All categories

3 years ago

Choose the best graph that represents the linear equation -24y = 3x + 24

Mathematics

1 answer:

Alisiya [41]3 years ago

7 0

Answer:

Step-by-step explanation:

Given equation is $-24y = 3x + 24$ .

Now we need to graph that given equation $-24y = 3x + 24$ to see which of the given choices best matches with the graph.

First let's solve the equation for y

$-24y = 3x + 24$

$y=\frac{3x}{-24}+\frac{24}{-24}$

$y=-\frac{1}{8}x-1$

Now compare it with $y=mx+b$ , we get:

y-intercept b=-1 and slope $m=-\frac{1}{8}$

y-intercept is always graphed first so mark a point at (0,-1).

Then due to negative slope go down by 1 unit then 8 unit right. It will reach the new point (8,-2).

Now joint both points by a straight line to get the final graph as shown below.

You might be interested in

A jogger runs 140 m due west, then changes direction for the second leg of her run. At the end of the run, she is 374 m away fro

USPshnik [31]

Answer:

The length of her second displacement = 247.12 m.

The direction of her second displacement = 31.24° from west.

Step-by-step explanation:

As per the question,

From the figure as drawn below,

Let the starting point be O. After running 140 m due west, she reached at point A.

∴ OA = 140 m

And At the end of the run, she is 374 m away from the starting point at an angle of 20° north of west.

∴ OP = 374 m

We have to find the distance AP = x.

By using the cosine rule in triangle OAP

$cos \theta = \frac{OA^{2}+OP^{2}-AP^{2}}{2\times OA\times OP}$

After putting the given value, we get

$cos 20= \frac{140^{2}+374^{2}-x^{2}}{2\times 140\times 374}$

$x^{2}=140^{2}+374^{2} - 2\times 140\times 374\times cos 20$

∴ x = 247.12 m

Hence,the length of her second displacement = 247.12 m.

Again,

By using the cosine rule in triangle OAP, we get

$cos \alpha = \frac{OA^{2}+AP^{2}-OP^{2}}{2\times OA\times AP}$

After putting the given value, we get

$cos \alpha = \frac{140^{2}+247.12^{2}-374^{2}}{2\times 140\times 247.12}$

∴ α = 148.759°

Hence, the direction of her second displacement = 180° - α = 180° - 148.759 = 31.24° from west.

8 0

3 years ago

Rose has $30 to spend on school supplies. She spent a total of $12.52, including tax, on a new pack of binders. She needs to sav

zysi [14]

Answer:

20 is the answer because kflfyuuddgiurdgitschiirdvjotdchoud myth is fcb. of. kffvjufc kydgk uth dv off ni o

6 0

4 years ago

I just two questions :)

pogonyaev

Answer:

Hi There!!

Step-by-step explanation:

Your answers are:

I hope this helps!!

- abakugosimp

7 0

3 years ago

Read 2 more answers

Which inequality represents a number n that is less than or equal to 3 but greater than -2?

Kisachek [45]

-2 < n $\leq$ 3

This inequality basically says "-2 is less than n, which is less than or equal to 3".

Mark as brainliest if this helped! :)

5 0

3 years ago

Which one is it? need help please

klio [65]

When x = - 4 then
y = 1/2(-4) -6
y = -2 - 6
y = -8
solution (-4, -8)
answer is
B. (-4, -8) second choice

3 0

4 years ago