Answer:
Step-by-step explanation:
-(-)=+
so -8-(-3)=-8+3
=-5
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:
see explanation
Step-by-step explanation:
a shift of 3 squares right means add 3 to the x- coordinate
a shift of 1 square down means subtract 1 from the y- coordinate
translation rule is (x, y ) → (x + 3, y - 1 ) , then
(1, 1 ) → (1 + 3, 1 - 1 ) → (4, 0 )
(1, 4 ) → (1 + 3, 4 - 1 ) → (4, 3 )
(3, 1 ) → (3 + 3, 1 - 1 ) → (6, 0 )