Answer:
24 foot
Step-by-step explanation:
We are given that
Length of ladder=26 foot
Height of building=10 foot
We have to find the distance between the bottom of ladder and the bottom of building.
Pythagorus theorem:
We have hypotenuse =AC=26 foot
Perpendicular side =AB=10 foot
Base=BC
Substitute the values in the given formula
(Take positive because length is always positive)
BC=24 foot
Hence, the bottom of the ladder will be 24 foot from the bottom of the building.
Answer:
Step-by-step explanation:
Since G(0) = g(0) = 20, the parabolic graphs of these functions share a y-intercept: (0, 20).
Completing the square puts these equations into vertex form, which simplifies comparisons of the graphs:
G(x) = 2x^2 - 12x + 20 becomes
2(x^2 - 6x + 9 - 9) + 20, or
2(x - 3)^2 - 18 + 20, or 2(x - 3)^2 + 2. Comparing this result to
a(x - h)^2 + k, we see that the vertex is located at (3, 2).
Going through the same process for g(x) 2x^2+12x+20, we get:
g(x) = 2(x + 3)^2 + 2, whose vertex is at (-3, 2).
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