Aparabolic microphone used on the sidelines of a professional football game uses a reflective dish 24 in. wide and 6 in. deep. how far from the bottom of the dish should the microphone be placed

The answer is a 6 inches away

Answer : 6 in

A parabolic microphone used on the sidelines of a professional football game uses a reflective dish 24 in. wide and 6 in. deep

Parabolic microphone is in the form of vertical parabola

Vertex at the origin so vertex is (0,0)

24 inch wide so its 12 inches  on the right and 12 inches on the left

So coordinate on parabola are (6,12)  and (6,-12)

for vertical parabola we use equation y^2 = 4ax

WE use any one of the point and find out 'a'

Lets plug in (6,12)

144= 24a

Divide both sides by 24

a= 6

So microphone is 6 inches away

a. turk and mcalister

b. howard, mission, and market

c. yes. since streets end some do not cross yet are not parallel to others. example: mcalister and 5th

step-by-step explanation:

parallel lines are lines which do not intersect ever and look a lot like railroad tracks. turk, mcalister and golden gate are examples of these.

intersect are streets which cross each other and a car on one can reach the other. howard, mission, and market intersect with 6th.

skew lines are lines which neither intersect nor are parallel. these lines exist here because some streets end and never intersect another like mcalister and 5th.