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aivan3 [116]
3 years ago
15

What is the point slope point form of the line with slope -3/7 that passes through the point (5,8)

Mathematics
1 answer:
Talja [164]3 years ago
7 0

Answer:

The point slope form of this equation would be D) y - 8 = -3/7(x - 5)

Step-by-step explanation:

In order to find this, we simply plug in the information known into point-slope form, which is listed for you below.

y - y1 = m(x - x1)

y - 8 = -3/7(x - 5)

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NEED ASAP plz. I will also mark brainiest! Don't just take points, I will report you.
PilotLPTM [1.2K]

Part A:

You may choose the two lines connecting the origin and points A and B, and choose the portion of the space between them.

The line between the origin and A is

y = 3x

We want everything below this line (line included), so the first inequality is

y \leq 3x

The line between the origin and B is

y = \dfrac{1}{3}x

We want everything above this line (line included), so the second inequality is

y \geq \dfrac{1}{3}x

Create a system with these two inequalities and you'll have an area including only points A and B

Part B:

To verify the solutions, we can plug the coordinates of A and B in this system and check that we get something true: the coordinates of point A are (1,3), while the coordinates of point B are (3,1). The system becomes:

A:\begin{cases}3 \leq 3\cdot 1\\3 \geq \frac{1}{3}\cdot 1\end{cases},\quad B:\begin{cases}1 \leq 3\cdot 3\\1 \geq \frac{1}{3}\cdot 3\end{cases}

Which means

A:\begin{cases}3 \leq 3\\3 \geq \frac{1}{3}\end{cases},\quad B:\begin{cases}1 \leq 9\\1 \geq 1\end{cases}

And these are all true. So, the system is satisfied, which means that the points belong to the shaded area.

Part C

If you draw the line, you'll see that the only points that lay below the line are B and C. In fact, if we plug the coordinates we have

B:\ 1

And this are both true. You can check the coordinates of all other points, and see that they won't satisfy the inequality y<3x-6

3 0
3 years ago
<img src="https://tex.z-dn.net/?f=7%20-%204%20%5Cfrac%7B3%7D%7B4%7D%20" id="TexFormula1" title="7 - 4 \frac{3}{4} " alt="7 - 4 \
AlladinOne [14]

7 - 4 3/4

= 28/4 - 19/4 = 9/4

Answer is 2 1/4 or 2.25.

5 0
3 years ago
Use the image from problem 11 to answer this problem.
guajiro [1.7K]

Answer:

34.

Step-by-step explanation:

All angles of a triangle combined equal 180, so if 1 angle measures 146, subtract 146 from 180. 180-146=34

4 0
2 years ago
Which value of a would make the following statement true? -3(2x + a) = -6x + 15
klemol [59]
Your answer is -5.
This is because, if you expand the single bracket, you get -6x -3a, and since the other side of the equals sign is -6x + 15, then you need to do 15 ÷ -3 = -5.

I hope this helps!
6 0
3 years ago
Find the greatest common factor of the<br> following monomials:<br> u^v^2 11u^2v^5?
Ksenya-84 [330]

Answer:

hi

Step-by-step explanation:

5 0
2 years ago
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