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4vir4ik [10]
2 years ago
15

Find the distance between the points (6, -4) and (0, 5). A. 117 B. 37 C. 313−−√ D. 37−−√

Mathematics
1 answer:
Artist 52 [7]2 years ago
5 0

Answer:  Choice A)  \sqrt{117}

Work Shown:

(x_1,y_1) = (6,-4) \text{ and } (x_2, y_2) = (0,5)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(6-0)^2 + (-4-5)^2}\\\\d = \sqrt{(6)^2 + (-9)^2}\\\\d = \sqrt{36 + 81}\\\\d = \sqrt{117}\\\\d = \sqrt{9*13}\\\\d = \sqrt{9}*\sqrt{13}\\\\d = 3\sqrt{13}\\\\d \approx 10.8167\\\\

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Answer:

The question is not complete, below is a complete question with the accompanying diagram:

Instructions: Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

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Answer:

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Step-by-step explanation:

From the question and attached diagram, the following information is given:

AB is parallel to CD

EF is perpendicular to AB

Required: number of 90° angles formed by the intersection of the perpendicular line and the parallel lines.

<em>Note, the angle formed between a line and a perpendicular line = 90°</em>

From the diagram:

Number of 90° angle formed by intersection of perpendicular line EF and line AB = ∠1, ∠2, ∠3 and ∠4 = 4 angles

Number of 90° angle formed by intersection of perpendicular line EF and line  CD = ∠5, ∠6, ∠7 and ∠8 = 4 angles

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4 0
3 years ago
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