Provide an appropriate response.
Sam measures a 30 degree angle between a flagpole and a tree. If Sam measured 20 m between himself and the tree and there is a 90 degree angle from the tree to the flagpole and Sam, how far away is the tree from the flagpole?
A. 10 m
B. 17.3 m
C. 11.5 m
D. 20 m
Answer: A
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Find the focus and the directrix of the parabola.y = -2x2 - 16x - 29
A. (-4, -5); x = -11
B. ; y =
C. ; y =
D. (-4, 1); x = 5
Add or subtract as indicated. You will need to simplify terms to identify like radicals. -
A. 12
B. -6
C. -30
D. -6
Describe the transformations required to obtain the graph of the function f(x) from the graph of the function g(x).f(x) = sin
; g(x) = sin x
A. Horizontal stretch by a factor of , vertical stretch by a factor of 2
B. Horizontal shrink by a factor of , vertical shrink by a factor of
C. Horizontal stretch by a factor of , vertical shrink by a factor of
D. Horizontal stretch by a factor of 2, vertical shrink by a factor of
Determine the slope and y-intercept of the function.f(x) = 7x + 5
A. m = -7; b = 5 B. m = 7; b = -5 C. m = -7; b = -5 D. m = 7; b = 5