What is the length of the segment, endpoints of which are intersections of parabolas y=x^2− 11/4 x− 7/4 and y=− 7/8 x^2+x+ 31/8 ?

The length of line segment is 5

Step-by-step explanation:

we are given equation of parabolas as

Firstly, we will find intersection points

we can set them equal

and then we can solve for x

Multiply all sides by 8

now, we can factor it

now, we can find y-values

At x=-1:

y=2

so, we get point as

(-1,2)

At x=3:

y=-1

so, we get point as

(3,-1)

now, we can find distance between these two points

(-1,2)

x1=-1 , y1=2

(3,-1)

x2=3 , y2=-1

now, we can find distance

now, we can plug values

So,

The length of line segment is 5

step-by-step explanation:

im not sure what the answer is