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4 years ago

The line given by the equation y=5x+2 is perpendicular to the line given by which of the equations below?

Mathematics

2 answers:

BabaBlast [244]4 years ago

6 0

perpendicular lies have negative reciprocal slopes

M=5 so m=-1/5

Choice D

Ne4ueva [31]4 years ago

3 0

the equation of a line in slope-intercept form is

y = mx + c ( m is the slope and c the y-intercept )

y = 5x + 2 is in this form with m = 5

Given a line with slope m then the slope of a line perpendicular to it is

perpendicular slope = - $\frac{1}{m}$ = - $\frac{1}{5}$

the only equation from the list with this slope is equation D

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Romashka [77]

<h3>Hello There!!</h3>

<h3><u>Given</u>:-</h3>

Altitude (AB) = 6cm

Base (BC) = 8cm

Hypotenuse (AC) = ?

$\fbox \text{According To Pythagoras Theorem = }$

$\text{(Hypotenuse)² = (Altitude)² + (Base)²}$

Inserting The Values

$\text{(Hypotenuse)²} =( {6})^{2} + (8) {}^{2}$

$(\text{AC}) {}^{2} = (6) {}^{2} + (8) {}^{2} \\ \implies \text{(AC)} {}^{2} = 36 + 64 \\ \implies\text{AC} = \sqrt{100} \\ \implies\text{AC} = 10 \\ \\ \therefore \text{Hypotenuse (AC)} = 10 \text{cm}$

Correct Option D= <em>10cm</em><em> </em>

<h3>Hope this helps</h3>

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2 years ago