Question

Point Pis on line segment OQ.Given OQ = 4s – 10, OP = 23, and PQ = I,determine the numerical length of OP.

Answer 1

P

OQ = 4S - 10

OP = 23

PQ = 1

Equation

OQ = OP + PQ

Substitution

4S - 10 = 23 - 1

Simplification

4S = 22 + 10

4S = 32

S = 32/4

S = 8

Determine OP

OQ = 4(8) - 10

OQ = 32 - 10

OQ = 22