Answer:
[tex]\sqrt{13} = D[/tex]
Step-by-step explanation:
Method #1
We 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]{3}^{2} + {2}^{2} = {c}^{2}[/tex]
[tex]9 + 4 = {c}^{2}[/tex]
[tex]13 = {c}^{2}[/tex]
[tex]\sqrt{13} = c[/tex]
* Whenever we talk about distance, we ONLY want the NON-NEGATIVE root.
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Method #2
We can use the Distance Formula:
[tex]\sqrt{[-x_1 + x_2]^{2} + [-y_1 + y_2]^{2}} = D[/tex]
N[−3, 2] M[−6, 0]
[tex]\sqrt{[3 - 6]^{2} + [0 + 2]^{2}} = D[/tex]
[tex]\sqrt{[-3]^{2} + 2^{2}} = D[/tex]
[tex]\sqrt{9 + 4} = D[/tex]
[tex]\sqrt{13} = D[/tex]
* Whenever we talk about distance, we ONLY want the NON-NEGATIVE root.
** You see? It does not matter which method you choose, as long as you are doing the work correctly.
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