13. Pick a point and see which formula works.
Ay = -4, A'y = 7. Only the formula of selection D makes that translation.
14. Use the compound interest formula A = P*(1 +r/n)^(nt).
..1500*1.015^80 = 4935.99, matching selection C
15. The lid has a perimeter of 90", so the area of the sides is
.. 90" * 24" = 2160 in^2
The area of the lid is
.. 30" * 15" = 450 in^2
The gray area is (2160 -450) in^2 = 1710 in^2 larger, corresponding to selection C.
16. The only formula that maps (7, -1) to (21, -3) is that of selection D.
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The middle two problems are the only ones that require you to have prior knowledge. The others could be answered simply by seeing if the answers work.
Perimeter of a rectangle is given by (2 × Length(l)) + (2 × Width(w)) = 2l + 2w
l= 11 feet
2(11) + 2w = 46
2w = 46 - 22 = 24
w = 24/2 = 12 feet
Width = 12 feet.
and you know what that is.
Switch 2 units to 5 units.
Explanation:
If Figure G was a reflection over the x-axis (which it is), then the bottom right angle would be at 4 on the y axis. In order for it to get to -1, you would need to move Figure G down 5 units. I hope this helps!
The upside down U means the numbers the sets have in common.
Do what is in parenthesis first:
(B ∩ C) = 6 is the only common number in set B and Set C.
A ∩ (B ∩ C) = Would be all the numbers in A plus the number 6 from (B ∩ C).
The answer would be A) {1, 3, 5, 6, 7, 9}
