A system of equations is graphed on the coordinate plane.
2 answers:
Answer:
- The solution is (x, y) = (-2, 0)
- A graph is attached
Step-by-step explanation:
The graph shows the solution. The first equation has a y-intercept of -4 and a slope of -2, so will go through the point (-2, 0).
The second equation has a y-intercept of +4 and a slope of 2, so will go through the point (-2, 0).
Both equations have the same x-intercept, so that x-intercept is the solution to the system of equations.
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Answer:
they match with each other
A -1
B-2
C-3
Step-by-step explanation:
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
