Question

1. larry wants to go from his house to his grandmothers house. how much distance is saved if he takes main street instead of market and exchange? larrys house grandmothers house main street 5 blocks market street 3 blocks d blocks exchange street

Explanation:

Step1: Calculate the length of Exchange Street

Use the Pythagorean theorem \(a^{2}+b^{2}=c^{2}\), where \(c = 5\) (Main Street), \(a=3\) (Market Street), and \(b = d\) (Exchange Street).

$$d=\sqrt{5^{2}-3^{2}}$$

$$d=\sqrt{25 - 9}$$

$$d=\sqrt{16}$$

$$d = 4$$

Step2: Calculate the distance saved

Distance via Market and Exchange: \(3 + 4=7\) blocks.
Distance via Main Street: \(5\) blocks.
Distance saved: \(7-5\)

Answer:

\(2\) blocks