What does it mean to write a simplified math expression

Asked by admin @ 28/10/2021 in Mathematics viewed by 327 People

Write a simplified expression for the length of line AC.

Write a simplified expression for the length of line QR.
AC=
QR=

Answered by admin @ 28/10/2021

The simplified expressions for the length of the line segment are :

AC = 8x - 1
QR = 5y + 20

The line segment AC equals:

AC = AB + BC ;

AB = x+2 ; BC = 7x-3

AC = x + 2 + 7x - 3

AC = 8x - 1

Line segment PR

PR = PQ + QR - - (1)

PR = 13y + 25 ; PQ = 8y + 5

From (1)

QR = PR - PQ

Hence,

QR = 13y + 25 - (8y + 5)

QR = 13y + 25 - 8y - 5

QR = 5y + 20

Therefore, the line segments are :

AC = 8x - 1
QR = 5y + 20

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