Answer:
20 ft by 60 ft
Step-by-step explanation:
"What should the dimensions of the garden be to maximize this area?"
If y is the length of the garden, parallel to the stream, and x is the width of the garden, then the amount of fencing is:
120 = 3x + y
And the area is:
A = xy
Use substitution:
A = x (120 − 3x)
A = -3x² + 120x
This is a downward facing parabola. The maximum is at the vertex, which we can find using x = -b/(2a).
x = -120 / (2 · -3)
x = 20
When x = 20, y = 60. So the garden should be 20 ft by 60 ft.
You have the correct answer being (-5,3). Simply add the parentheses around the point
Answer:
I believe it is 49.425
Step-by-step explanation:
You just add all the numbers then divide it by how many numbers there are.
"Minute" is a unit of time, whereas "mile" is a unit of length or distance.
They have different physical dimensions, they measure different quantities,
and they can't be converted one to the other.
If distance could be converted to time, then it would be possible for you ...
or a more mathematically capable acquaintance ... to calculate how many
minutes long your dog's tail is.
A = pi r^2
a = 3.14 * 97^2
a = 29,544.26 mm^2
