CPM Homework Help : INT3 Problem 7-112

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Home > INT3 > Chapter 7 > Lesson 7.2.5 > Problem 7-112

7-112.

Solve each of the following equations for the indicated variable.

$5x – 3y = 12$ for $y$
Hint (a):
Isolate $y$ on one side of the equation.
You can leave coefficients in fraction form.

$F=\frac{Gm_1m_2}{r^2}$ for $m_{2}$
Answer (b):
$m_{2} = \frac{Fr^2}{Gm_1}$

$E=\frac{1}{2}mv^2$ for $v$
Hint (c):
Start by multiplying by $2$ and dividing by $m$ .

$\left(x – 4\right)^{2} + \left(y – 1\right)^{2} = 10$ for $y$
Step 1(d):
$(y-1)^2=10-(x-4)^2$
Step 2(d):
$y-1=\pm\sqrt{10-(x-4)^2}$
Step 3(d):
$y=\pm\sqrt{10-(x-4)^2}+1$

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