Given:
A height of 2 feet above the ground and angle of elevation of 86 degrees.
Assuming that the form of our problem is a right triangle, we can solve for the remaining angle:
180 - (90+86) = 4 degrees
The distance from the home plate to the centerfield is
2/sin 4 = x / sin 86
solve for x
x = 28.60 feet
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She will have negative eight dollars. Thats all I can say
Answer:
D
Step-by-step explanation:
i think
Answer:
- vertical scaling by a factor of -4
- horizontal translation 5 units left
- vertical translation 11 units up
Step-by-step explanation:
We notice that the multiplier of the squared term in f(x) is 0.5; in g(x), it is -2, so is a factor of -4 times that in f(x).
If we scale f(x) by a factor of -4, we get ...
-4f(x) = -2(x -2)² -12
In order for the squared quantity to be x+3, we have to add 5 to the value that is squared in f(x). That is, x -2 must become x +3. We have to replace x with (x+5) to do that, so ...
(x+5) -2 = x +3
The replacement of x with x+5 amounts to a translation of 5 units to the left.
We note that the added constant after our scaling changes from +3 to -12. Instead, we want it to be -1, so we must add 11 to the scaled function. That translates it upward by 11 units.
The attached graph shows the scaled and translated function g(x):
g(x) = -4f(x +5) +11
Step-by-step explanation:
f(x) = 5x - 8
g(x) = 9 - 6x²
= (fog)(-3)
= f( g(3) )
= 5x - 8
= 5(9 - 6x²) - 8
= 5(9 - 6(-3)² ) - 8
= 5(9 - 54) - 8
= 5(-45) - 8
= -225 - 8
= -233
(fog)(-3) = -233