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devlian [24]
2 years ago
10

Can someone tell me the answer and why plss

Mathematics
1 answer:
Julli [10]2 years ago
7 0

Answer:

Step-by-step explanation:

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What is the slope of the line that is perpendicular to the line that passes through (-2, 7) and (4, 9)? Type a numerical answer
kodGreya [7K]

Answer:

Therefore m_{2} = -3.

Step-by-step explanation:

i) let us say the slope of the line passing through (-2,7) and (4,9) is m_{1}.

ii) to find the slope of the line passing through two points (x_{1}, y_{1}) and (x_{2},y_{2}) we use the formula m = \dfrac{y_{2} - y_{1} }{x_{2}  - x_{1} }. Therefore we can say that  m_{1} = \dfrac{9 - 7}{4 - (-2)} = \dfrac{1}{3}.

iii) let us say the slope of the perpendicular line to the line  passing through (-2,7) and (4,9) is m_{2}

iv) from the formula for the slopes of a line and the line perpendicular to it which is given by m_{1} × m_{2} = -1, therefore m_{2} = -1 ÷  m_{1} = -3. Therefore m_{2} = -3

6 0
3 years ago
What is the angle relationship between ZBAC and ZDCA?<br> F<br> R<br> G
horsena [70]

The angle BAC and DCA are alternate interior angles , Option D is the right answer.

What are Parallel Lines ?

The lines in a plane which never intersect and are at a same distance always are called Parallel Lines.

In the given question it is given that there are two lines FG and DE

The lines are parallel to each other , and transversal are AC and BC .

The angle BAC and DCA are alternate interior angles as AC is the transversal of the parallel lines.

Option D is the right answer.

To know more about Parallel Lines

brainly.com/question/16701300

#SPJ1

4 0
2 years ago
A rectangular box has a base that is 4 times as long as it is wide. The sum of the height and the girth of the box is 200 feet.
enyata [817]

Answer: V(W) = (1/3)*(*W^2*800ft - 8W^3) and the domain is 0 < W < 100ft.

Step-by-step explanation:

The dimensions of the box are:

L = length

W = width

H = heigth.

We know that:

L = 4*W

And the girth of a box is equal to: G = 2*W + 2*H

then we have:

2*W + 2*H + H = 200ft

2W + 3*H = 200ft

Then we have two equations:

L = 4*W

2W + 3*H = 200ft

We want to find the volume of the box, which is V = W*L*H

and we want in on terms of W.

Then, first we can replace L by 4*W (for the first equation)

and:

2*W + 3*H = 200ft

3*H = 200ft - 2*W

H = (200ft - 2*W)/3.

then the volume is:

V(W) = W*(4*W)*(200ft - 2*W)/3

V(W) = (1/3)*(*W^2*800ft - 8W^3)

The domain of this is the set of W such that the volume is positive, then we must have that:

W^2*800ft > 8W^3

To find the maximum W we can see the equality (the minimum extreme is 0 < W, because the width can only be a positive number)

W^2*800ft = 8W^3

800ft = 8*W

100ft = W.

This means that if W is equal or larger than 100ft, the equation gives a negative volume.

Then the domain is 0 < W < 100ft.

6 0
3 years ago
Subtract: (3x^2 − 8x + 3) − (−5x^2 + 4x − 5)
koban [17]

Answer:

A

Step-by-step explanation:

Add 3x^2 and 5x^2 now it = 8x^2

Add -8x and -4x = -12x

look at your answer choices the only one that has 8x^2-12x is A

6 0
3 years ago
Read 2 more answers
Two friends, Damian and Nicole, took summer jobs. The equation y = 15.52
Sindrei [870]

Answer:

sorry

Step-by-step explanation:

5 0
2 years ago
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