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MAXImum [283]
3 years ago
12

Calculate the distance between points A(4, 6) and B(-3, 9)

Mathematics
1 answer:
ElenaW [278]3 years ago
8 0

Step-by-step explanation:

Hey there!

The points are; A(4,6) and B(-3,9).

<u>Using</u><u> </u><u>distance formula</u><u>,</u>

<u>d =  \sqrt{ {(x2 - x1)}^{2} +  {(y2 - y1)}^{2}  }</u>

<u>Putc</u><u> </u><u>all</u><u> </u><u>values</u><u> </u><u>.</u>

<u>d =  \sqrt{ {( - 3 - 4)}^{2} + ( {9 - 6)}^{2}  }</u>

<u>Simplify</u><u> </u><u>it</u><u>.</u>

<u>d =  \sqrt{ {( - 7)}^{2} +  {3}^{2}  }</u>

<u>d =  \sqrt{49 + 9}</u>

<u>= \sqrt{58}</u>

<u>Therefore the</u><u> </u><u>distance</u><u> </u><u>between two points</u><u> </u><u>is</u><u> </u><u>root</u><u> </u><u>5</u><u>8</u><u> </u><u>units</u><u> </u><u>Or</u><u> </u><u>7</u><u>.</u><u>6</u><u>1</u><u> </u><u>units</u><u>. </u>

<em><u>Hope</u></em><em><u> </u></em><em><u>it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

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