A segment, ray, line, or plane that is perpendicular to a segment at its midpoint is called a perpendicular bisector. Converse of the Perpendicular. Bisector Theorem. If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.
I'm not sure what you're supposed to round to, but since this is money, I would suggest including the dollar sign in front of the answers and including round to the hundredth's decimal place. Otherwise, you're answers are correct.
Answer:
The equation for new function is 
Step-by-step explanation:
We have been given the absolute value parent function f(x) = |x| and this function is vertically compressed by a factor 3.
If we multiply the function with a constant (say a) then the parent function will get stretch/compressed vertically.
We have below conditions for vertical stretch and compression.
a > 1 => vertically stretch
0 < a < 1 => vertically compression
Hence, in order to vertical compression by a factor 3, we have to multiply the whole function by 1/3
Therefore, the equation for new function is
43 × 15 = 645.
First, set up the long multiplication.
Second, calculate 3 × 5, which is 15. Since 15 is two-digit, carry the first digit 1 to the next column.
Third, calculate 4 × 5 which is 20. Since 21 is two-digit, carry the first digit 2 to the next column.
Fourth, bring down the carry digit of 2.
Fifth, calculate 3 × 1, which is 3.
Sixth, calculate 4 × 1, which is 4.
Seventh, calculate 215 + 430, which is 645.
Eighth, therefore, 43 × 15 = 645.
Or.. an easier way is to use a calculator. They always come in handy when doing multiplication.
