Answered

Discover the answers you need at Westonci.ca, a dynamic Q&A platform where knowledge is shared freely by a community of experts. Discover comprehensive solutions to your questions from a wide network of experts on our user-friendly platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

If each of the following represents the slope of a line (or line segment), give the slope a line that is perpendicular to it. (a) 4 3 m (b) 3 7 m ( c )4 m (d) 1 3

Sagot :

MrRoyal

Answer:

[tex]m_2 = -\frac{3}{4}[/tex] -- (a)

[tex]m_2 = -\frac{7}{3}[/tex] -- (b)

[tex]m_2 = -\frac{1}{4}[/tex] --- (c)

[tex]m_2 = -3[/tex] -- (d)

Step-by-step explanation:

Given

[tex]a.\ m = \frac{4}{3}[/tex]

[tex]b.\ m = \frac{3}{7}[/tex]

[tex]c.\ m = 4[/tex]

[tex]d.\ m = \frac{1}{3}[/tex]

Required

Determine the slope of a perpendicular line

In geometry, the condition for perpendicularity is:

[tex]m_2 = -\frac{1}{m}[/tex]

This formula will be applied in solving these questions.

[tex]a.\ m = \frac{4}{3}[/tex]

[tex]m_2 = -\frac{1}{m}[/tex]

Substitute 4/3 for m

[tex]m_2 = -\frac{1}{4/3}[/tex]

Express as a proper division

[tex]m_2 = -1/ \frac{4}{3}[/tex]

Convert to *

[tex]m_2 = -1* \frac{3}{4}[/tex]

[tex]m_2 = -\frac{3}{4}[/tex]

[tex]b.\ m = \frac{3}{7}[/tex]

[tex]m_2 = -\frac{1}{m}[/tex]

Substitute 3/7 for m

[tex]m_2 = -\frac{1}{3/7}[/tex]

Express as a proper division

[tex]m_2 = -1/ \frac{3}{7}[/tex]

Convert to *

[tex]m_2 = -1* \frac{7}{3}[/tex]

[tex]m_2 = -\frac{7}{3}[/tex]

[tex]c.\ m = 4[/tex]

[tex]m_2 = -\frac{1}{m}[/tex]

Substitute 4 for m

[tex]m_2 = -\frac{1}{4}[/tex]

[tex]d.\ m = \frac{1}{3}[/tex]

[tex]m_2 = -\frac{1}{m}[/tex]

Substitute 1/3 for m

[tex]m_2 = -\frac{1}{1/3}[/tex]

Express as a proper division

[tex]m_2 = -1/ \frac{1}{3}[/tex]

Convert to *

[tex]m_2 = -1* \frac{3}{1}[/tex]

[tex]m_2 = -\frac{3}{1}[/tex]

[tex]m_2 = -3[/tex]

Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.