Answer:
5False
6 true
7 true
Step-by-step explanation:
5 Complementary angles add to 90 degrees not 180 degrees
6 40+50 = 90 so they are complementary
7 Supplementary angles add to 180
145+x = 180
Subtract 145 from each side
145-145 +x = 180-145
x = 35
14n+ 4 = 2( 7n + 2 ) ; the factors are 2 and ( 7n + 2 ) ;
Answer:
The area of a triangle is equal to its base times its height divided by 2: \begin{align*}A=\frac{bh}{2}\end{align*}. In order to find the composite area of two or more shapes, simply find the area of each shape and add them together.
Step-by-step explanation:
Answer:
A bird drops a stick to the ground from a height of 80 feet. The equation 0=−16x2+64x+80 gives the number of seconds that have passed when it hits the ground. After about how many seconds did the stick hit the ground?
Step-by-step explanation:
h = -16t^2 + 80 Stick hits the ground when h = 0:
0 = -16t^2 + 80
16t^2 = 80
t^2 = 80/16 = 5
t = POSITIVE root 5 (due to the real world nature of the problem)
t approximately 2.236 seconds.
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Graph is a downward opening parabola with h-intercept of 80, t-intercept(s) of sqrt(5), - sqrt(5)
Symmetric about h-axis, though I would only graph on the right side of the h-axis since
that is where t >= 0.
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