Question

When 10 b = 5 (StartRoot c EndRoot + 2) is solved for c, one equation is c = (2b minus 2) squared Which of the following is an equivalent equation to find c? c = 10 b minus 10 minus 5 c = (10 b minus 10 minus 5) squared c = StartFraction (10 b minus 2) squared Over 25 EndFraction c = StartFraction (10b minus 10) squared Over 25 EndFraction

Answer 1

Answer:

Option D.

Step-by-step explanation:

The given equation is

$10b=5(\sqrt{c}+2)$

We need to find an equation which is equivalent to the given equation.

Using distributive property, we get

$10b=5(\sqrt{c})+5(2)$

$10b=5\sqrt{c}+10$

Subtract both sides by 10.

$10b-10=5\sqrt{c}$

Divide both sides by 5.

$\dfrac{10b-10}{5}=\sqrt{c}$

Taking square on both sides.

$\left(\dfrac{10b-10}{5}\right)=(\sqrt{c})^2$

$\dfrac{(10b-10)^2}{25}=c$

$c=\dfrac{(10b-10)^2}{25}$

This equation is equivalent to the given equation.

Therefore, the correct option is D.

Answer 2

Answer:

d on edgenuity

Step-by-step explanation: