative infinity to positive infinity so we can say that the domain for x is (-∞,∞). For the equation [tex]y^{2}[/tex]=x, x can take any value greater than or equal to zero. Since x=[tex]y^{2}[/tex] we can't take a negative value for x because squared numbers are always positive, so the domain of x will be [0,∞). The common domain for both the equations is [0,∞). Let us choose a value from this common domain,let's say 2. Then for

y(x)=[tex]x^{2}[/tex]⇒y(2)=4 ...(i)

[tex]y^{2} =x[/tex]=2 then y=±[tex]\sqrt{2}[/tex]...(ii)

A function always has an output variable and one or more input variables.For first equation, y is the output variable and x is the input variable. A relation states that two expressions are equal and one is not dependant on another. For equation (i) y is dependant on x but in equation (ii) both the variables are independant.

Thus we can conclude that y(x)=[tex]x^{2}[/tex] is a function and [tex]y^{2}[/tex]=x is a realtion.

Learn more about functions and realtions here:

https://brainly.com/question/2253924

#SPJ9

HELP- pleaseeee I’m beggginnngg

Answers

The ending number is related to the starting number by n + 9.

To start with this magic number puzzle, let us take a positive number and a negative number. After that we have to perform some simple mathematical operations,

Taking positive number as 10 and negative number as -8.

Now, performing the mathematical operations as described in the next steps.

First starting with positive number which is 10.

Step-1. Add 10

So, 10+10 = 20

Step-2. Multiply by 2

So, 20×2 = 40

Step-3. Subtract 2,

So, 40 - 2 = 38

Step-4. Divide by 2,

So, 38/2= 19

Number chosen in the starting was 10 and at the end it became 19. The number 9 got added to 10.

Now, performing the steps on our negative number which is -8,

Step-1. Add 10

So, 10-8=2

Step-2. Multiply by 2

So, 2×2 = 4

Step-3. Subtract 2

So, 4-2 = 2

Step-4. Divide by 2

So, 2/2 = 1.

Number chosen in the starting was -8 and after performing the steps it became 1.

Now, for any number 'n',

Step-1. Adding 10

So, n+10

Step-2. Multiply by 2

So, 2(n-10) = 2n+20

Step-3. Subtract 2

So, 2n+20-2 = 2n+18

Step-4. Divide by 2.

So, (2n+18)/2 = n+9

The number taken in the starting was n and now it became n+9.

So the ending number becomes 9 times more in the end then the starting number.

To know more about Mathematical operations, visit,

https://brainly.com/question/4721701

#SPJ9

Question 2(Multiple Choice Worth 5 points)
(Irrational Numbers LC)
Describe in words where √60-11 would be plotted on a number line.
O Between -3 and -4, but closer to -3
O Between -3 and -4, but closer to -4
O Between 7 and 8, but closer to 8
O Between 7 and 8, but closer to 7

Answers

The number √60 - 11 will be plotted between -3 and -4, but closer to -3 (Option A), as seen by number system.

What is number system?A system of writing numbers is known as a number system. It is the mathematical notation for consistently employing digits or other symbols to represent the numbers in a particular set. It represents the arithmetic and algebraic structure of the numbers and gives each number a distinct representation.

Given: √60 - 11

The value of √60 - 11 is given as: √60 - 11 = 7.2 (approx.) - 11 = -3.2

Thus, as seen from the calculation of the value of the given number, √60 - 11 will lie between -3 and -4, but closer to -3 as -3.2 is closer to -3 than to -4.

Hence, The number √60 - 11 will be plotted between -3 and -4, but closer to -3 (Option A), as seen by number system.

To learn more about number system, refer to the link: https://brainly.com/question/13162939

#SPJ9

martin s cat weighs 12.37 pounds. what is this weighs written as a mixed number

Answers

Answer:

your mixed fraction would be 12 37/100

Step-by-step explanation:

The number has two parts the whole number part is 12, and the decimal part is .37, 12 would be the whole number part of your mixed fraction and we will convert the .37 to become the fraction part of your mixed fraction.

