Find the area fast please

Find The Area Fast Please

Answers

Answer 1

The area of the triangle is expressed as 6x² + 23x + 7/ 2

How to determine the area

The formula for area of a triangle is expressed as;

Area = 1/ 2 × b × h

Where;

b is the length of the base = 3x + 1 h is the height of triangle = 2x + 7

Substitute into the formula

Area = 1/ 2 × (3x+ 1) (2x + 7)

expand the bracket

Area = 1/ 2 ×(6x² + 21x + 2x + 7 )

collect like terms

Area = 1/ 2 (6x² + 23x + 7)

Area = 6x² + 23x + 7/ 2

Thus, the area of the triangle is expressed as 6x² + 23x + 7/ 2

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Related Questions

2x(4+1)+(3x+5)+(2x+1)

Answers

Here’s the answer to the equation

The grid above shows the graph of the parent function f(x) = | x | and a translated functions graph.


Write the equation for the translated graph.
Please Hurry, I will give brainliest!

Answers

By using the principles of translation, the following equation can be derived for the graph of the translated text:

g(x) = |x + 2| + 1.

What is a translation?

According to operations like multiplication or sum/subtraction either in its range (including values of y) or in its domain, a translation is represented by a change in the function graph (involving values of x).

Examples include shifts to the left, right, or bottom; compression or stretching along the vertical or horizontal axis; reflections across the x or y axes; and rotations of a degree measured around the origin.

From the graph, we have that the parent function was:

Shifted left 2 units, hence x -> x + 2.

Shifted up 1 unit, hence y -> y + 1.

Hence, considering the parent function f(x) = |x|, the equation for the translated graph is given by:

g(x) = |x + 2| + 1.

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At a constant temperature, the atmospheric pressure p in pascals is given by the formula p=101.3 e⁻⁰.⁰⁰¹h , where h is the altitude in meters. What is p at an altitude of 500 m ?

Answers

At an altitude of 500 meters, the atmospheric pressure (p) will be 61.46 pascals.

The exponential constant, denoted by the symbol e, is an essential mathematical constant. Its value is approximately equal to 2.718. This value occurs very frequently in mathematics when it is used to model physical and economic phenomena.

Here, we are given an exponential function- p = 101.3[tex]e^{-0.001h}[/tex]

where p = atmospheric pressure in pascals

h = altitude in meters.

If the altitude is 500m

h = 500

Then,

p = 101.3 [tex]e^{-0.001 * 500}[/tex]p

=  101.3 [tex]e^{-0.5}[/tex]p

=  101.3/ [tex]e^{-0.5}[/tex]p

= 101.3/ 1.648p

= 61.46

Thus, at an altitude of 500 meters, the atmospheric pressure (p) will be 61.46 pascals.

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Find the compound interest and the amount after twelve seconds if the interest is compounded
every three seconds.
Principal 20,000
Rate of interest = 800% per minute
=
Total amount =
Compound interest =

Answers

well, we know the rate is compounding at 800% per minute.

the elapsed time will be 12 seconds, and since a minute has 60 seconds, that'd be 12/60 minutes.

the compounding period is 3 seconds, and since a minute has 60 seconds, that means is compounds 60/3 times, or namely 20 times.

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$20000\\ r=rate\to 800\%\to \frac{800}{100}\dotfill &8\\ n= \begin{array}{llll} \textit{times it compounds per minute}\\ \textit{twenty times} \end{array}\dotfill &20\\ t=minutes\to \frac{12}{60}\dotfill &\frac{1}{5} \end{cases}[/tex]

[tex]A=20000\left(1+\frac{8}{20}\right)^{20\cdot \frac{1}{5}} \implies A =20000(1.4)^4\implies A=76832[/tex]

One number is 19 greater than the other, the sum of these numbers is 97. What is the greater number?

Answers

Answer:

Greater number = 58

Step-by-step explanation:

The equation is,

→ (x + 19) + x = 97

Now the value of x will be,

→ (x + 19) + x = 97

→ 2x = 97 - 19

→ x = 78/2

→ [ x = 39 ]

Then the greater number is,

→ x + 19

→ 39 + 19 = 58

Hence, the answer is 58.

Answer:

58

Step-by-step explanation:

first number=x

second number= x+19

x+x+19= 97

thus, the two numbers are 39 and

The price of Stock A at 9 A.M. was ​$15.03. Since​ then, the price has been increasing at the rate of ​$0.05 each hour. At noon the price of Stock B was ​$15.53. It begins to decrease at the rate of ​$
0.14 each hour. If the two rates​ continue, in how many hours will the prices of the two stocks be the​ same?

