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3 years ago

10

Identify the vertex of each function please help

1 answer:

Svetlanka [38]3 years ago

8 0

Answer:

12. (4, 7)

13. (5, -1)

Step-by-step explanation:

Rewrite in vertex form and use this form to find the vertex (h, k).

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What are the solutions to the following system?

bija089 [108]

The solutions are $(\sqrt{2},-1) \text { and }(-\sqrt{2},-1)$ .

Solution:

Given equation:

$-2 x^{2}+y=-5$

Add $2 x^{2}$ on both sides.

$-2 x^{2}+y+2 x^{2}=-5+2 x^{2}$

$y=-5+2 x^{2}$ -------- (1)

$y=-3 x^{2}+5$ (given) -------- (2)

Equate (1) and (2).

$-5+2 x^{2}=-3 x^{2}+5$

Add $3 x^{2}$ on both sides.

$-5+2 x^{2}+3 x^{2}=-3 x^{2}+5 +3 x^{2}$

$-5+5x^{2}=5$

Add 5 on both sides.

$-5+5x^{2}+5=5+5$

$5x^{2}=10$

Divide by 5 on both sides, we get

$x^{2}=2$

Taking square root on both sides, we get

$x=\sqrt{2}, x=-\sqrt{2}$

Substitute $x=\sqrt{2}$ in (1).

$y=-5+2(\sqrt{2})^2$

$y=-5+4$

$y=-1$

Substitute $x=-\sqrt{2}$ in (1).

$y=-5+2(-\sqrt{2})^2$

$y=-5+4$

$y=-1$

Therefore the solutions are $(\sqrt{2},-1) \text { and }(-\sqrt{2},-1)$ .

Option C is the correct answer.

6 0

3 years ago

Help, please!<br><br>3x−y=12 <br><br>x=−6y−15 <br><br>What is the solution? Show work!

KiRa [710]

Answer:

everything can be found in the picture above. I hope it helps

4 0

3 years ago

URGENT!! DUE IN 15 MIN!!<br> *don't mind the answer I chose*

prisoha [69]

I think its D but im not sure

8 0

3 years ago

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What is the y-intercept of the line y+11= -2(x+5)?

poizon [28]

Answer:

<u>y-intercept</u><u> </u><u>is</u><u> </u><u>(</u><u>0</u><u>,</u><u> </u><u>-</u><u>2</u><u>1</u><u>)</u>

Step-by-step explanation:

For y-intercept, x = 0:

${ \sf{y + 11 = - 2(0 + 5)}} \\ { \sf{y + 11 = - 10}} \\ { \sf{y = - 21}}$

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3 years ago

How many square feet of outdoor carpet will we need for this hole?

svet-max [94.6K]

Answer:

128 sq ft

Step-by-step explanation:

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3 years ago

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