1,000,000
Explain: 100 x 10,000 = 1,000,000 just round then multiply
Answer:
125000 square feet
Step-by-step explanation:
Since there are only three sides of the rectangle, the perimeter of the fence is:
Let x and y be the sides of the rectangle, we are left with:
2 * x + y = 1000
solving for and:
y = 1000 - 2 * x
The area of the corral is:
A = x * y
replacing
A = x * (1000 - 2*x)
A = 1000 * x - 2*x^2
to find the maximum for the parabolic function A = 1000 * x - 2*x^2
The function has a maximum since the quotient before x ^ 2 is negative: -2 <0
Amax = c - b^2 /4*a
where a = -2, b = 1000, c = 0
A max = 0 - 1000^2/(4 * (- 2))
A max = 125000 ft^2
The maximum possible area of the pen is 125000 square feet.
Answer:
0.59
Step-by-step explanation:
Find the length of the line from A to C, which would be the radius using the distance formula:
Distance = √(-5 +1)^2 + 1+2)^2)
Distance = √(4^2 + 3^2)
Distance = √25
Distance = 5
The equation of a circle is written as (x-h)^2 + (y-k)^2 = r^2, where h and k is the center point X and y values and r is the radius.
The center of the circle is located at A ( -1,-2) and the radius is 5.
Replace h, k and r with those values:
(x - (-1))^2 + (y- (-2))^2 = 5^2
Simplify to get:
(x+1)^2 + (y+2)^2 = 25
