Question

PQ has a length of 17 units with P(-4,7). If the x- and y-coordinates of Q are both greater than the x- and y-coordinates of P, what are possible integer value coordinates of
Q? Explain
Let PQ be the hypotenuse of a right triangle that also has a horizontal leg and a vertical leg. The hypotenuse then has length 17, and a Pythagorean triple can be used to say the shorter leg has length___ and the longer leg has length____If the shorter leg is horizontal, then Q is described by the ordered pair___If the shorter leg is vertical,
then Q is described by the ordered pair____ FILL IN THE BLANK PLS

Answer 1

The complete paragraph on Pythagorean theorem is shown below:

Let PQ be the hypotenuse of a right triangle that also has a horizontal leg and a vertical leg. The hypotenuse then has length 17, adn a Pythagorean triple can be used to say the shorter leg has length 4 and the longer leg has length 22. If the shorter leg is horizontal, then Q is described by the ordered pair (x, y) = (4, 22). If the shorter leg is vertical is vertical, then Q is described by no ordered pairs.

What are the coordinates of the missing end of a line segment?

Given the coordinates of the two end we can determine the length of a line segment by using the Pythagorean theorem in the following form and considering that the coordinates of point Q are integers greater than their counterparts of point P:

17 = √[[x - (-4)]² + (y - 7)²]

[x - (-4)]² + (y - 7)² = 289

(x + 4)² + (y - 7)² = 289

Then, we proceed to graph the circle and we find that the point satisfying the conditions indicated are (x, y) = (4, 22).

To learn more on Pythagorean theorem: brainly.com/question/14930619

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