12y = x + 23
Step-by-step explanation:
- y = −12x + 5
- Perpendicular slopes are opposite reciprocals.
- The original slope is −12
- So the new perpendicular slope is 1/12.
- We plug the point (1, 2) and the slope m = 1/12 into the slope intercept form of the equation y = mx + b
y = mx + b
2 = 1/12 * 1 + b
2 = 1/12 + b
b = 23/12
- When we simplify this, we arrive at 12y = x + 23
Area of circle = πr²
Given that area = 153.86 m², find the radius:
153.86 = πr²
r² = 153.86 ÷ π
r² = 48.98
r = √48.98
r = 7 m
Diameter = Radius x 2 = 7 x 2 = 14 m
Answer: Diameter = 14 m
Answer:
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Step-by-step explanation:
Answer:
Step-by-step explanation:
Let height = x cm
Base = 3x cm
Area of triangle = 63 cm^2

x = 6.48
Height = 6.5 cm