Question

Use the distance formula to find the length of segment JK with endpoints (-9, 2) and K(5, -4). Round to the nearest hundredth.

a) 16.29
b) 9.83
c) 12.87
d) 15.23"

Answer 1

Using the distance formula, the length of segment JK with endpoints J(-9, 2) and K(5, -4) is found to be approximately 15.23 units when rounded to the nearest hundredth.

Step-by-step explanation:

The question asks for the length of segment JK with endpoints J(-9, 2) and K(5, -4) using the distance formula. The distance formula in a two-dimensional plane is √((x2-x1)² + (y2-y1)²), where (x1, y1) and (x2, y2) are the coordinates of two points. Applying this formula:

Distance of JK = √((5 - (-9))² + (-4 - 2)²)
= √((5 + 9)² + (-6)²)
= √(196 + 36)
= √232
= 15.23 (rounded to the nearest hundredth).

Therefore, the length of segment JK is approximately 15.23 units.