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3 years ago

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Which are the true statements?

1 answer:

Oduvanchick [21]3 years ago

5 0

Oh wowowiwowo I’m good ☺️

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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

What is the volume of a hemisphere with a radius of 26.7 m, rounded to the nearest tenth of a cubic meter?

attashe74 [19]

Answer:

$39,865.1m^3$

Step-by-step explanation:

a hemisphere is half a sphere.

And if the formula for the volume of a sphere is:

$V=\frac{4\pi r^3}{3}$

we must calculate the volume of the sphere and in the end divide by two to find the volume of the hemisphere.

Since the radius is:

$r=26.7m$

substituting this into the formula for volume:

$V=\frac{4\pi (26.7m)^3}{3} \\\\V=\frac{4(3.1416)(19,034.163m^3)}{3} \\\\V=79,730.12m^3$

this is the volume of the total sphere, thus the volume of a hemisphere is:

$\frac{V}{2}=\frac{79,730.12m^3}{2}\\ =39,865.06m^3$

rounding to the nearest tenth:

$39,865.1m^3$

8 0

3 years ago

Read 2 more answers

The length of the base of a right triangle is 12 meters. The height of the right triangle is 9 meters. find the area of the righ

Komok [63]

Answer:

A=54m²

Step-by-step explanation:

A = hbb/2 =9 · 12/2 = 54m²

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2 years ago

Mrs cunningham wants to use rubber tiles to cover the floor of an indoor playground

snow_lady [41]

Answer:

the unit cost per rubber tile is $$$$$$$$$$$$$6

Step-by-step explanation:

..

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2 years ago

There are 50 campers at day camp and 10 counselors. Write the ratio of campers to counselor as a fraction . Explain how to use e

nadezda [96]

Take the common denominator and divide by 3 then youll get 58

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3 years ago