We appreciate your visit to Which line is perpendicular to a line that has a slope of tex frac 5 6 tex A line JK B line LM C line. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
To determine which line is perpendicular to a line with a slope of [tex]\(-\frac{5}{6}\)[/tex], we need to find the slope of a perpendicular line.
1. Understand perpendicular slopes: Two lines are perpendicular if and only if the product of their slopes is [tex]\(-1\)[/tex]. This means that the slope of the perpendicular line will be the negative reciprocal of the slope of the given line.
2. Find the negative reciprocal: The slope of the given line is [tex]\(-\frac{5}{6}\)[/tex]. To find the negative reciprocal, you flip the fraction and change the sign:
- The reciprocal of [tex]\(-\frac{5}{6}\)[/tex] is [tex]\(-\frac{6}{5}\)[/tex].
- Change the sign to get [tex]\(\frac{6}{5}\)[/tex].
3. Convert the fraction to a decimal: The fraction [tex]\(\frac{6}{5}\)[/tex] can be converted to a decimal, which is [tex]\(1.2\)[/tex].
Therefore, a line that is perpendicular to the line with slope [tex]\(-\frac{5}{6}\)[/tex] will have a slope of [tex]\(1.2\)[/tex]. To identify the correct line, you would need additional information about the slopes of lines JK, LM, NO, and PQ, and look for the one with a slope of [tex]\(1.2\)[/tex].
1. Understand perpendicular slopes: Two lines are perpendicular if and only if the product of their slopes is [tex]\(-1\)[/tex]. This means that the slope of the perpendicular line will be the negative reciprocal of the slope of the given line.
2. Find the negative reciprocal: The slope of the given line is [tex]\(-\frac{5}{6}\)[/tex]. To find the negative reciprocal, you flip the fraction and change the sign:
- The reciprocal of [tex]\(-\frac{5}{6}\)[/tex] is [tex]\(-\frac{6}{5}\)[/tex].
- Change the sign to get [tex]\(\frac{6}{5}\)[/tex].
3. Convert the fraction to a decimal: The fraction [tex]\(\frac{6}{5}\)[/tex] can be converted to a decimal, which is [tex]\(1.2\)[/tex].
Therefore, a line that is perpendicular to the line with slope [tex]\(-\frac{5}{6}\)[/tex] will have a slope of [tex]\(1.2\)[/tex]. To identify the correct line, you would need additional information about the slopes of lines JK, LM, NO, and PQ, and look for the one with a slope of [tex]\(1.2\)[/tex].
Thanks for taking the time to read Which line is perpendicular to a line that has a slope of tex frac 5 6 tex A line JK B line LM C line. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
