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Mkey [24]
3 years ago
7

What is an equation of the line that passes through the point (-4,-3) and is perpendicular to the line 2x+3y=15

Mathematics
1 answer:
Katen [24]3 years ago
5 0

Answer:

The equation would be y = 3/2x + 3

Step-by-step explanation:

First we have to find the slope of the original line. We can do this by solving for y.

2x + 3y = 15

3y = -2x + 15

y = -2/3x + 5

Now that we have the slope of -2/3, we know the slope of the new line will be 3/2. This is because perpendicular lines have opposite and reciprocal slopes. We can use that and a point in point-slope form to find the equation.

y - y1 = m(x - x1)

y + 3 = 3/2(x + 4)

y + 3 = 3/2x + 6

y = 3/2x + 3

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Answer:

where is the rest of the question?

Step-by-step explanation:

3 0
3 years ago
Write the equations for 74,25a n d 49
schepotkina [342]

7425 ? 49
and = + in math
74250 + 49

8 0
4 years ago
Read 2 more answers
Does anyone know this?
Komok [63]

Answer:

Hi there!

The correct answer is: (x+8)² = 73

Step-by-step explanation:

First you want to modify the equation: x² + 16x - 6 = 3 into x² + 16x = 9 by adding 6 on both sides.

Then you analyze the new equation, if you can see, 16x is positive which means two positive numbers have to be added up to equal a positive. Which eliminates the choices that have (x-8)²

And now you are left with two choices:

(x+8)² =73 and (x+8)² = -55

Now remember, when you factor out (x+8)² it equals to x² + 16x + 64

next let's bring it back to the very first equation: x² + 16x = 9

now which choice matches the result x² + 16x = 9. The answer will be (x+8)² = 73 because when you subtract 64 on both sides you get 9.

4 0
3 years ago
g how many square feet of roofing is needed for the roof of a building that is 32 ft wide and 62 ft long? the slope of the roof
Ludmilka [50]

The area of the roof is 1984 sq. ft. 1984 square feet of roofing is needed for the roof of a building that is 32 ft wide and 62 ft long.

Given, the length of the roof is 62 ft long and the width of the roof is 32 ft wide. Therefore, the area of the roof is length * width.

Area of the roof = length of the roof * width of the roof

Area = 62 ft * 32 ft

Area = 1984 sq. ft

Here, also given the slope of the roof is 1:2 which indicates the ratio of rise and run.

Slope of the roof = Rise / Run = 1 / 2

Then, the slope factor is \frac{\sqrt{\frac{ 1^{2} }{2 ^{2} } }}{12} = \frac{1}{24} = 0.04167

To see a similar example:

brainly.com/question/27301581

#SPJ4

The right question is:

How many square feet of roofing is needed for the roof of a building that is 32 ft wide and 62 ft long?

4 0
1 year ago
Which table of values corresponds to the graph below?
Ann [662]

The table of values corresponding to the linear function that goes through (0, -2) and (2,0) is has points (x,y) in the following format:

(x, x - 2).

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

The line goes through (0,-2), hence the y-intercept is b = -2. The slope is given by:

m = (0 - (-2))/(2 - 0) = 2/2 = 1.

Hence the equation is:

y = x - 2.

Thus the points on the table are related as follows:

(x, x - 2).

For example

x  f(x)

0  -2

1   -1

2   0

3   1

4   2

5   3

And so on...

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

7 0
2 years ago
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