4 years ago

1. Which statement is NOT true?

Mathematics

1 answer:

Otrada [13]4 years ago

8 0

Answer:

Step-by-step explanation:

A trapezoid is NOT a parallelogram because a parallelogram have 2 pairs of parallel sides. But a trapezoid/trapezium only has 1 pair of parallel sides.

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Lines a and b are perpendicular. If the slope of line a is 3, what is the slope of line b?

erma4kov [3.2K]

Answer:

$\large\boxed{D.\ -\dfrac{1}{3}}$

Step-by-step explanation:

$\text{Let}\ k:y=m_1x+b_1\ \text{and}\ l:y=m_2x+b_2,\ \text{then}\\\\l\ ||\ k\iff m_2=m_1\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\-------------------\\\\\text{We have the slope of given line a:}\ m_1=3.\ \text{Therefore the slope of a line b}\\\text{perpendicular to a is: }\\\\m_2=-\dfrac{1}{m_1}\to m_2=-\dfrac{1}{3}$