<em>Answer:</em>
<em>x = 3</em>
<em>Step-by-step explanation:</em>
<em>Hi there ! </em>
<em>0 = - 2x + 6</em>
<em>2x = 6</em>
<em>x = 6 : 2</em>
<em>x = 3</em>
<em>Good luck !</em>
The equation of the perpendicular line to the given line is: y = -5/4x - 30.
<h3>What is the Equation of Perpendicular Lines?</h3>
The slope values of two perpendicular lines are negative reciprocal of each other.
Given that the line is perpendicular to y = 4/5x+23, the slope of y = 4/5x+23 is 4/5. Negative reciprocal of 4/5 is -5/4.
Therefore, the line that is perpendicular to it would have a slope (m) of -5/4.
Plug in m = -5/4 and (x, y) = (-40, 20) into y = mx + b to find b:
20 = -5/4(-40) + b
20 = 50 + b
20 - 50 = b
b = -30
Substitute m = -5/4 and b = -30 into y = mx + b:
y = -5/4x - 30
The equation of the perpendicular line is: y = -5/4x - 30.
Learn more about about equation of perpendicular lines on:
brainly.com/question/7098341
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that'd be a segment.
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The answer to this question is C.
yes!! glad that you support this! keep your head up and keep on smiling! <3