Answer:
m= -3/2
Step-by-step explanation:
First, we must find the slope of the line given. We are given the equation:
y-2/3x=2
We must get this equation in slope-intercept form: y=mx+b (where m is the slope and b is the y-intercept). In order to do this, we must get y isolated.
2/3x is being subtracted from y. We want to preform the inverse, so we should add 2/3x to both sides.
y-2/3x+2/3x=2+2/3x
y=2+2/3x
Rearrange the terms.
y= 2/3x+2
Now the equation is in slope intercept form. (y=mx+b). 2/3 and x are being multiplied, so we know that the slope is 2/3.
Now, we have to find the perpendicular slope. Perpendicular lines have negative reciprocal slopes.
1. Negative
m=2/3
Negate the slope.
m= -2/3
2. Reciprocal
m= -2/3
Flip the numerator (top number) and denominator (bottom number).
m= -3/2
The perpendicular slope is -3/2
Answer:
4 19/24
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Answer:
140.37 in²
Step-by-step explanation:
C = 2πr
42 = 2πr
21 = πr
r = 21/π
A = πr²
A = π × (21/π)²
≈ 140.37 in²
Answer:
4 pieces a minute
Step-by-step explanation:
115 minus 63 equals 52. 52 is what they did in 13 minutes so 52 divided by1 3 is 4 so 4.
