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.
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Answer:
Volume of the prism = 140 cubic inches.
Step-by-step explanation:
The edge length of the cube is 1/2 inches.
The volume of the cube is given by
Now, it has been given that there are 1120 cube is completely filled in the prism. Hence, we have to the multiply the volume by 1120.
Volume of the prism = 1120 × 0.125
Volume of the prism = 140 cubic inches.
Answer:
1. y = mx + b
Step-by-step explanation:
y = mx + b
2) to find the y intercept you need to see what cross | ( 8,5)
3) 5 = m(8) = b
4) your slope is negative form the why it pointing
5) in this case your slope is 1/3
6) so now you can do your first step now that you have your (y,x) and slope (your solving for (b)
7)
5 = 1/3 (8) + b
5 = 2.6 + b
5 = 2.6
-2.6
2.4 = b
m∠AOC = 108°
m∠AOC = 3m∠AOB
⇒m∠AOB = (m∠AOC) / 3 = 108 / 3 = 36°
