MATH SOLVE

5 months ago

Q:
# 15 POINTS,ANSWER QUICKLY Think about all of the ways in which a line and a parabola can intersect. Select all of the number of ways in which a line and a parabola can intersect.

Accepted Solution

A:

Answer:3 ways

Explanation:We know that a parabola has a second degree equation), while a line has a first degree equation.

To get the points of intersection, we will need to solve both simultaneously.Solving them, we can reach a maximum of two solutions, however, other scenarios are also possible.

Possible scenarios:1- no intersection occurs as shown in the first attachment2- one intersection occurs as shown in the second attachment3- two intersections occur as shown in the third attachment

Based on the above, there are three ways where the line and parabola can intersect

Hope this helps :)

Explanation:We know that a parabola has a second degree equation), while a line has a first degree equation.

To get the points of intersection, we will need to solve both simultaneously.Solving them, we can reach a maximum of two solutions, however, other scenarios are also possible.

Possible scenarios:1- no intersection occurs as shown in the first attachment2- one intersection occurs as shown in the second attachment3- two intersections occur as shown in the third attachment

Based on the above, there are three ways where the line and parabola can intersect

Hope this helps :)