What is the equation of a line that has slope of -4/3 and passes through the point (12,-4)

Answer:

Midpoint are 4,10

Step-by-step explanation:

x midpoint - 4

y midpoint - 10

midpoint formula (x1 + x2)/2 , (y1 + y2)/2

(2+8)/2, (7+13)/2

4,10

Full Explanation

[tex] M = (x_M, \; y_M) [/tex]

[tex] M = \left(\dfrac{x_1 + x_2}{2}, \; \dfrac{y_1 + y_2}{2}\right) [/tex]

[tex] M = \left(\dfrac{2 + 6}{2}, \; \dfrac{7 + 13}{2}\right)[/tex]

[tex] M = \left(\dfrac{8}{2}, \; \dfrac{20}{2}\right)[/tex]

[tex] M = (4, \; 10)[/tex]

Answer:

+ 36

Step-by-step explanation:

assuming you require to make the terms into a perfect square.

using the method of completing the square

add ( half the coefficient of the y- term )² to y² - 12y

y² + 2(- 6)y + (- 6)²

= y² - 12y + 36

= (y - 6)² ← a perfect square

Answer:

a= [tex]\frac{g-f}{n}[/tex]

Step-by-step explanation:

First, start off by subtracting f from both sides. This gives you "g - f" and you are left with "an." Now, to isolate the variable, we must divide "n" from both sides and you will get "a= g - f/n," which is the final answer.

Hope this helps! :D

Answer: 124.3%

Step-by-step explanation:

318.2/256=1.24296875

1.24296875*100=124.296875

124.296875=124.3%

Since 318.2 is greater than 256, the percent is going to be greater than 100, because the number 318.2 is more than 100 of 256 which basically translates to 318.2 being greater than 256.

If the model is 3/5th of original plane then the length of the original plane is 41.6 feet.

It is given in the question that the model of an aircraft is 3/5th the length of the original plane.

So, Let the length of the original plane be x feet.

According to the question

3/5th of x is 24.96

[tex]x\times\frac{3}{5} =24.96[/tex]

Multiplying both sides by 5

3x=24.96*5

3x=124.8

Dividing both sides by 3

x=124.8/3

x=41.6

Hence , the value of x is 41.6 feet.

Therefore , if the model is 3/5th of original plane then the length of the original plane is 41.6 feet.

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Answer:

No solution

Step-by-step explanation:

Let's solve your system by elimination.

−2x+14y=−29;x−7y=19

Multiply the second equation by 2, then add the equations together.

(−2x+14y=−29)

2(x−7y=19)

Becomes:

−2x+14y=−29

2x−14y=38

Add these equations to eliminate x:

0=9

Yes, Chris has enough money to buy 30 pens and 30 folders.

Given:

So, the cost of 30 pens will be:

Similarly, the cost of 30 folders will be:

Cost of 30 pens and 30 folders = £22.5 + £34.8 = £57.3

Therefore, yes Chris has enough money to buy 30 pens and 30 folders.

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The p and t represent Principal and time and interest is 517.7

We are given the formula to find the interest. So, the formula is -

I = (PRT) ÷ 100

In this formula, I refers to interest, P refers to Principal, R refers to rate of interest and T refers to time. Time will be in years and division by 100 is done for rate of interest.

Keep the values in formula to calculate the interest -

As per the known fact, 12 months = 1 year

So, 20 months = (1 ÷ 12) × 20

20 months = 1.67 years

Interest = (2500 × 12.4 × 1.67) ÷ 100

Performing multiplication in numerator

Interest = 51,770 ÷ 100

Performing division to find the interest

Interest = 517.7

Hence, p refers to principal and t refers to time. The interest that Gordon will receive will be 517.7.

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Answer:

33.3%

Step-by-step explanation:

%error =error/actual value*100

=30-20/30*100

=10/30*100

=33.3%

Answer:

26 i believe 66 - 40 = 26 hope this helps

All of them would accurately represent how many flowers of each type she used

Answer:

L: (4,0) and L': (2,0)

Step-by-step explanation:

Answer:

Step-by-step explanation:

I messed up on P'

I drew it as -3,3 but it should be -3,2

Which is what i wrote it as

Answer:28/11

Step-by-step explanation:

1/4 hours for naomi

1/7 hours for collen

1/4+1/7=4+7 7x4=11/28

The domain and range of the function C(m) the equation for is  mathematically given as

Dc=[0,\infty)

This is further explained below.

Generally, The domain and the range of a function are as follows: The values that are assumed by an input are referred to as a function's domain, while the numbers that are assumed by the outputs are referred to as the function's range.

In this question:

C(m)=0.05m+20

The input, denoted by the letter m, is the number of phone calls, and this value might be anything between 0 to an unlimited amount. So

The domain is Dc=[0,\infty)

The value of C(0) is equal to 20 when the input m is set to 0. As m grows, so does C (m). What this indicates is that:

The range is: Rc=[20,\infty)

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CQ

Haley pays a monthly fee of $20 for her cell phone and then pays 5 cents per minute used. The total cost of Haley’s monthly cell phone bill can be expressed by the function C(m) = 0.05m + 20, where m is the number of minutes used. What are the domain and range of the function C(m)?

The integer in simplest form in -59/40.

It is required to find the scientific notation.

An integer is a whole number (not a fractional number) that can be positive, negative, or zero. Zero is not a fraction or decimal of any number. It is neither positive nor negative.

Given:

The given integer is

-7/8-(3/5)

We have to find the integer in simplest form.

According to given question we have

-7/8-(3/5)

=-7/8-3/5

Taking LCM of 8 and 5 we get,

LCM(8,5)=40

=-35-24/40

=-59/40

Therefore, the integer in simplest form in -59/40.

