Answer:
(8, 11)
Step-by-step explanation:
The 2-point form of the equation of a line is useful for the one where only points are given.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (3 -1)/(4 -3)(x -3) +1
y = 2(x -3) +1
We can equate this to the expression for y in the given equation.
x +3 = 2(x -3) +1
x +3 = 2x -5 . . . . . . eliminate parentheses
8 = x . . . . . . . . . . . . add 5-x
Using the given equation, we can find y:
y = x +3 = 8 +3
y = 11
The solution to the system is (x, y) = (8, 11).
Answer:
5981.25 m²
Step-by-step explanation:
1. Divide the court into two sections. One section being the semicircle, the other being the rectangle.
2. Multiply 100 by 50 to get the area of the rectangle, which is 5000.
3. Divide 50 by 2 to get the radius of the semicircle, which is 25.
4. Find the formula used for area of a semicircle A = r²
5. Insert 25 into where the "r" is in the equation: A = (25²), resulting in about 981.25. (I replaced
with 3.14)
6. Add the area of the rectangle with the area of the semicircle, 5000 + 981.25 = 5981.25.
7. The final answer is 5981.25 m².