Question

Find the distance between point Y (9,11) and point Z (-3,-6) to the nearest hundredth.

A) 20.22 units
B) 15.33 units
C) 18.44 units
D) 16.03 units

Answer 1

The distance between point Y (9,11) and point Z (-3,-6) is approximately 20.81 units, which is not an option provided in the question.

Step-by-step explanation:

To find the distance between point Y (9,11) and point Z (-3,-6), you can use the distance formula, which is derived from the Pythagorean Theorem:

Distance = √((x2 - x1)² + (y2 - y1)²)

Substituting the given points into the formula gives us:

Distance = √((-3 - 9)² + (-6 - 11)²) = √((12)² + (17)²) = √(144 + 289) = √(433)

Calculating the square root of 433 to the nearest hundredth gives us approximately 20.81. Therefore, none of the options A) 20.22 units, B) 15.33 units, C) 18.44 units, or D) 16.03 units are correct.