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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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Mr. Joaquin had $71.25 in his bank account, but then he bought some new ties and pants. After the purchase, he was in debt $25.2
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Step-by-step explanation:

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2 years ago
Solve the triangle that has a=4.6, B=19°, A=92° (picture provided)
kolezko [41]

Answer:

Option b

Step-by-step explanation:

To solve this problem use the law of the sines.

We have 2 angles of the triangle and one of the sides.

a = 4.6\\B = 19\°\\A = 92\°\\C = 180 -A - B\\C = 180 - 92 - 19\\C = 69\°

The law of the sines is:

\frac{sin(A)}{a} = \frac{sin(B)}{b} = \frac{sin(C)}{c}

Then:

\frac{sin(92)}{4.6} = \frac{sin(19)}{b}\\\\b = \frac{sin(19)}{\frac{sin(92)}{4.6}}\\\\b = 1.5

\frac{sin(B)}{b} = \frac{sin(C)}{c}\\\\\frac{sin(19)}{1.5} = \frac{sin(69)}{c}\\\\c = \frac{sin(69)}{\frac{sin(19)}{1.5}}\\\\c = 4.30

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2 years ago
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Pavel [41]

Answer:

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Step-by-step explanation:

idk guess

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3 years ago
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