Answer:
Correct answer: (x - 10)² + y² = 441 / 4
Step-by-step explanation:
Given:
(a, b) = (10, 0) the coordinates of the center of the circle
(10, 21/2) circle passing through this point
The standard form of the circle equation is:
(x - a)² + (y - b)² = r² where r is radius of the circle
We will replace the given coordinates of the center of the circle and the point it passes through to get the radius of the circle:
(10 - 10)² + (21/2)² = r² ⇒ r² = (21/2)² = 441 / 4
r² = 441 / 4
(x - 10)² + y² = 441 / 4
God is with you!!!
Answer:1695.75
Step-by-step explanation:
We know that there are 7 days in a week. Since 57 people rent skates each day, we know that 57*7=399 skates are rented each week. Since one skate cost 4.25, we know that 399*4.25 is the cost, which is 1695.75. (If you are not allowed to use a calculator, you can do 400*4.25-4.25, to make it easier to compute)
Answer: x=-17
Step-by-step explanation: Divide by -1 then add 8 to both sides and get (x+9)^3=-512, and the cube root of -512 is -8, so x+9=-8, and subtracting 9 from both sides we get x=-17 as answer.
Answer:
502
Step-by-step explanation:
4 times 125.50 equals 502
x = 3 + y Eqn(1)
y = -2x + 9 Eqn(2)
Let us solve the system of equations with the substitution method
x - 3 = y (Subtracting 3 from both sides of the Eqn(1))
Replacing y = x - 3 in Eqn (2), we have:
x - 3 = -2x + 9
x = -2x + 9 + 3 (Adding 3 to both sides of the equation)
x + 2x = 9 + 3 (Adding 2x to both sides of the equation)
3x = 12 ( Adding like terms)
x = 12/3 (Dividing by 3 on both sides of the equation)
x = 4
Replacing x=4 in Eqn(1), we have:
4 = 3 + y
4 - 3 = y (Subtracting 3 from both sides of the equation)
y=1
The answers are:
x= 4 and y=1
