If A is the midpoint of line segment PR, PA = 7x - 11, and PR = 8x +14, then what is the value of line segment AR?

Given that:

A is the midpoint of line segment PR.

PA = 7x - 11 and PR = 8x +14.

Solution:

Since A is the midpoint of line segment PR.

Using segment addition property, we get

Isolate variable terms.

Divide both sides by 6.

The value of x is 6.

Now,

Therefore, the value of line segment AR is 31 units.

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.

i’m here for points.