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mario62 [17]
2 years ago
13

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

Mathematics
1 answer:
yarga [219]2 years ago
5 0

Answer:

\sqrt{101} = D

Step-by-step explanation:

Method #1

We can draw a <em>right triangle</em> on the graph upon where the points are located and use the Pythagorean Theorem:

{a}^{2} + {b}^{2} = {c}^{2}

{1}^{2} + {10}^{2} = {c}^{2}

1 + 100 = {c}^{2}

101 = {c}^{2}

\sqrt{101} = c

* Whenever we talk about distance, we ONLY want the NON-NEGATIVE root.

_______________________________________________

Method #2

Or, we can use the Distance Formula:

\sqrt{[-x_1 + x_2]^{2} + [-y_1 + y_2]^{2}} = D

[2, 7] [3, −3]

\sqrt{[-3 + 2]^{2} + [3 + 7]^{2}} = D

\sqrt{[-1]^{2} + 10^{2}} = D

\sqrt{1 + 100} = D

\sqrt{101} = D

** 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.

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