Question

4 matching 25 points
match the equivalent equations. the equations in the second column are solved for y in terms of x.
$x = 3y$
$x = 2 - y$
$2(y - 5) = x$
$x = (1/3)y + 9$
$y = 2 - x$
$y = (1/3)x$
$y = 3x$
$y = 3x - 27$
$y = x - 2$
$y = (1/2)(x + 5)$
$y = 3x + 9$
$y = (1/2)x + 5$
5 fill in the blanks 25 points
consider th $(x) = x^2 - 10x + 12$. fill in the blanks to rewrite the function into vertex form, $y = (x - h)^2 + k$, by completing

Explanation:

Step1: Solve $x=3y$ for $y$

Divide both sides by 3: $y=\frac{1}{3}x$

Step2: Solve $x=2-y$ for $y$

Rearrange terms: $y=2-x$

Step3: Solve $2(y-5)=x$ for $y$

Divide by 2, then add 5: $y=\frac{1}{2}x + 5$

Step4: Solve $x=\frac{1}{3}y+9$ for $y$

Subtract 9, multiply by 3: $y=3x-27$

Answer:

• $x=3y$ matches $y=(1/3)x$
• $x=2-y$ matches $y=2-x$
• $2(y-5)=x$ matches $y=(1/2)x + 5$
• $x=(1/3)y+9$ matches $y=3x-27$