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3 years ago

Evaluate |-11| + |-7|. -18 -4 4 18

Mathematics

1 answer:

Marta_Voda [28]3 years ago

4 0

Answer: D) 18

======================================================

Explanation:

|-11| simplifies to 11

|-7| simplifies to 7

Whatever is inside the absolute value, you just remove the negative and that's the result of that absolute value expression. It represents the distance on a number line. So for instance -11 is 11 units from 0, which is why |-11| = 11.

Overall,

|-11| + |-7| = 11 + 7 = 18

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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.

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Equate (1) and (2).

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

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Divide by 5 on both sides, we get

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Taking square root on both sides, we get

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

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$y=-5+4$

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

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Option C is the correct answer.

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Tema [17]

Answer:

x=18

Step-by-step explanation:

We need to find the areas of the rectangles

1st rectangle

A= l*w

A = (2x+4)*9

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2nd rectangle

A = l*w

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Since the area of the rectangles are equal, we set these two equations equal

18x+36 = 45x-450

Subtract 18x from each side

18x-18x+36 = 45x-18x-450

36 = 27x-450

Add 450 to each side

36+450 =27x

486 = 27x

Divide by 27 on each side

486/27 = 27x/27

18=x

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