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Andre45 [30]
2 years ago
14

The graph shows the location of point P and point R. Point R is on the y-axis and has the same y-coordinate as point P. Point Q

is graphed at (n,-2). The distance from point P to point Q is equal to the distance from point P to point R. What is the from point P to point Q? What is the value of N? Explain how you determined the distance from point P to point Q, and the value of N.

Mathematics
1 answer:
Mumz [18]2 years ago
8 0

Answer:

n = 5

Step-by-step explanation:

Coordinate of P = (n,3)

R is on y-axis & the y-coordinate of P & R are equal. So coordinate of R = (3,0)

Coordinate of Q = (n,-2)

Using distance formula,

Distance between P & Q =

\sqrt{ {( n  -  n}) ^{2} +  {( 3-  ( - 2)  })^{2}   }

=  >  \sqrt{ {(3 + 2)}^{2} }  =  \sqrt{ {5}^{2} }  = 5

Distance between P & R =

\sqrt{ {(n - 0)}^{2} +  {(3 - 3)}^{2}  }

=  >  \sqrt{ {n}^{2} }  = n

But in question it is given that distance between P & Q is equal to the distance between P & R. So,

n = 5

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