LenoxxE348407 LenoxxE348407
  • 03-11-2022
  • Mathematics
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A triangle has vertices on a coordinate grid at P(4, -9), Q(-1, -9), and R(4,6).What is the length, in units, of PQ?

A triangle has vertices on a coordinate grid at P4 9 Q1 9 and R46What is the length in units of PQ class=

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QuamirP83432 QuamirP83432
  • 03-11-2022

Given:

The coordinates of point P, (x1, y1)=(4, -9).

The coordinates of point Q, (x2, y2)=(-1, -9).

The length of PQ can be calculated as,

[tex]\begin{gathered} PQ=\sqrt[]{(x2-x1)^2+(y2-y1)^2} \\ PQ=\sqrt[]{(-1-4)^2+(-9-(-9))^2} \\ PQ=\sqrt[]{(-5)^2+0} \\ PQ=\sqrt[]{5^2} \\ PQ=5 \end{gathered}[/tex]

Therefore, the length PQ

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