Answer:
B'(16,14)
Step-by-step explanation:
First find the coordinates of the vertex B. The center of the square M is the midpoint of the diagonal AC. Since A(2,7) and C(8,1), the center has coordinates

Point M is also the midpoint of the diagonal BD. Let B has coordinates (x,y), then

Hence, B(8,7).
Now, the dilation by a scale factor 2 with the center of dilation at the origin has the rule
(x,y)→(2x,2y).
Thus,
B(8,7)→B'(16,14).
So to find the answer of the area, you have to multiply 7 and 8 which would equal to 56.
Rather than try to select the correct answer without doing work, I'd rather do the work first and the matching later.
Given y = 4 - x, or y = 4 - 1x,
1) the y-intercept is (0,4).
2) this being a linear function, it has neither maximum nor minimum.
3) the x-intercept is found by letting y = 0 and solving for x: 0 = 4 - x; x - 4. The x-intercept is (4,0).
Which of the given statements is true?
The correct answer is B = -1
10(1 + 3B) = -20
10 + 30B = -20
-20 - 10 = -30
30B = -30
B = -1
Hope this helps :)
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