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3 years ago

The equation of line AB is (y-3) = 5 (x - 4). What is the slope of a line perpendicular to line AB?

Mathematics

2 answers:

Nastasia [14]3 years ago

5 0

Y - 3 = 5(x - 4)
y - 3 = 5x - 20
y = 5x - 20 + 3 = 5x - 17
=> slope = 5

For perpendicular line, m2 = -1/m1 = -1/5

Greeley [361]3 years ago

5 0

Perpendicular lines are lines that intersect. The angle made by their intersection is a right angle. To know if 2 lines are perpendicular is through their slopes. The slope of the other line must be the negative reciprocal of the slope of the first. Since the slope of line AB is 5 hence the slope of the other line must be -1/5. C is the answer.

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Kaitlin, Tony, and Austin sent a total of 103 text messages over their cell phones during the weekend. Austin sent 4 times as ma

emmainna [20.7K]

The number of messages Kaitlyn, Tony and Austin sent are 13, 18 and 72 messages respectively.

<h3>How to write and solve equation?</h3>

let

Number of messages Kaitlyn sent = x
Number of messages Tony sent = x + 5
Number of messages Austin sent = 4(x + 5)
Total messages = 103

103 = x + (x + 5) + 4(x + 5)

103 = x + x + 5 + 4x + 20

103 = 6x + 25

103 - 25 = 6x

78 = 6x

x = 78/6

x = 13

Number of messages each sent:

Number of messages Kaitlyn sent = x

= 13 messages

Number of messages Tony sent = x + 5

= 13 + 5

= 18 messages

Number of messages Austin sent = 4(x + 5)

= 4(13 + 5)

= 4(18)

= 72 messages

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brainly.com/question/2972832

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valina [46]

Answer:

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Step-by-step explanation:

We want to find an equation of a line that's perpendicular to x=1 that also passes through the point (8,-9).

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This means that if our new line is perpendicular to the old, then it must be a <em>horizontal line</em>.

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