Help please hard math
1 answer:
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Answer:
The height of the pole is 105ft,
Step-by-step explanation:
Let us call the height of the pole, then we know that the distance from the bottom of the pole to the anchor point is 49, or it is
.
The wire length is 14 ft longer than height
, hence
.
Thus we get a right triangle with hypotenuse , perpendicular
, and base
; therefore, the Pythagorean theorem gives
which upon expanding we get:
further simplification gives
,
which is a quadratic equation with solutions
Since the first solution will give the triangle base length of
which is negative; therefore, we disregard it and pick the solution
.
Hence, the height of the pole is 105ft.
Answer:
A. Translate 1 to the right, reflect over the x-axis, then scale vertically by a factor of 1
Step-by-step explanation:
Initially:
We have the function
k(x + 1)
To translate a function k(x) a units to the left, we find k(x + a).
Thus, k(x+1) is the translation of k(x) 1 unit to the left.
-k(x+1)
Multiplying a function by a negative constant is the same as reflecting it over the x-axis, and then scaling it vertically by a factor of the constant.
Thus:
The answer is given by option A:
A. Translate 1 to the right, reflect over the x-axis, then scale vertically by a factor of 1