You have to convert the decimal part into a fraction since there are two decimal places you will have 100 in the denominator .37 becomes 37/100 simplify this fraction if possible.

which of rthe following goups of scores would hav ethe smallest standard deviation 20, 40, 60, 80, 100

Answers

In dataset 60 is the data is spread more tightly around the mean than in other datasets. Accordingly, it would have a smaller standard deviation.

n dataset C, the data is spread more tightly around the mean than in other datasets. Accordingly, it would have a smaller standard deviation

Standard deviation is 60

What do you mean by standard deviation?

The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed. In contrast, a high or low standard deviation indicates that the data points are, respectively, above or below the mean. A standard deviation that is close to zero implies that the data points are close to the mean. The curve at the top is more dispersed and has a greater standard deviation than the curve at the bottom, which is more concentrated around the mean and has a lower standard deviation.

To learn more about standard derivation, Visit:

https://brainly.com/question/475676

#SPJ4

List the numbers in order from least to greatest.
5/8, 1/2, 0.3 , -3/5 , -0.8 , -1/10

Answers

Answer:

-3/5, -1/10, -0.8, 0.3, 1/2, 5/8

Step-by-step explanation:

negatives are always less than positive numbers. As you can see the first numbers that are negative count down and then once it turns positive the numbers count up. For example, it goes -3,-1,-0 then 0,1,5

Show graphically that the system of linear equations 5x – y = 14 ; x – 2y =1 has a unique solution. Write the coordinates where line x – 2y =1 intersects the X-axis. Write the solution.

Answers

The graph of the system of linear equations is shown in the image below, where the solution is: (3, 1)

The coordinates where x - 2y = 1 intersects the x-axis (horizontal axis) is: (-14, 0)

How to Determine the Solution to the System of Equations?

Given the linear equations:

5x – y = 14 ---> equation 1

x – 2y = 1 ---> equation 2

Rewrite both equations in slope-intercept form as y = mx + b, where b represents the y-intercept of the line and m represents the slope.

5x - y = 14

-y = -5x + 14

y = 5x - 14 (slope is 5 and y-intercept is -14)

x - 2y = 1

-2y = -x + 1

y = 1/2x - 1/2 (slope is 1/2, and the y-intercept is -1/2).

Therefore, the graph of the system of linear equations is shown in the image below, where the solution is: (3, 1)

The coordinates where x - 2y = 1 intersects the x-axis (horizontal axis) is: (-14, 0)

Learn more about the graph of a system of equations on:

https://brainly.com/question/14323743

#SPJ1

HI, I need help!! I'm so lost on how to solve this.

Answers

Answer:

3⁹

Step-by-step explanation:

you can use a calculater and it will give 19683 and 3⁹ gives 19683

the density of a certain material is such that it weighs 3 grams per fluid ounce of volume. express this density in ounces per liter.

Answers

The density of the material in ounce per liter is 0.1059 ounce per liter.

How to express the density in ounce per liter?

The ounce per liter conversion selector on this page selects the density measurement unit to convert to starting from ounces per liter (oz/L).

Given that,

Density = 3 grams per fluid ounce

Convert grams to ounce.

1 grams = 0.0353 ounce

Then

Density = 3 * 0.0353 ounce per fluid grams

             = 0.1059 ounce per fluid grams

Convert fluid gram to liter

Density = 0.1059 ounce per 1000 liter

             = 0.0001059 ounce per liter

Hence, the density in ounce per liter is 0.0001059 ounce per liter.

To learn more about density in ounce per liter from the given link:

https://brainly.com/question/18373295

#SPJ4

1. 3x-2x² = 7
2. 5-2x² = 6x
3. (x+3)(x + 4) = 0
4. (2x+7)(x-1)=0
5. 2x(x-3) = 15

Answers

Answer:

No 3

2x+4x+3x+12=0

9x+12=0

9x=0_12

9x=-12

divide by 9

x=1.333

What clockwise angle rotations, if any, between 0 degrees and 360 degrees make the figure rotate onto themselves?

