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mylen [45]
3 years ago
8

I dont understand please help Which expression is equivalent to 8-(6r+2) A -6r+6 B 2r+2 C 6r+10 D -6r+10

Mathematics
1 answer:
Goryan [66]3 years ago
8 0

Answer:

-6r+6

Step-by-step explanation:

Given data

We are given the expression

8-(6r+2)

let us expand it by opening the bracket

=8-6r-2

collect like terms

=8-2-6r

=6-6r

rearrange

=-6r+6

Hence option A is correct

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Answer:

The top of the ladder is now at 10 ft.

Step-by-step explanation:

At the start, we have a height H=6, a length L=10 and a base B, that has to be calculated by the Pythagorean theorem:

B^2=L^2-H^2=10^2-6^2=100-36=64\\\\B=\sqrt{64}=8

The base is moved twice the distance the height moves up.

We called this distance x, so we have:

L^2=(H+x)^2+(B-2x)^2=H^2+2Hx+x^2+B^2-4Bx+4x^2\\\\L^2=(H^2+B^2)+5x^2+(2H-4B)x\\\\L^2=L^2+5x^2+(2H-4B)x\\\\0=5x^2+(2H-4B)x\\\\5x+(2H-4B)=0\\\\x=\dfrac{4B-2H}{5}=\dfrac{4*8-2*6}{5}=\dfrac{32-12}{5}=\dfrac{20}{5}=4

The new height (H+x) is

H'=H+x=6+4=10

The base travels 2x=8, so the new base B' is 0.

This means that the ladder is all against the wall (L=H').

6 0
3 years ago
What is the formula for distance?
ahrayia [7]

Formula:

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7 0
3 years ago
Use 2,3,4,5,8 to equal 104
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4 0
3 years ago
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All of the following expressions have the same value except
MrMuchimi

Answer:

1 - 4/5-(-1/5)

Step-by-step explanation:

1. - 4/5-(-1/5)

= -0.8+0.2 (if there is a minus sign inside and outside of the parenthesis, when we destroy that parenthesis, both the minus signs will be multiplied and becomes a (+).) (Making it to the percentile).

= -0.6

2. - 4/5-1/5

= -0.8-0.2

= -1

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= -(0.8+ 0.2) (Making those to the percentile).

= -(1) = -1 (When we destroy the parenthesis, if there is a minus sign outside the parenthesis, the result will become a minus.)

From the above expressions, we can see that after calculating, the second and third expressions have the same value, i. e. -1. However, the result of the first expression is different, and we get -0.6. So option one is the right choice.

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