Answers

After 1.842 hours the price of Stock A and Stock B will be the same using a set of linear equations.

A grouping of one or more linear equations containing the same variables is known as a system of linear equations.

For Stock A :

The initial price = $15.03

The rate of increase = $0.05

For Stock B :

The rate of decrease = $15.53

The rate of decrease per hour = $0.13

Then the price of stock A at noon will be:

$ 15.03 + $ (0.05 × 3) = $ 15.03 + $ 0.15 = $15.18

The period of time during which the stock price will remain constant:

15.18 + 0.05t = 15.53 - 0.14t

Simplifying the terms we get,

0.05t + 0.14t = 15.53 - 15.18

0.19t = 0.35

t = (0.35 ÷ 0.19) hours

t = 1.842 hours

Therefore, the stocks will be of equal price after 1.842 hours.

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ײ + 5× - 11 + 3ײ - 11 × + 2

hello guys please solve and give a solution tthankyou​

Answers

Step-by-step explanation:

start by collecting like terms

4x² - 6x -9

use quadratic equation, a=4, b= 6 and 9 = c.

x = 5,78 or x = -4,28

A women bought some large frames for $19 each and some small frames for $7 each at a closeout sale. If she brought 19 frames for $205, find how many of each type she bought

Answers

Answer:

the one I have found that would is

13 small frames

6 big ones

Step-by-step explanation:

not gonna lie I used trial and error

so I went for example 19 x 10 = 190

205 - 190 = 15 and then 15 / 7

I did this until I got an whole number on the divide by seven bit

Manuel gave the cashier $20 to pay for 3 bottles of hand sanitizer. The cashier gave him $8.03 in change. Each bottle cost the same amount.

Answers

Answer:

Each bottle cost $3.99.

Step-by-step explanation:

$20-$8.03=11.97

Each bottle = $11.97÷3

=$3.99

So now each bottle cost$3.99

need help with inequality equations

Answers

Answer:

I and III

Step-by-step explanation:

I.

-6 - x ≤ 7

-6 - (-13) ≤ 7

-6 + 13 ≤ 7

7 ≤ 7

True

II.

-6 - x ≤ 7

-6 - (-14) ≤ 7

-6 + 14 ≤ 7

8 ≤ 7

False

III.

-6 - x ≤ 7

-6 - (-6) ≤ 7

-6 + 6 ≤ 7

0 ≤ 7

True

I hope this helps!

Triangle ABC with vertices A(–4, –4), B(–1, –2), C(3, –1) is rotated 180° about the origin. What are the coordinates of triangle A′B′C′?

Answers

Answer:

A(4, 4), B(1, 2), C(-3, 1)

Step-by-step explanation:

Because the triangle is rotated 180° about the origin you are just rotating it 2 quadrants, the size stays the same.

The rule for rotating 180° is if (x, y) is rotating 180° then the new position is (-x, -y).

So:

A(-4, -4), which then becomes B(-(-4), -(-4) ) = B(4, 4)

B(–1, –2) which becomes B(-(–1), –(-2) ) = B(1, 2)

C(3, –1) which becomes C(-3, –(-1) ) = C(-3, 1)


Find the domain, points of discontinuity, and x - and y - intercepts of each rational function. Determine whether the discontinuities are removable or non-removable. y=3x-3 / x²-1

Answers

The domain of given points are :

IR x ≠ ±1

Points of discontinuity - x = -1 ( non removable / asymptote )

                                         x = 1 ( removable / hole)

x - intercept = 1 , y -  intercept = 3

What is rational functions ?

Any function that can be expressed as a polynomial divided by a polynomial is said to be rational. The domain of a rational function is the set of all numbers except the zeros of the denominator since polynomials are defined everywhere. First example: f(x) = x/ (x - 3).

CALCULATION

y=3x-3 / x²-1

= 3(x-1)/(x+1)(x-1)

The domain of given points are :

IR x ≠ ±1

Points of discontinuity - x = -1 ( non removable / asymptote)

                                       x = 1( removable / hole)

x-intercept :

3(x-1)=0

3x-3=0

x=1

y - intercept :

3(0-1)/(0+1)(0-1)=3

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Complete the identities.
csc θ =1/?

Answers

Answer:

? = sin θ

Step-by-step explanation:

csc θ =1/?

csc θ =1/sin θ

Questions on the picture below or above

Answers

Answer:

hundred

million

hundredth

5800

2

460000

0.07

Step-by-step explanation:

17 + x = 15
pls help

Answers

Answer:

x = -2

Step-by-step explanation:

The equation is,

→ 17 + x = 15

Now the value of x will be,

→ 17 + x = 15

→ x = 15 - 17

→ [ x = -2 ]

Hence, the value of x is -2.

