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2 years ago

15

7- Simplify each expression. -8+2(-5)

2 answers:

DIA [1.3K]2 years ago

4 0

To simplify, we use PEMDAS. Since a number near a parentheses means multiplication, and there is no other operations that we need to do first, we do the multiplication first. 2(-5) = 2*(-5) = -10.
Next we add -8 and -10. -8+(-10) is the same as -8-10, which is -18. Hope this helps

postnew [5]2 years ago

3 0

Answer:

-18

Remember PEMDAS.

Step-by-step explanation:

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Solve the compound inequality 6b < 24 or 4b + 12 > 4.

myrzilka [38]

The answer is a. b>-2 because

6b<24
b< 24/6
b<4

And

4b+12>4
4b>4-12
4b>-8
b>-8/4
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2 years ago

A right-angled triangle has shorter side lengths exactly c^2-b^2 and 2bc units respectively, where b and c are positive real num

yKpoI14uk [10]

Answer: hypotenuse = $c^{2} + b^{2}$

Step-by-step explanation: Pythagorean theorem states that square of hypotenuse (h) equals the sum of squares of each side ( $s_{1},s_{2}$ ) of the right triangle, .i.e.:

$h^{2} = s_{1}^{2} + s_{2}^{2}$

In this question:

$s_{1}$ = $c^{2}-b^{2}$

$s_{2} =$ 2bc

Substituing and taking square root to find hypotenuse:

$h=\sqrt{(c^{2}-b^{2})^{2}+(2bc)^{2}}$

Calculating:

$h=\sqrt{c^{4}+b^{4}-2b^{2}c^{2}+(4b^{2}c^{2})}$

$h=\sqrt{c^{4}+b^{4}+2b^{2}c^{2}}$

$c^{4}+b^{4}+2b^{2}c^{2}$ = $(c^{2}+b^{2})^{2}$ , then:

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Hypotenuse for the right-angled triangle is $h=(c^{2}+b^{2})$ units

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3 years ago

A rectangular garden is extended 4% on the long sides and 8% on the short sides. To the nearest hundredth of a percent, by what

liq [111]

Answer: 12.32%

Step-by-step explanation:

1. $x$ is the original long side and $y$ is the original short side.

2. The area of the original rectangle is $xy$ .

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$\frac{104}{100}x=\frac{26}{25}x$

4. And the new short side is:

$\frac{108}{100}y=\frac{27}{25}y$

5. The new area is:

$(\frac{26}{25}x)(\frac{27}{25}y)=\frac{702}{625}xy$

6. The percentage of increase is calculated by substracting the new area and the original area:

$\frac{702}{625}xy-xy=0.1232xy$

7. The result is:

(0.1232)(100)=12.32%

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3 years ago

12(5 x-4.5)=36 what is the value of x

-Dominant- [34]

Answer:

x=

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Step-by-step explanation:

12(5x−4.5)=36

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60x−54+54=36+54

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3 years ago

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Ne4ueva [31]

Answer: 0

Step-by-step explanation:

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2 years ago

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