The table below shows Oliver's earnings on the job.
1 answer:
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Answer:
Step-by-step explanation:
Given:
- P = (1, 5)
- Q = (-2, 3)
- R = (a, b)
- R lies on line x = 3
- PR = QR
If point R lies on the line x = 3, then the x-value of point R is 3.
⇒ a = 3
<u />
<u>Distance between two points</u>
(where (x₁, y₁) and (x₂, y₂) are the two points)
Use the <u>distance formula</u> to derive equations for PR and QR.
Let (x₁, y₁) = P = (1, 5)
Let (x₂, y₂) = R = (3, b)
Let (x₁, y₁) = Q = (-2, 3)
Let (x₂, y₂) = R = (3, b)
As PR = QR, equate the derived equations and solve for b:
Substitute the found values of a and b to find the coordinates of R:
Learn more about the distance formula here: