Question

question 4 of 25
what is the distance between the two endpoints in the graph below? if necessary, round your answer to two decimal places.
(3, 5)
(−6, −6)
a. 14.21 units
b. 10 units
c. 13.46 units
d. 11 units

Explanation:

Step1: Recall Distance Formula

The distance \( d \) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is \( d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \).
Here, \((x_1, y_1) = (-6, -6)\) and \((x_2, y_2) = (3, 5)\).

Step2: Substitute Values

Calculate \( x_2 - x_1 = 3 - (-6) = 9 \) and \( y_2 - y_1 = 5 - (-6) = 11 \).

Step3: Apply Formula

\( d = \sqrt{9^2 + 11^2} = \sqrt{81 + 121} = \sqrt{202} \approx 14.21 \).

Answer:

A. 14.21 units