Question

use the pythagorean theorem to find the distance from emmas house to the library.
a $sqrt{110}$
b $sqrt{130}$

Explanation:

Step1: Assign coordinates to points

Let Emma's House = $(x_1,y_1)=(-4,-6)$, Library = $(x_2,y_2)=(3,2)$

Step2: Find horizontal/vertical distances

Horizontal: $|3 - (-4)| = 7$, Vertical: $|2 - (-6)| = 8$

Step3: Apply Pythagorean Theorem

Distance $d = \sqrt{7^2 + 8^2} = \sqrt{49 + 64} = \sqrt{113}$

Answer:

A. $\sqrt{113}$