Answers

A clockwise 360 degrees angle rotation will make the figure rotate onto themselves.

Any angle rotations other than a 0 degree or a 360 degree will change the figure and so does not rotate onto themselves.

To rotate onto themselves, which means the figure should not be changed after the rotation transformation, we have to rotate it 360 degrees.

We are asked for a clockwise angle rotation, so the require angle rotation is of 360 degrees.

0 degree angle rotation will not make a rotation. So we will go with a 360 degree rotation. Any figure after a 'full circle' clockwise rotation will goes onto themselves.

Learn more about rotation at https://brainly.com/question/26249005

#SPJ9

How do you do these problems and solve

Answers

These questions are equations of one variable. An equation is an expression which has an equal sign, which is then evaluated isolating the variable in one side if the equation.

1) r + 12 = 36

r = 36 -12

r = 24

2) 22+ m = 24

m = 24 - 22

m = 2

3) -27 = n - 29

n = 2

4) -5 = b -26

b = 21

5) -17 = x -23

x = 5

6) v - 26 = - 4

v = 22

7) x+12 = 38

x = 26

8) 8= -12+ a

a = 20

9) b- 21 = 4

b = 25

10) 2 = x - 23

x = 25

11) x + 25 = 46

x = 21

12) -18 = x - 22

x = - 4

These questions are equations of one variable. An equation is an expression which has an equal sign, which is then evaluated isolating the variable in one side if the equation.

To learn more about equations with one variable refer here

https://brainly.com/question/10839449

SPJ9

if i drop a watermelon from the top of a water tower, and it takes 3.34 seconds to hit the ground, calculate how tall the tower is in meters.

Answers

The height of the water tower is found to be 54.66 meters.

What is acceleration due to gravity?

A free-falling object is one that is falling solely due to gravity.

Some key features regarding the acceleration due to gravity are-

A free-falling component has a downward acceleration of 9.8 m/s/s (on Earth). This magnitude for the acceleration of a free-falling object is so significant that it has its own name. The acceleration of gravity is the acceleration of any object moving solely under the influence of gravity. In fact, the acceleration of gravity is so important quantity that scientists have a special symbol to represent it - the symbol g. The most precise numerical value for gravity's acceleration is 9.8 m/s/s.

Now, according to the question;

It takes a watermelon 3.34 sec to reach the ground.

Use the equation of motion in straight line.

D  =  (1/2) x (gravity) x (time)²

D is the height of the water tower.

    =  (1/2) x (9.8 m/s²) x (3.34 sec)²

   =   (4.9 m/s²)  x  (11.16 sec²)

D = 54.66 meters.

Thus, the height of the water tower is estimated as 54.66 meters.

To know more about acceleration due to gravity, here

https://brainly.com/question/88039

#SPJ4

Avani is making smoothies. Each smoothie uses cup of yogurt. How many cups of

yogurt does she need to make 17 smoothies? Express your answer in simplest form.

5

16

Answer type: Mixed number

Submit Answer

Answers

Avani needs 6 cups of yogurt.

To find the amount of yogurt required for specified number of smoothies, simple multiplication operation needs to be performed.

For 1 smoothie, the required amount of yogurt = 3/8 cups

So, the required amount of yogurt for 17 smoothies = (3/8) × 17

Performing multiplication and division to find the amount of yogurt required

Amount of yogurt required = 51/8 cups

Converting the fraction into fraction into decimal -

Amount of yogurt required = 6.375 cups

Rounding off the number of cups to convert it in simplest form -

Number of cups of yogurt required = 6 cups

Hence, the amount of yogurt for making 17 smoothies is 6 cups.

Learn more about calculations on smoothie -

https://brainly.com/question/14387710

#SPJ4

The complete question is -

Avani is making smoothies. Each smoothie uses 3/8 cups of yogurt. How many cups of yogurt does she need to make 17 smoothies? Express your answer in simplest form.

The teacher is handing out note cards to her students. She gave 48 note cards to the first student, 54 note cards to the second student, 60 note cards to the third student, 66 note cards to the fourth student, and 72 note cards to the fifth student. If this pattern continues, how many note cards will the teacher give to the sixth student?

