A street in San Francisco rises 20 feet for every 100 feet horizontally. What is the measure of the angle of elevation,
1 answer:
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The side lengths of the pool 10 ft and 45 ft.
<u>SOLUTION: </u>
Given, a rectangle swimming pool is 8 feet deep.
One side of the pool is 4.5 times longer than the other.
Let the length of pool be n feet, the width will be 4.5n feet
The amount of water needed for the swimming pool is 3600 cubic ft
We have to find the dimensions of the pool. Now, we know that,
On taking square root on both sides we get,
So, the width will be
Answer:
A) y = 3(x -3)^2 -46
B) (3, -46)
C) look at the y-coordinate of the vertex
Step-by-step explanation:
A) Factor the leading coefficient from the variable terms.
y = 3(x^2 -6x) -19
Inside parentheses, add the square of half the x-coefficient. Outside, subtract the same value.
y = 3(x^2 -6x +9) -19 -3(9)
y = 3(x -3)^2 -46
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B) Compared to the vertex form, ...
y = a(x -h)^2 +k
we find a=3, (h, k) = (3, -46).
The vertex is (3, -46).
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C) The vertex is an extreme value (as is any vertex). The sign of the leading coefficient tells you whether the parabola opens upward (+) or downward (-). This parabola opens upward, so the vertex is a minimum.
If the leading coefficient is positive, the y-coordinate of the vertex is a minimum. If the leading coefficient is negative, the y-coordinate of the vertex is a maximum.
