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Answer:
4 cm
Step-by-step explanation:
The equation of a parabola with its vertex at the origin can be written as ...
y = 1/(4p)x^2
The problem statement tells us that one point on the parabola is (x, y) = (12, 9). We can put these values into the equation and solve for p, the distance from the focus to the vertex.
9 = 1/(4p)(12^2)
9×4/144 = 1/p = 1/4 . . . . . . . . multiply by the inverse of the coefficient of 1/p
Then p = 4, and the bulb is 4 cm from the vertex.
<h3>Geometric mean of 5 and 7 is 5.9161</h3>
<em><u>Solution:</u></em>
Given that,
We have to find the geometric mean of 5 and 7
The geometric mean of two numbers a and b is the square root of product of a and b
Which means,
Thus geometric mean of 5 and 7 is 5.9161