Answer: 147, 76 and 56.5
Step-by-step explanation:
11, and 12
Both of these questions require that you find the sum of both angles, and you know this because an angle written down starts with an outside point, a middle point then another outside point. So n, the left side, p the middle, and q, the outside. You add everything in between, the 78 and 68, and you get 147.
13
13 is different because a straight line is equal to 180 degrees, we know this because a full circle is 360 degrees and you split in in half with a straight line going through the center and you get 180 degrees on each side, so with this one you just take 180 - 23.5, and you get 56.5!
As you can see in the image, point C must be (-2, -2), because it is the only point that will create a right triangle that is in the third quadrant.
To find the distance between point A and point C, just subtract the y-values.
Answer:
1) 2(t - 7)(t + 1)
2) $32,000
Step-by-step explanation:
v(t) = 2t² - 12t - 14
v(t) = 2(t² - 6t - 7) = 2(t - 7)(t + 1)
x = -b/2a = 6/2 = 3
y = 2(3)² - 12(3) - 14 = -32
(3, -32) means at 3 months, -32 thousand dollars