The formula for calculating the area of a circle is expressed as;
A = πr²
- Area of the pond = πr²
- Area of the path = Area of the path + pond - area of pond
- Area of path = π(r+1.5)² - πr²
Since the area of the path is equal to the area of the pond, hence;
π(r+1.5)² - πr² = πr²
Add πr² to both sides
π(r+1.5)² - πr² + πr² = πr² + πr²
π(r+1.5)² = 2πr²
(r+1.5)² = 2r²
Expand the parenthesis
r²+3r + 2.25 = 2r²
r²+3r + 2.25 - 2r² = 0
-r² + 3r + 2.25 = 0
r² - 3r - 2.25 = 0
Multiply through by 2
2r² - 6.0r - 4.5 = 0
<em>This proves the required equation</em>
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Learn more on area of composite figures here: brainly.com/question/15981553
Answer:
Rule: y = 2x
m = 2
b = 0
Step-by-step explanation:
(17, 34) and (22, 44)
<u>Slope:</u>
m=(y2-y1)/(x2-x1)
m=(44-34)/(22-17)
m= (10)/5
m = 2
<u>Slope-intercept:</u>
y - y1 = m(x - x1)
y - 34 = 2(x - 17)
y - 34 = 2x - 34
y = 2x
y = mx + b
y = 2x
b = 0
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Answer:
54 is anwer.
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