MATH SOLVE

3 months ago

Q:
# Find the distance between (3,-3) and (2,7)

Accepted Solution

A:

Answer:[tex]\sqrt{101} = D[/tex]Step-by-step explanation:Method #1We can draw a right triangle on the graph upon where the points are located and use the Pythagorean Theorem:[tex]{a}^{2} + {b}^{2} = {c}^{2}[/tex][tex]{1}^{2} + {10}^{2} = {c}^{2}[/tex][tex]1 + 100 = {c}^{2}[/tex][tex]101 = {c}^{2}[/tex][tex]\sqrt{101} = c[/tex]* Whenever we talk about distance, we ONLY want the NON-NEGATIVE root._______________________________________________Method #2Or, we can use the Distance Formula:[tex]\sqrt{[-x_1 + x_2]^{2} + [-y_1 + y_2]^{2}} = D[/tex][2, 7] [3, β3][tex]\sqrt{[-3 + 2]^{2} + [3 + 7]^{2}} = D[/tex][tex]\sqrt{[-1]^{2} + 10^{2}} = D[/tex][tex]\sqrt{1 + 100} = D[/tex][tex]\sqrt{101} = D[/tex]** You see? It does not matter which method you choose, as long as you are doing the work correctly.I am delighted to assist you anytime.