Answer:
A line with a slope of 0 is horizontal, while a line with no slope is completely vertical.
Step-by-step explanation:
Answer:
y = 5x
Step-by-step explanation:
The equation for direct variation is y = kx, where k is the factor of variation. So we know that y and x must fit into this formula.
They've given us a y and x value to solve for k.
y = kx
15 = 3k
15/3 = k
<u>k = 5</u>
Plug k back into our equation.
y = 5x
Answer:
The maximum volume of the box is:
Step-by-step explanation:
Given
Required
The maximum volume of the box
Let
The surface area of the box is:
So, we have:
Divide both sides by 2
Make b the subject
The volume of the box is:
Substitute:
Spit
Differentiate V with respect to a
Set to calculate a
Collect like terms
Multiply both sides by 2
Solve for a
Recall that:
Apply law of indices
So:
Area of a circle equation:
A=(3.14)r^2
40(3.14)=(3.14)*r^2
40=r^2
r= square root of 40
simplified radius is 2 times root 10
(See the photo I attached for the work)
Check the picture below.
notice, the cube is just 6 squares, each one of 7x7.
so, just get the area of each of the squares, sum them up, and that's the surface area of the cube.