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3 years ago

Evaluate x + y + z if x = 3, y = -5, and z = -2

Mathematics

1 answer:

Eduardwww [97]3 years ago

7 0

x + y + z

Substitute the given values for x, y, and z.

(3) + (-5) + (-2)

Rewrite the equation.

3 - 5 - 2

Solve from left to right.

3 - 5 = -2

-2 - 2 = -4

<h3>Your answer is -4.</h3>

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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.

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3 years ago

How many kg equals 10.5 g??

olga55 [171]

10.5 grams equals to 0.0105 kilograms

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10,13,14,17,22,25 find the mean

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Please take a look at the image attached for an explanation.

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Can someone help me with this problem? Its due today plz i need help! I will give brainlist if it is right!

d1i1m1o1n [39]

Answer:

A (-4,0), B (0,3) and C (-6,5)

Step-by-step explanation:

The coordinates for A are (-4,-3) B (0,0) and C (-6,2)

From there just add 3 to all theY values

The coordinates of the translated triangle would be A (-4,0), B (0,3) and C (-6,5)

Hope that helps!

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2 years ago

Matt has a box that is 15 in long and 5 in wide the volume of the box is 225 cubic inches what is the height of the box

Liono4ka [1.6K]

Volume = Width x height x length

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Solve the equation to get h

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