a parabolic lamp is facing due east. The bulb (located at the focus) is 8 inches away from the vertex (located at the origin). t
1 answer:
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Answer:
3 1/8 inches
Step-by-step explanation:
For focus-vertex distance p, the equation of the parabola can be written ...
y = x^2/(4p)
Here, we have p=8. We want to find the value of y when x=10 (the radius of the dish). That is ...
y = (10^2)/(4·8) = 100/32 = 3 1/8
The dish is 3 1/8 inches deep.
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Answer:
Step-by-step explanation:
We are given two points, the y - intercept and the x - intercept.
The y - intercept being: ( 0, -7 )
The x - intercept being: ( 1, 0 )
The equation of a line in slope - intercept form is:
y = mx + b, where m is the slope and b is the y - intercept.
We already have the y - intercept. So far we have:
y = mx - 7
What we're missing is the slope.
To find the slope, we can use this formula:
, where
and
are the x - coordinates of both points and
and
are the y - coordinates of both points.
We now have the missing piece, the slope, so the equation now is:
