Answer:
Step-by-step explanation:
Let us consider the equation
For a quadratic equation in a standard form, , the axis of symmetry is the vertical line
.
Here in this case we have,
Putting the values we get,
We can see that the axis of symmetry is x=3 and the graph is giving minimum at x=3.
Therefore, the required equation is . Refer the image attached.
Answer:
D. 424 m³
Step-by-step explanation:
Use the formula for the volume of a cylinder
V = r²h
Plug in the values we know
V = (3.14)(3²)(15)
V = 423.9 m³
This is closest to answer choice D, 424 m³
So, D is correct
This is one pathway to prove the identity.
Part 1
Part 2
Part 3
As the steps above show, the goal is to get both sides be the same identical expression. You should only work with one side to transform it into the other. In this case, the left side transforms while the right side stays fixed the entire time. The general rule is that you should convert the more complicated expression into a simpler form.
We use other previously established or proven trig identities to work through the steps. For example, I used the pythagorean identity in the second to last step. I broke the steps into three parts to hopefully make it more manageable.