Answer:
= 3f + 8
Step-by-step explanation:
Given that:
= 2/3[3f+12]+f
By simplifying:
2/3 will be multiplied inside the bracket as follows:
= 2/3*3f + 2/3*12 + f
By cancelling the terms with each other we get:
= 2f + 24/3 + f
By simplifying the fraction we get:
= 2f + 8 + f
Adding like terms
= 3f + 8
This is the simplified expression.
i hope it will help you!
y = - 4x +3 when slope is -4
NOTE: Parallel lines have same slope.
For the line passing through point (-5, -6) the slope (m) = -4
Equation of that line:
(y - y1) = m (x -x1)
(y --6) = -4(x --5)
(y + 6) = -4(x + 5)
y + 6 = -4x -20
y = -4x -20 -6
y = -4x - 26
Answer:

Step-by-step explanation:
Given that,
The radius of the cone, r = 8 cm
The height of the cone, h = 16 cm
We need to find the volume of the cone. The formula for the volume of the cone is given by :

So, the volume of the cone is equal to
.
Answer:
Step-by-step explanation:
Given that rectangle has side length 23x13 feet.
When squares of side x are cut from all the four sides we have dimensions as
23-2x and 13-2x and height x
Volume 

Use derivative test
First derivative V'(x) 
Equate I derivative to 0
We get approximate value of x = 2.671, 9.329
Since width is 13 feet it cannot be 9.329
Hence x = 2.671
V"(x) = -80 <0
So maximum volume is

Answer:
47/6 = 7 5/6
Step-by-step explanation:
Take 47 and divide by 6
6*7 = 42
47-42 = 5
6 goes in 7 times with 5 left over
The left over part goes over the denominator
7 5/6