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Nana76 [90]
3 years ago
11

Find the equation of the line that is perpendicular to the given line and passes through the given point.

Mathematics
1 answer:
Solnce55 [7]3 years ago
7 0

Answer:

y = 3x + 2

y = 6x – 3

y = 2/3x + 6

y = –1/3x – 4

y = 2x + 1

Correct answer:

y = 3x + 2

Explanation:

Convert the equation to slope intercept form to get y = –1/3x + 2.  The old slope is –1/3 and the new slope is 3.  Perpendicular slopes must be opposite reciprocals of each other:  m1 * m2 = –1

With the new slope, use the slope intercept form and the point to calculate the intercept: y = mx + b or 5 = 3(1) + b, so b = 2

So y = 3x + 2

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Question 1:
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Total points = 100
Total question = 40
Type of questions : 2-points question and 4-points questions

Assumed all 40 questions are 2-points questions.
Total points = 40 x 2 = 80

Difference in points = 100 - 80 = 20 points
Difference in the 2 type of questions = 4 - 2 = 2

Number of 4 marks questions = 20 ÷ 2 = 10 

Number of 2 marks questions = 40 - 10 = 30

Answer: There are 10 4-marks questions and 30 2-marks questions.

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Question 2:
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Let x be the number of offices you need to clean.

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Question 3:
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Total distance (including return trip) = 255 + 255 = 510 miles

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