Answer:
The equation of the line would be y = 1/5x + 6
Step-by-step explanation:
First, to find the slope of a perpendicular line, you need to find the opposite and reciprocal of the original slope. Since the original is -5, we first change the sign (which makes it just 5). Now we take that 5 and flip it to get 1/5.
Now that we have the slope as 1/5, we can use that and the intercept in slope-intercept form to get the equation.
y = mx + b
y = 1/5x + 6
Answer & Step-by-step explanation:
This can be proven with the SAS theorem (side-angle-side)
With a perpendicular bisector, the line it bisects is cut directly in half. This creates two equal sides:
and it creates two 90° angles:
∠
∠
And because of the reflexive property of congruence:
Side-Angle-Side.
:Done
- 38.79
- 3053.63
- 904.78
- 2544.69
- 226.19
- 402.12
- 1072.33
- 1526.81
- 28.73
- 113.1
- 3801.33
- 268.08
- 2094.4
- 75.4
- 94.25
- 37.7
- 1884.96
- 2065.24
- 19861.7
- 1385.44
- 287.98
- 4.19
- 3619.11
- 113.1
- 50.27
I did this really quick so I hope all the answers are right, and double check them if you have time just in case
Y = cos(x)
sqrt(3)/2 = cos(30º)
dy = -sin(x)*dx
dy = -sin(30º)*(pi/180) = (1/2)*(pi/180)
y + dy = cos(x) - sin(x)dx
y + dy = sqrt(3)/2 - (1/2)*(pi/180) = 0.8573
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