To get the answer, divide 36 by 7. And the answer of that is 5.1428571428571429
Answer:
Slope: 1/3; Y-iintercept: 4 y=1/3x+4
Slope: -2; Y-intercept: 4 y=-2x
Step-by-step explanation:
Hope this helps :3
if it did pls mark brainliest
Given Information:
Area of rectangle = 16 square feet
Required Information:
Least amount of material = ?
Answer:
x = 4 ft and y = 4 ft
Step-by-step explanation:
We know that a rectangle has area = xy and perimeter = 2x + 2y
We want to use least amount of material to design the sandbox which means we want to minimize the perimeter which can be done by taking the derivative of perimeter and then setting it equal to 0.
So we have
xy = 16
y = 16/x
p = 2x + 2y
put the value of y into the equation of perimeter
p = 2x + 2(16/x)
p = 2x + 32/x
Take derivative with respect to x
d/dt (2x + 32/x)
2 - 32/x²
set the derivative equal to zero to minimize the perimeter
2 - 32/x² = 0
32/x² = 2
x² = 32/2
x² = 16
x =
ft
put the value of x into equation xy = 16
(4)y = 16
y = 16/4
y = 4 ft
So the dimensions are x = 4 ft and y = 4 ft in order to use least amount of material.
Verification:
xy = 16
4*4 = 16
16 = 16 (satisfied)
Answer: 11 hours and 25 minutes
Step-by-step explanation:
Since she left at 7:10 am you can add 50 minutes and you will get 8, then all the way to 6 pm is 10 hours. Now you just have 50 and 35 minutes that you havent added to the total yet so when you add those two together you get 85. But there isnt 85 minutes in a hour so you would have yo break it down and you would get 1 hour and 25 minutes. Add 1 hour and 25 minutes to 10 hours and you get 11 hours and 25 minute. I hope that helps!
Sorry if you didnt under stand my explanation.