Mathematics, 24.07.2019 15:00 caro70

How do you know if two line segments are perpendicular? a. the slope of one is the negative of the slope of the other. b. their slopes are reciprocals. c. their slopes are negative reciprocals. d. their slopes are equal.

Answers: 2

Show answers

Answers

Answer from: wowihavefun

The correct option is

Step-by-step explanation: We are given to select the correct reason for two line segments to be perpendicular.

We know that

If two line segments are perpendicular, then the product of their slopes is - 1.

Let, m and n represents the slopes of two lines that are perpendicular to each other.

Then, we must have

$m\times n=-1\\\\\\\Rightarrow m=-\dfrac{1}{n}~~~~~\textup{and}~~~~~n=-\dfrac{1}{m}.$

This implies that m is the negative reciprocal of n and n is the negative reciprocal of m.

Thus, the slopes are negative reciprocals.

Option (C) is CORRECT.

Answer from: janiyagoldsmith

If two line segments are perpendicular their slopes are negative reciprocals. Option (C) is correct.

Further explanation:

Given:

The options are as follows,

A. The slope of one is the negative of the slope of the other.

B. Their slopes are reciprocals.

C. Their slopes are negative reciprocals.

D. Their slopes are equal.

Explanation:

Consider the slope of the first line as ${m_1}.$

The slope of the second line is ${m_2}.$

The product of the slopes of the perpendicular line is -1.

$\begin{aligned}{m_1} \times {m_2} &= - 1 \\{m_1} &= \frac{{ - 1}}{{{m_2}}}\\\end{aligned}$

The slopes are negative reciprocals to each other.

If two line segments are perpendicular their slopes are negative reciprocals. Option (C) is correct.

Option (A) is not correct.

Option (B) is not correct.

Option (C) is correct.

Option (D) is not correct.

Learn more:

Learn more about inverse of the function . Learn more about equation of circle . Learn more about range and domain of the function

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Linear equation

Keywords: line segment, perpendicular, slope, negative slope, reciprocals, slopes are equal, negative reciprocals, graph function, numbers, slope, slope intercept, equation, origin.

Answer from: Quest

based on context clues you gave i'm assuming the answer would be c.

Pls on time limit : 3 what does this map portray? a. the direction of wind patterns in italy. c. t

Answer from: Quest

10010010001010010101001001010010100101010010101010010010101010110010001011010010010001

step-by-step explanation:

Another question on Mathematics

Mathematics, 21.06.2019 20:00

The two cylinders are similar. if the ratio of their surface areas is 9/1.44 find the volume of each cylinder. round your answer to the nearest hundredth. a. small cylinder: 152.00 m3 large cylinder: 950.02 m3 b. small cylinder: 972.14 m3 large cylinder: 12,924.24 m3 c. small cylinder: 851.22 m3 large cylinder: 13,300.25 m3 d. small cylinder: 682.95 m3 large cylinder: 13,539.68 m3

Answers: 2

Answer

Mathematics, 21.06.2019 20:20

Abag contains 3 red marbles, 2 blue marbles, and 2 green marbles. one marble is picked, then another marble. assume that the selections are made with replacement. a) find the probability of picking two red marbles with replacement. b) find the probability of picking a red marble and a blue marble. assume the selections are made without replacement. c) find the probability of picking two red marbles without replacement. d) find the probability of picking a red marble and a blue marble without replacement.

Answers: 1

Answer

Mathematics, 21.06.2019 20:30

Jose is going to use a random number generator 500500 times. each time he uses it, he will get a 1, 2, 3,1,2,3, or 44.

Answers: 1

Answer

Mathematics, 21.06.2019 22:30

My hour hand points between the 8 and the 9 in 35 minutes it will be the next hour. what time is it ?

Answers: 2

Answer

You know the right answer?

How do you know if two line segments are perpendicular? a. the slope of one is the negative of the...