Answer:
A.) The coordinates of M' are (-2/4, -4/5)
The coordinates of N' are (1/5, 1)
B.) The scale factor of the dialation is 3
The number at the end of the equation shifts the graph up or down.
Changing the 1/2 to a -2 would shift the graph down which would change the y-intercept.
The answer is D.
Length (L): w + 3 ⇒2(w + 3)
width (w): w ⇒ w - 1
Area (A) = L x w
A = (w + 3)(w)
A = w² + 3w
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A + 176 = 2(w + 3)(w - 1)
(w² + 3w) + 176 = 2(w + 3)(w - 1)
w² + 3w + 176 = 2w² + 4w - 6
3w + 176 = w² + 4w - 6
176 = w² + w - 6
0 = w² + w - 182
0 = (w - 13) (w + 14)
0 = w - 13 0 = w + 14
w = 13 w = -14
Since width cannot be negative, disregard -14
w = 13
Length (L): w + 3 = (13) + 3 = 16
Answer: width = 13 in, length = 16 in
If it is 5 lawns then an easy way you could do it is dividing 28 and 2, to get 14, then multiply 5 by 14. Or you could set up a proportion which would be 2/28=5/x and solve for x by cross multiplying. The answer you should get out of this is 70 minutes. Or and hour and 10 minutes.
