Mathematics

Question

If PR = 4x – 2 and RS = 3x – 5, which expression represents PS?

1 Answer

  • Answer:

    [tex]7x-7[/tex]

    Step-by-step explanation:

    We have been given that [tex]PR=4x-2[/tex] and [tex]RS=3x-5[/tex]. We are asked to find the expression that represents length of PS.

    We know that [tex]PS=PR+RS[/tex].

    Upon substituting our given values in above equation, we will get:

    [tex]PS=4x-2+(3x-5)[/tex]

    [tex]PS=4x-2+3x-5[/tex]

    [tex]PS=4x+3x-2-5[/tex]

    [tex]PS=7x-7[/tex]

    Therefore, the expression [tex]7x-7[/tex] represents length of PS.

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