If `f(x) = x - 6` and `g(x) = x^(1/2)(x + 3)`, find `g(x) xx f(x)`.
1 answer:
Answer : option B
Given
f(x) = x - 6
g(x)= √x (x + 3)
We need to find g(x) * f(x)
( x - 6) * (x + 3) √x
we use FOIL method to multiply (x-6)(x+3)
( ) * sqrt(x)
Now apply exponential property to multiply each terms with sqrt(x)
times sqrt(x) becomes \[sqrt(x^5)\]
-3x times sqrt(x) becomes \[-3sqrt(x^3)\]
-18 times sqrt(x) becomes -18sqrt(x)
So final answer is B
\[sqrt(x^5)\] - \[3sqrt(x^3)\] -18sqrt(x)
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Answer:
<em>The height of the bullding is 717 ft</em>
Step-by-step explanation:
<u>Right Triangles</u>
The trigonometric ratios (sine, cosine, tangent, etc.) are defined as relations between the triangle's side lengths.
The tangent ratio for an internal angle A is:
The image below shows the situation where Ms. M wanted to estimate the height of the Republic Plaza building in downtown Denver.
The angle A is given by his phone's app as A= 82° and the distance from her location and the building is 100 ft. The angle formed by the building and the ground is 90°, thus the tangent ratio must be satisfied. The distance h is the opposite leg to angle A and 100 ft is the adjacent leg, thus:
Solving for h:
Computing:
h = 711.5 ft
We must add the height of Ms, M's eyes. The height of the building is
711.5 ft + 5 ft = 716.5 ft
The height of the building is 717 ft
