Solve for the indicated variable.

Mathematics

1 answer:

tia_tia [17]3 years ago

8 0

Answer:

(A - pi r^2)/ 2 pi r= h

Step-by-step explanation:

A = pi r^2 + 2 pi rh

First subtract pi r^2 from each side

A - pi r^2= pi r^2 + 2 pi rh - pi r^2

A - pi r^2= 2 pi rh

Now divide each side by 2pi r

(A - pi r^2)/ 2 pi r= 2 pi rh / 2pi r

(A - pi r^2)/ 2 pi r= h

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What is the absolute value<br> 3|x+6|-7=20

zzz [600]

<h3>Answer:</h3>

$\large\boxed{x=3\,\,\text{or}\,\,x=-15}$

<h3>Step-by-step explanation:</h3>

In this question, we're solving the equation with the absolute value.

In this case, we would be solving for x.

The equation we are solving is:

$3|x+6|-7=20$

Lets solve:

$3|x+6|-7=20\\\\\text{First, we add 7 to both sides}\\\\3|x+6|=27\\\\\text{We need to get the absolute value by itself, so}\\\text{we would divide both sides by 3}\\\\|x+6|=9\\\\\text{For absolute value, there could be two possiblities}\\\\x+6=9\,\,\text{or}\,\,x+6=-9\\\\\text{We would solve for both}\\\\x+6=9\\\\\text{Subtract 6 from both sides}\\\\x=3\\\\x+6=-9\\\\\text{Subtract both sides by 6}\\\\x=-15\\\\\boxed{x=3\,\,\text{or}\,\,x=-15}$