Answer:
5. (x, y) ⇒ (-x, y) — see attached for the diagram
6. (x, y) ⇒ (x+3, y+5)
7. dilation
Step-by-step explanation:
5. A point reflected across the y-axis will have the same y-value, but the opposite x-value. The transformation rule is ...
(x, y) ⇒ (-x, y)
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6. A horizontal translation by "h" adds the value "h" to every x-coordinate. A vertical translation by "k" adds the value "k" to every y-coordinate. Then a translation by (h, k) will give rise to the rule ...
(x, y) ⇒ (x+h, y+k)
Your translation right 3 and up 5 will give the rule
(x, y) ⇒ (x+3, y+5)
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7. Any translation, rotation, or reflection is a "rigid" transformation that preserves all lengths and angles. Hence the transformed figure is congruent to the original.
When a figure is dilated, its dimensions change. It is no longer congruent to the original. (If the dilation is the same in x- and y-directions, then the figures are <em>similar</em>, but not congruent.)
Step-by-step explanation:
the answer to your question with roster method is
(-5,-4,-3,-2 and -1)
The equation for the area of a circle is:

. Insert 9 as your radius (r) into the equation and solve:
\pi 9^2 = 254.469
Answer: 
Step-by-step explanation:
The range is the set of output values for the domain (the set of inputs).
- When x=-5, y=
. - When x=0,
. - When x=2,

So, the range is 
Since the distances were the same you can find the average speed directly by adding the speeds then dividing by 2. No need to weight anything.
If we’re considering speed regardless of direction, the average speed is:
(24 + 16) / 2 = 40 / 2 = 20mph
However if direction matters, then one number has to be negative since the directions are opposite:
(24 - 16) / 2 = 8 / 2 = 4mph (in the positive direction)
Depending on the context, either of these could be your answer.