Answer:
x=-3+√19, x=-3-√19
Step-by-step explanation:
x^2+6x=10
x^2+6x-10=10-10
x^2+6x-10=0
a=1 b=6 c=-10 - use the quadratic formula
x=-3+√19, x=-3-√19
I hope this helps!
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:
67.1m
Step-by-step explanation:
67100 divided by 1000 = 67.1m
Answer:
1/2
Step-by-step explanation:
Rise 1 over 2
24 divided by 8 is 3
so three students play the piano
