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zepelin [54]
2 years ago
6

Which of the following is the equation of a line perpendicular to the line

Mathematics
1 answer:
Taya2010 [7]2 years ago
3 0

Answer:

  • A. - 2x + 3y = 21

Step-by-step explanation:

The perpendicular lines have opposite reciprocal slopes.

<u>The given line has a slope of:</u>

  • m = -3/2

<u>The perpendicular slope is:</u>

  • m = 2/3

<u>And its y-intercept is:</u>

  • 9 = 2/3*3 + b
  • b = 7

<u>The line is:</u>

  • y = 2/3x + 7

<u>Convert this into standard form and compare with answer choices:</u>

  • 3y = 2x + 21
  • - 2x + 3y = 21

Correct choice is A

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A. Write an equation that compares Tom sand Ann's ages.b. Draw a graph to represent theequation
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a. The equation that relates Ann's age (x) and Tom's age (y) is a line

The slope-intercept form of a line is:

y = mx + b

where m is the slope and b is the y-intercept.

The slope of the line that passes through the points (x1, y1) and (x2, y2) is computed as follows:

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From the table, the line passes through the points (4, 8) and (8, 12), then its slope is:

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Substituting with m = 1 and the point (4, 8) into the general equation, we get:

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y = x + 4

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The sample size, n, given to us is 27.

Thus, the standard deviation, s, for the sample can be calculated using the formula, s = √{p(1 - p)}/n.

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We are asked to calculate the probability that the number of tested rafts that develop cracks is no more than 3, that is, we need to calculate P(X ≤3).

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Answer:

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