What is the distance between a given point on a parabola and the parabola's directrix if the distance between the same given point and the parabola's focus is 8 units?

a. 16 units
b. 8 units
c. 4 units
d. 1 unit

B. 8 units

Step-by-step explanation:

We have been given that the distance between the given point and the parabola's focus is 8 units. We are asked to find the distance between the given point on a parabola and the parabola's directrix.

By definition a parabola is set of all points in a plane which are an equal distance away from a given point (focus) and given line (directrix).

Since our given point is 8 units away from focus, so the point will be 8 units away from directrix, therefore, option B is the correct choice.

true

step-by-step explanation:

the answer is b: 18

step-by-step explanation:

use the pythagorean theorem to .

a^2+b^2=c^2

plug 18 for "r"

the 2 legs are 18 and 24

18^2+24^2=c^2

324+576=c^2

900=c^2

c=30

30-12=18

18 is the radius

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