Answer:C 2(3n + 12)
Step-by-step explanation:
2 x 3n = 6n
2 x 12 = 24
Answer:
6
Step-by-step explanation:
So, to start answering this, lets recall the formula for a rectangles volume:
This formula is :
V=h*w*l
Lets plug in what we know, and solve for the missing variable.
We know that height(h) is 7.
We know that width(w) is 9.
We know that volume(V) is 378.
We are missing length(l)
So:
378=7*9*l
To find length(l), we must iscolate it.
To do this, we must get rid of the 7 and 9.
So lets start by dividing 378 by 9:
378/9=7*9/9*l
=
42=7*l
Now lets do the same thing with the 7 to iscolate l:
42/7=7/7*l
=
6=l
So our missing length(l) is 6.
Answer:
l = 6
Hope this helps!
Answer:
k = 13The smallest zero or root is x = -10
Step-by-step explanation:
you can write "x^2" to mean "x squared"
f(x) = x^2+3x-10
f(x+5) = (x+5)^2+3(x+5)-10 ... replace every x with x+5
f(x+5) = (x^2+10x+25)+3(x+5)-10
f(x+5) = x^2+10x+25+3x+15-10
f(x+5) = x^2+13x+30
Compare this with x^2+kx+30 and we see that k = 13
Factor and solve the equation below
x^2+13x+30 = 0
(x+10)(x+3) = 0
x+10 = 0 or x+3 = 0
x = -10 or x = -3
The smallest zero is x = -10 as its the left-most value on a number line.
Answer:
Answer Cone Z and Cylinder Y.
Step-by-step explanation:
The relationship between the volume of the cone and the volume of the cylinder with the same height and same base is the volume of the cone is 1/3 of the volume of the cylinder.
The formula for the volume of the cone is :
V = 1/3π
h
The formula for the volume of the cylinder is :
V = πh
Let be the height of the cylinder Y. Therefore the height of the cone Z is 3h, when we put it into the formula we get :
V = 1/3π (3h) = πh
Therefore Cone Z and Cylinder Y have same volume.