Answers

Answer:

She will give 78 students to the sixth student.

Step-by-step explanation:

The pattern is adding 6 each time.

tim has 74 socks, that are white or black. he has 1 more pair of white socks than black socks. how many individual socks of each color does he have?

Answers

Tim owns 74 socks, the colours of which are unknown.

He does, however, have an additional pair that is white rather than black.

Therefore, it suggests that we are working with the two hues white and black.

The result of dividing the total number of socks by two is:

= 74/2

= 37 socks, two pairs each for black and white.

But let's not forget that Tim has a pair of white socks in addition to his black pair.

The total number of white socks is equal to= 37+1= 38 socks.

Total black sock pairs= 37-1=36 socks.

Last but not least, the question asks us to count the number of single socks rather than pairs.

For white then:

There will be = (38x 2) socks per pair.

= 76 socks

For Black

The individual socks will be = (36 × 2)socks

= 72 socks

We can then deduce that there are 76 individual socks for white and 72 individual socks for black.

How many pairs of socks must you take to find a matching pair?

The solution would have to be four. Despite the large number of socks in the drawer, there are only three different colours, so if you take four socks, you will undoubtedly find at least one pair that matches.

To learn more about pair of socks visit:

https://brainly.com/question/15162655

#SPJ4

Use the point slope form to write the equation of a line that passes through the point (1,-17) with slope 4

Answers

The equation of line passing through (1, -17) with slope 4 will be y = 4x - 21 .

What is the slope intercept form of a line ?

The equation of line that can be written as y = mx + c, where m is the slope and c is the line's y-intercept, is known as a slope intercept form.

The equation of a line which is passing through point (1 , -17) with slope m = 4 can be found by using the slope intercept form which is given by :

y = mx + c

Here ; m is the slope and c is the y - intercept of the line.

So ;

The point given is (x , y) = (1, -17) and slope m = 4. Let's use these values to find out the equation of the line. But before that let's find out the value of y-intercept (c).

-17 = (4 × 1) + c

c = - 17 - 4

c = -21

Hence , the equation of line passing through (1, -17) will be :

y = 4 ×  x + (-21)

or

y = 4x - 21

Therefore , the equation of line passing through (1, -17) with slope 4 will be y = 4x - 21 .

Learn more about slope intercept form here :

brainly.com/question/18594541

#SPJ1

3. Exponential Function:
Bacteria grows on food by doubling every hour.
If the bacteria initially covers 10% of the food, it will
cover the entire food source in 3.3 hours.

Answers

Answer:

[tex]y=0.1(2)^x[/tex]

where x is time in hours, and y is the number of bacteria in percent in decimal form.

Step-by-step explanation:

General form of an exponential function:

[tex]y=ab^x[/tex]

where:

a is the initial value (y-intercept).b is the base (growth/decay factor) in decimal form.
If b > 1 then it is an increasing function.
If 0 < b < 1 then it is a decreasing function.    x is the independent variable.y is the dependent variable.

Define the variables:

Let x = time (in hours)Let y = number of bacteria (in percent in decimal form)

If the bacteria grows on food by doubling every hour then the growth rate b = 2.

If the bacteria initially covers 10% of the food then y = 10% when x = 0.

Therefore, a = 10% = 0.1.

Therefore, the equation is:

[tex]y=0.1(2)^x[/tex]

Substitute x = 3.3 into the found equation:

[tex]\begin{aligned}x=3.3 \implies y & =0.1(2)^{3.3}\\& =0.9849155307...\\& =1.0\:\sf (nearest\:tenth)\end{aligned}[/tex]

As 1.0 = 100%, this justifies the claim.

[tex]\begin{array}{|c|c|c|}\cline{1-3} x & y & y \\\cline{1-3} 0 & 10\% & 0.1\\\cline{1-3} 1 & 20\% & 0.2\\\cline{1-3} 2 & 40\% & 0.4\\\cline{1-3} 3 & 80\%\ & 0.8\\\cline{1-3} 4 & 160\% & 1.6\\\cline{1-3}\end{array}[/tex]

•The total surface Areas of a cone of base radius r and perpendicular height h, his given by s=πr ² +πr√(r²+h²). iF r and h are each increasing at the rate of 0.5m/s and 0.2m/s respectively, find the rate at which s is increasing at the instant when r=3m and h =4m​

Answers

The rate of change of the surface area of the cylinder is approximately to 18.473 square meters per second.

What is the rate of change of the surface area of a cone?

In this question we find a formula for the surface area of a cone, of which we must estimate its rate of change by applying derivative rules and the concept of rate of change. The rate of change is the first derivative of the equation:

ds / dt = 2π · r · (dr / dt) + π · √(r² + h²) · (dr / dt) + π · r · [0.5 / √(r² + h²)] · [2 · r · (dr / dt) + 2 · h · (dh / dt)]

If we know that r = 3 m, h = 4 m, dr / dt = 0.5 m / s and dh / dt = 0.2 m / s, then the rate of change of the surface area of the cone is:

ds / dt = 2π · (3 m) · (0.5 m / s) + π · √[(3 m)² + (4 m)²] · (0.5 m / s) + π · (3 m) · [0.5 / √[(3 m)² + (4 m)²] · [2 · (3 m) · (0.5 m / s) + 2 · (4 m) · (0.2 m / s)]

ds / dt ≈ 18.473 m² /s

The rate of change of the surface area of the cylinder is approximately to 18.473 square meters per second.

To learn more on rates of change: https://brainly.com/question/12786410

#SPJ1

Geometry question!!
Please help i’ll give points!

Answers

Answer:

63°

Step-by-step explanation:

[tex]m\angle OZQ=m\angle OZP+m\angle PZQ \\ \\ 125^{\circ}=62^{\circ}+m\angle PZQ \\ \\ m\angle PZQ=63^{\circ}[/tex]

Determine the inverse function of f(x)=1/7x-1/7​

Answers

The inverse of the function → y= f(x) = 1/7x - 1/7​ is -

f⁻¹(x) = 7x + 1.

We have -

y = f(x) = x/7 - 1/7

We have to find its inverse function.

What is the procedure to find inverse of function ?

Inverse of a function can be calculated by following the steps mentioned below -

Step 1 -  Replace 'y' with 'x' and vice - versa.

Step 2 - Rewrite the equation by solving for 'y'.

Step 3 - Replace 'y' with f⁻¹(x).

According to the question, the equation given is as follows

y = f(x) = x/7 - 1/7

Replace 'y' with 'x', we get -

x = y/7 - 1/7

Now, solve for y -

y/7 = x + 1/7

y = 7(x + 1/7)

y = 7x + 1

Replace 'y' with f⁻¹(x) -

f⁻¹(x) = 7x + 1

Hence, the inverse of the function → f(x) = 1/7x - 1/7 is -

f⁻¹(x) = 7x + 1.

To solve more questions on inverse of function, visit the link below-

https://brainly.com/question/28229665

#SPJ1

use the foil method to evaluate the expression: left parenthesis 2 plus square root of 3 right parenthesis left parenthesis square root of 3 minus 7 right parenthesis

Answers

-5√3  - 11 is value of expression.

What do math Surds mean?

An expression with a square root, cube root, or other root symbol is called a surd. Since the decimals of irrational numbers do not finish or recur, they cannot be expressed properly in decimal form. Surds are used to write irrational numbers precisely.

( 2 + √3) (√3 - 7)

First = 2√3

outer = 2(-7) = -14

inner = √3 √3 = 3

last = √3 (- 7)

= 2√3 + (- 14) + 3 + ( - 7√3)

= -5√3  - 11

Learn more about Surds

brainly.com/question/14032921

#SPJ4

circles with centers $(2,1)$ and $(8,9)$ have radii $1$ and $9,$ respectively. the equation of a common external tangent to the circles can be written in the form $y

Answers

The value of b in the equation of common external tangent to both the given circles is 3.75.

