Answer:
3:1
Step-by-step explanation:
If John makes 3, Then Kaleel makes 9, If John makes 1, Then Kaleel makes 3.
Answer:
The answer is A :)
Step-by-step explanation:
Answer:
A, C
Step-by-step explanation:
When you put the equation y = x -12 into a TI-84 calculator (because it has graph) and go to the table you can see that B,D,E don’t have the same y-axis even though their x-axis is the same but the y-axis isn’t, therefor A and C is the correct answer.
Sorry not the best explanation but I hope it helps
Answer:
a) (4,5)
b) (0,-3)
Step-by-step explanation:
We have to perform the following reflection over given ordered pair.
a) Reflect the ordered pair (-4,5) across the y-axis
Reflection over y-axis:

Thus, (-4,5) will be reflected over y-axis as

b) Reflect the ordered pair (0,3) across the y-axis
Reflection over x-axis:

Thus, (0,3) will be reflected over x-axis as

Answer:
The volume of the solid is 
Step-by-step explanation:
In this case, the washer method seems to be easier and thus, it is the one I will use.
Since the rotation is around the y-axis we need to change de dependency of our variables to have
. Thus, our functions with
as independent variable are:
For the washer method, we need to find the area function, which is given by:
![A=\pi\cdot [(\rm{outer\ radius)^2 -(\rm{inner\ radius)^2 ]](https://tex.z-dn.net/?f=A%3D%5Cpi%5Ccdot%20%5B%28%5Crm%7Bouter%5C%20radius%29%5E2%20-%28%5Crm%7Binner%5C%20radius%29%5E2%20%5D)
By taking a look at the plot I attached, one can easily see that for a rotation around the y-axis the outer radius is given by the function
and the inner one by
. Thus, the area function is:
![A(y)=\pi\cdot [(\sqrt{y} )^2-(y^2)^2]\\A(y)=\pi\cdot (y-y^4)](https://tex.z-dn.net/?f=A%28y%29%3D%5Cpi%5Ccdot%20%5B%28%5Csqrt%7By%7D%20%29%5E2-%28y%5E2%29%5E2%5D%5C%5CA%28y%29%3D%5Cpi%5Ccdot%20%28y-y%5E4%29)
Now we just need to integrate. The integration limits are easy to find by just solving the equation
, which has two solutions
and
. These are then, our integration limits.