Step-by-step explanation:

17+x=15

17+x-17=15-17

x=-2

Please help

Which of the following lines is perpendicular to y = 1/4x -3. Select all that apply.
A. Y=4x+9
B. 8x-2y=3
C. 4x-y=-2
D. Y=-4x+6
E. Y=4x

Answers

The slope of a line is y=mx+c, where m is the slope. The lines is perpendicular to y = 1/4x -3 is Y=-4x+6.

What is slope intercept form?

The slope of a line is y=mx+c, where m is the slope.

The given line is y = 1/4x -3.

slope m1=1/4.

slope of second line=-(1/m)

=-(1/1/4)

=-4

point slope intercept form is y-y1=m(x-x1)

Equation of the perpendicular line passing through point (0,6) is

y-6=-4(x)

y=-4x+6

Therefore the line perpendicular to y = 1/4x -3 is Y=-4x+6.

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28:49 ratio in simplest form

Answers

Answer:

4:7

Step-by-step explanation:

thats the answer mate

Answer:

4 : 7

Step-by-step explanation:

28 : 49 ← divide both parts by 7

= 4 : 7 ← in simplest form

the ratio is in simplest form when no other value but 1 divides into the 2 parts of the ratio.

Abby stacked two cube-shaped blocks, as shown below, and plans to paint the figure for an art project.



What is the surface area of the figure if s = 5 inches?

Answers

When Abby stacked two cube-shaped blocks, the surface area of the figure if s = 5 inches is 250 inches²

What is surface area?

It should be noted that the surface area of a solid object is a measure of the total area that the surface of the object occupies.

Length (l) = 5 in

Width (w) = 5 in

Height (h) = 10 in

Surface area of figure

= 2 (lw+wh+hl)

= 2 (25 + 50 + 50)

= 2(125)

= 250

Therefore, when Abby stacked two cube-shaped blocks, the surface area of the figure if s = 5 inches is 250 inches²

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What is the approximate value of √8

Answers

Answer:

Close to 3 since 8 is close to 9.

The actual value was 2.8, so I approximated what was closest to it using rounding and the most logical explanation.

Christmas tree lights are used not only for christmas trees, but sometimes to decorate college dorm rooms. Suppose that a string has 20 light bulbs. These lights are all wired in series, so that if one light bulb fails, the whole string fails. The probability that any one light fails is 0. 2. Each of the individual lights are independent of each other. What is the probability that the string will not fail?.

Answers

If a string has 20 light bulbs and these lights are all wired in series, so that if one light bulb fails, the whole string fails and the probability that any one light fails is 0.2 and each of the individual lights are independent of each other, then the probability that the string will not fail is 0.0115.

Probability in mathematics deals with the likelihood of an event to take place.

The probability that the string will not fail refers to when all 20 bulbs will not fail. As given in the conditions, each of the individual lights are independent of the other. Therefore;

the probability that any one of the lights will not fail is:

1 - probability that any one light fails = 1 - 0.2 = 0.8

And we need all 20 to be complete. The unity of events is a product of probabilities. Therefore the probability that the string will not fail is:

P = 0.8^20

P = 0.0115

Hence 0.0115 is the probability that the string will not fail.

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10)110
help me please

Answers

Answer:

If it is a division problem, then it is 11.

If it is a multiplication problem then it is 1100.

But it looks like division, so probably 11.

Answer:

011

Step-by-step explanation:

         0 1 1

--------------------------------

1 /

          0 1 1 0

 − 0    

   1 1  

 − 1 0  

     1 0

   − 1 0

       0

Amy inputs 1÷17 in her calculator. The calculator displays 0.0588235294. Is the quotient a rational or an irrational number? Explain.

Answers with explanation please and thank you:))​

Answers

The quotient of 1 ÷ 17 is a rational number.

In this question, Amy inputs 1÷17 in her calculator.

The calculator displays 0.0588235294

We need to check whether the quotient is a rational or an irrational number.

The quotient of 1 ÷ 17 is a rational number.

1 ÷ 17 can be written as 1/17, which is a rational number.

The quotient of 1 ÷ 17 is a decimal: the quotient a rational or an irrational number.

Therefore, the quotient of 1 ÷ 17 is a rational number.

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Identify each of the following anglemeasures as acute, right, obtuse, straight, or reflex 35° 91° 65° 28°

Answers

The angles 35° 65° and 28° are acute angles and the angle 91° is an obtuse angle

How to identify each of the  angle measures?

