To find the location of point R that is 5 units away from point Q, you can use the Pythagorean theorem. Since R is 5 units away from Q, we can create a right triangle where the hypotenuse is 5 units (the distance between Q and R) and one leg is the change in x-coordinate and the other leg is the change in y-coordinate.
Let's say the coordinates of point Q are (xQ, yQ). Since R is 5 units away from Q, point R could have coordinates (xR, yR) such that:
(xR - xQ)^2 + (yR - yQ)^2 = 5^2
One possible pair of coordinates for point R is (-2, 4), as:
(-2 - (-2))^2 + (4 - 0)^2 = 0^2 + 4^2 = 4 + 16 = 20, which is not equal to 25 (5^2)
Therefore, none of the ordered pairs provided (-2, 5), (-7, -4), (3, 4), (-2, -8) could represent the location of point R that is 5 units away from point Q.
Nylah graphed point Q on the coordinate grid. She will graph point R at a location 5 units away from point Q. Which ordered pair could represent the location of point R? (1 point) Responses (-2. 5) (-2. 5) (-7, -4) (-7, -4) (3, 4) (3, 4) (-2, -8) (-2, -8) Skip to navigation
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1 answer