Hello!
To solve this, first write two equations. We are given two facts about the situation, so we can write the equations accordingly.
Say the length of the rectangle is l, and the width is w.
<u>The length of a rectangle is 9 inches more than twice its width:</u> 2w + 9 = l, as you're adding 9 to two times the width.
<u>The perimeter of the rectangle is 48 inches:</u> The equation for perimeter is 2l + 2w, so we can just use that in this case to make the equation - 2l + 2w = 48
Now, set up the system of equations.

Now, we can already use substitution to solve. We get from one of the equations that l = 2w + 9, so we can substitute 2w + 9 for l in the other equation, and then solve for w.
2l + 2w = 48
2 (2w + 9) + 2w = 48
4w + 18 + 2w = 48
6w = 30
w = 5
We know one of our variables now. Now, all that's left to do is substitute 5 for w in one of the original equations to solve for l.
2w + 9 = l
2 (5) + 9 = l
10 + 9 = l
19 = l
Therefore, we now have our dimensions. The length of the rectangle is 19 inches, and the width is 5.
Hope this helps!
The first option is correct.
Moving 1.5 units to the left (or -1.5 units to the right).
Moving 1 unit down (or -1 unit up).
Therefore you get the result of (-1.5, 1) as is the location of the rink.
Explanation
Given a function f(x) we translate the function:
• a units horizontally (a > 0 to the right, a < 0 to the left),
,
• b units vertically (b > 0 up, b < 0 down),
by the transformation:

In this case, we have:

Comparing f(x) and g(x) with the general transformation above, we see that the graph of g(x) is the graph of f(x) translated:
• a = 2 units to the right,
,
• b = 4 units up.
Translating the graph of f(x), we get:
Answer
The translated graph is the graph in red:
STEP-BY-STEP SOLUTION:
To solve this equation, first make ( h ) the subject and then simplify as much as possible as displayed below:
2 ( h - 8 ) - h = h - 16
2h - 16 - h = h - 16
2h - h - h = - 16 + 15
h = 0
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Thank you <3