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Answer:

(- 2, 3 )

Step-by-step explanation:

6x + 2y = - 6 → (1)

3x - 4y = - 18 → (2)

multiplying (1) by 2 and adding to (2) will eliminate y

12x + 4y = - 12 → (3)

add (2) and (3( term by term to eliminate y

15x + 0 = - 30

15x = - 30 ( divide both sides by 15 )

x = - 2

substitute x = - 2 into either of the 2 equations and solve for y

substituting into (1)

6(- 2) + 2y = - 6

- 12 + 2y = - 6 ( add 12 to both sides )

2y = 6 ( divide both sides by 2 )

y = 3

solution is (- 2, 3 )

Answer:

(-2, 3)

Step-by-step explanation:

Answer:

z=3

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

2x + 4 = 3x - 2

2x - 3x = -2 - 4

-x = -6

x = 6

Answer:

x = 6

Step-by-step explanation:

We are given this equation:

2x + 4 = 3x - 2

And we want to evaluate the equation for x.

To do this, we need to isolate the variable (x) on one side of the equation.

We can start by putting the numbers on one side.

We can subtract 4 from both sides of the equation to start. Remember that when solving equations, whatever we do on one side of the equation, we need to do it on the other side as well.

2x + 4 = 3x - 2

     -4          -4

___________________

2x = 3x - 6

Now, let's put the variables on the other side.

Subtract 3x from both sides.

2x = 3x - 6

-3x   -3x

______________

-x = -6

Now, the numbers and variables are on different sides, however we are not done yet, as we need to take care of the negatives, as x shouldn't be negative in this case.

-x is the same as -1x, or -1 * x.

So, in order to get rid of the negatives, we can either multiply or divide both sides by -1.

Let's multiply both sides by -1.

-1(-x) = -1(-6)

x = 6

The value of x is 6.

Answer:

1 solution

Step-by-step explanation:

4h + 2 = 3h - 7

Subtract 3h from both sides:

(4h + 2) - 3h = (3h - 7) - 3h

h + 2 = -7

Then, subtract 2 from both sides to isolate h:

(h + 2) - 2 = (-7) - 2

h = -9

There is one solution, -9.

A guardrail's acceptable height range is 99cm to 113cm and the definite absolute value inequality is as follows | h - 106cm | ≤ 7cm,

We understand that the height must be 106cm with a maximum absolute deviation of 7cm.

As a result, the maximum height is:

106cm plus 7cm = 113cm

The bare minimum is:

99cm = 106cm -7cm

This is represented by the absolute value equation:

| h - 106cm | ≤ 7cm

In which h is the guardrail's height.

A guardrail's acceptable height range is 99cm to 113cm.

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Answer:

y=5.6

Step-by-step explanation:

1 + 2y = 11.08 +0.2y

Move the values w/ y all to one side and the ones without to the other side

1+ 2y = 11.08 + 0.2y

-0.2y             - 0.2y

-1        -1

1.8y=10.08

Divide by 1.8

y=5.6

Answer:

4

Step-by-step explanation:

56/4=14

72/4=18

100/4=25

4 has to be the biggest common factor.

Answer:

option A

Step-by-step explanation:

To the nearest tenth of a mile, the length of one side of this tract of land is 0.64 miles

This problem can be solved by using the concept of scale factor. Scale factor is useful in finding proportional measurements.

Proportion implies having the same ratio.

Scale factor can be defined as the ratio of the measurement of the model to the measurement of the actual form in the simplest form. In other words, the ratio of any two corresponding lengths in two similar geometric figures is called a scale factor.

If the scale factor is more than 1, that is, scale factor > 1,

then it is an enlargement,

If the scale factor is less than 1, that is, scale factor < 1,

then it is a reduction.

A rancher divided his land into square sections.

To the nearest tenth of a mile, the length of one side of this tract of land = 0.64 miles

Therefore, we get the length of one side of this tract of land as 0.64 miles.

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The value of the function p (q(z)) is  6z² +4 .

By considering the given functions

p(z) = 3r+4

q(z) = 2z²

p (q(z))= p(  2z²)

p (q(z))= 3(2z²)+4

p (q(z))= 6z² +4

A function in mathematics from a set X to a set Y assigns exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function domain and codomain, respectively. a mathematical expression, rule, or law that establishes the relationship between an independent variable and a dependent variable (the dependent variable). In mathematics, functions are everywhere, and they are crucial for constructing physical relationships in the sciences.

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The slope of the line is zero.

The increase divided by the run, or the ratio of the rise to the run, is known as the line's slope or gradient. In the coordinate plane, it represents the slope of the line.

From the given figure we can see that the line is parallel to the x-axis.

Any line parallel to the x-axis is given by the general equation y = a .

This equation can also be written as:

y = 0 x + a.

Comparing the above equation with the general equation of a straight line  y = mx + c

we see m = 0 and c = a (a is a constant)

Hence the slope of the line is 0.

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Answer:

A) E

B) Shape A and E

(i think)

Based on the corresponding angles theorem, since lines m and n are parallel lines, the value of x = -3.

The corresponding angles that are formed when two parallel lines are intersected by a transversal are congruent, according to the corresponding angles theorem.

Given that lines m and n are parallel lines that are intersected by transversal t, therefore:

2x + 9 = 7x + 24

Solve for x

2x + 9 - 9 = 7x + 24 - 9 [subtraction property of equality]

2x = 7x + 15

2x - 7x = 7x + 15 - 7x [subtraction property of equality]

-5x = 15

-5x/-5 = 15/-5 [division property of equality]

x = -3

Therefore, based on the corresponding angles theorem, since lines m and n are parallel lines, the value of x = -3.

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