The angle measures are given as:

35° 91° 65° 28°

As a general rule:

Angles that are less than 90 degrees are acute angles

This means that

The angles 35° 65° and 28° are acute angles

Also, we have

Angles that are between 90 degrees and 180 degrees are obtuse angles

This means that

The angle 91° is an obtuse angle

Hence, the angles 35° 65° and 28° are acute angles and the angle 91° is an obtuse angle

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a to the power of 5 divided by a to the power of 3

Answers

Answer:

Step-by-step explanation: i thank the answer is 100 .

What is the value of the expression 8 + (9 -1) \div÷ 4?

Answers

Answer:10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

8 + (9- 1) ÷ 4

Use PEMDAS to determine order of operations in a mathematical expression

The order of operations is

P = parentheses
E = exponent

M = multiplication

D == division

A = addition

S = subtraction

Note that multiplication and division have the same priority and we go from left to right that case. Because it does not affect the answer.

So 12 ÷ 4 x 6 = 12 x 6 ÷ 4
Same for addition and subtraction - same priority

Using PEMDAS

(9 - 1) is executed first giving 8

The expression becomes 8 + 8 ÷ 4

Next division is performed so 8 ÷ 4 is executed giving 2 as the answer

Finally 8 + 2 is executed giving 10

Work out
(3 × 10^−3)−(6 × 10^−5)
Give your answer in standard form.

Answers

Answer:

answer is

[tex] {2.94 \times 10}^{ - 3} [/tex]

Step-by-step explanation:

3*1/1000-6*1/100000=0.003-0.00006

=

[tex] {2.94 \times 10}^{ - 3} [/tex]

Identify the number types that describe 7 squared

Answers

The square root value of 7 is 2.645.

Irrational number

All real numbers that are not rational are considered irrational numbers. In other words, it is impossible to describe an irrational number as the ratio of two integers.

Any square root number that cannot be represented as a fraction [tex]\frac{P}{Q}[/tex] for any integer p and q is said to be irrational.

A real number that cannot be expressed as a straight forward fraction is referred to as an irrational number. It cannot be described using a ratio. When p and q are integers and q is not equal to 0, N is not equal to [tex]\frac{P}{Q}[/tex] if N is irrational.

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Lisa has a button collection and decided to measure her 12 favorite buttons to the nearest 1/8 inch. Her results are shown in the line plot below.

(look at photo attached)

If she took one of her smallest buttons, one of her largest buttons, and one of her most common-sized buttons and laid them side-by-side, what would be their combined length?

Answers

Answer:

2 3/4

Step-by-step explanation:

the Smallest is 1/2

the biggest is 1 1/2

the most common is 3/4

Adding them all up will give you 2 3/4 or 11/4

Answer:

2[tex]\frac{3}{4}[/tex]

Step-by-step explanation:

the smallest button is [tex]\frac{1}{2}[/tex]

the most common button is [tex]\frac{3}{4}[/tex]

the largest button is 1 [tex]\frac{1}{2}[/tex]

add these buttons together

[tex]\frac{1}{2} + \frac{3}{4} + 1 \frac{1}{2} =[/tex]

find the LCD of the denominators

factors of 2: 2, 4, 6, 8, 10

factors of 4: 4, 8, 12, 16, 20

find the factor that is the same in the two rows

factors of 2: 2, 4, 6, 8, 10

factors of 4: 4, 8, 12, 16, 20

2*2 = 4

[tex]\frac{1}{2}[/tex]· 2 = [tex]\frac{2}{4}[/tex]

[tex]\frac{2}{4} + \frac{3}{4} + 1 \frac{2}{4} =[/tex]

1[tex]\frac{7}{4}[/tex]

[tex]\frac{7}{4} = 1 \frac{3}{4}[/tex] + 1

2[tex]\frac{3}{4}[/tex]

4r-4s+4t = -4
4r+s-2t= 5
-3r-3s-4t=-16

Answers

Answer:

1) R = 1 S = 3 T = 1

2) R = 1 S = 3 T = 1

3) R = 1 S = 3 T = 1

Step-by-step explanation:

Surprisingly each of the situations end up with 1, 3, 1. I double checked with a calculator and they all end up being true. Hope this helps. Have a great night. :)

I need help figuring out what 7x + 5 divided by x is

Answers

Answer:

The way you described this question was a bit confusing- but here is what I can provide based off of what you said.

Step-by-step explanation:

7x+5/x


Please provide a picture next time

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