Question

1. given the graph below, find mn. round to the nearest hundredth.

m(-1,2) n(4,0)
mn =

Explanation:

Step1: Identify coordinates

M is (-1, 2), N is (4, 0). So \( x_1 = -1, y_1 = 2, x_2 = 4, y_2 = 0 \).

Step2: Apply distance formula

Distance formula: \( d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \).
Substitute values: \( d = \sqrt{(4 - (-1))^2 + (0 - 2)^2} \).

Step3: Calculate differences

\( 4 - (-1) = 5 \), \( 0 - 2 = -2 \).

Step4: Square differences

\( 5^2 = 25 \), \( (-2)^2 = 4 \).

Step5: Sum and square root

Sum: \( 25 + 4 = 29 \). Square root: \( \sqrt{29} \approx 5.39 \).

Answer:

\( 5.39 \)