A circle is a shape formed by all points in a plane that are at a particular distance from the centre. It is the curve sketched out by a point moving in a plane so that its distance from a particular point remains constant.The equation of a circle with a centre at (2,1) and a radius of 1 is : (x - 2)² + (y - 1)² - 1² = 0.The equation of a circle with a center at (8,9) and a radius of 9 is : (x - 8)² + (y - 9)² - 9² = 0.The equation of the common external tangent is :y = mx + b, where m < 0If m < 0, then the circles touch each other.We will get the equation of the common external tangent by equating the equations of both the circles.(x - 2)² + (y - 1)² - 1² = (x - 8)² + (y - 9)² - 9²(y - 1)² - (y - 9)² = (x - 8)² - (x - 2)² + 1² - 9²(2y -10)(8) = (2x - 10)(-6) + 1 - 8116y - 80 = -12x + 60 - 8016y = -12x + 60y = (-3/4)x + (15/4)y = -0.75x + 3.75y = mx + bOn comparison, we get b = 3.75.

To learn more about tangent, visit :

https://brainly.com/question/2410166

#SPJ4

Other Questions
The table shows ordered pairs of the function y=8-2x. What is the value of y when x=8 Pls help and I will give brainliest, thanks! :) 21 The average person at rest takes approximately 16 breaths per minute. Approxir many breaths do they take in 70 years of 365 days each? Use a calculator. Write in exponential notation using powers of 10. The Fundamental Orders of Connecticut is widely considered to be:1. an early declaration of independence from Great Britain2. the first written constitution in the English colonies3. based on Native American governing practices4. an example of a bill of rights A 2010 u.s. census bureau report indicated there are 4,229,138 residents of indiana aged 25 and older. what percentage of the residents aged 25 and older have a degree if there are 326,036 residents with an associate's degree, 623,200 with a bachelor's degree, and 348,807 with either a graduate or professional degree? write your answer as a percent rounded to the nearest whole number. Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form. A certain plant grows 1 1/6 inches every week. How long will it take the plant to grow 6 1/6 inches? what constitutes as evidence to a historian and how do they use these sources to investigate the past? what is one major way to avoid plagiarism?group of answer choicesborrow an a paper from a friend and submit it as your own.cite all resources that you have incorporated into your work.purchase a well-written and well-researched paper from the internet.copy and cite text verbatim from a source, but do not use quotation ma a number z is divided by four added to one in mathematical translate? GP A series RLC circuit contains the following components: R=150, L=0.250H, C=2.00F, and a source with Vmax=210V operating at 50.0Hz. Our goal is to find the phase angle, the power factor, and the power input for this circuit. (a) Find the inductive reactance in the circuit. 43(-1) please solve this question tomorrow my exam of maths Why does it make sense that t(4) > t(2) branlyueer0997998933 minutes agoMathematicsCollegeANSWER RIGHT AWAY PLEASE!question one: simply the exponents. (show your work)- 21^0 = ?- (2/3)^-2 = ?question two: Solve the problem. (leave your answer as a base number with an exponent and show your work)- 4^6 / 4^2 = ?question three: Convert the number into numerical form. (show your work)- 8.723 x 10^-10 = ?question four: Solve the problem. (leave your answer in scientific notion and show your work)- 5.1 x 10^8 - 2.3 x 10^3 = ?- 6 x 10^5 x 1.1 x 10^7 = ?PLEASE ANSWER I WILL GIVE 100 POINTS TO ANYONE WHO ANSWERS AND MARK BRAINLIEST AT LEAST ANSWER THE ONES YOU KNOW 16(-4)= Answer what like by hand What does 'life-giving breezes sweep' mean? Which statement best describes the relationship between Jim Crow laws and the "separate but equal" doctrine? Explain the parts of this imaginary number. 7+4i Which jewish teaching has to do with Sabbath one pound of grapes costs $1.55. which equation correctly shows a pair of equivalent ratios that can be used to find the cost of 3.5 pounds of grapes? startfraction 1.55 over 1 endfraction