Micheal answered 3 wrong.
Nythia answered 4 wrong.
Raul answered 1 wrong.
Tonya answered 7 wrong.
The other student lost 36 points.
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
Simplify f(g(x))=-3(2x-3)^2 -2(2x-3)+1
Step-by-step explanation:
you plug in the g(x) function for every x in the f(x) function and then simplify to get the answer. sorry I can't solve it right now
The answer is A trust me I did it before