98 cubic feet
Step-by-step explanation:
1/3 × 6 × 7 × 7 = 98
Hope this helps!
Answer:
Step-by-step explanation:
So, TML = 104, right?
Now, we know that TMV + LMV is 104.
We also know that TMV is 60.
Sooooo
LMV is simply 104 - 60 = 54
LMV = 54 :)
Step-by-step explanation:
If the parabola has the form
(vertex form)
then its vertex is located at the point (h, k). Therefore, the vertex of the parabola

is located at the point (8, 6).
To find the length of the parabola's latus rectum, we need to find its focal length <em>f</em>. Luckily, since our equation is in vertex form, we can easily find from the focus (or focal point) coordinate, which is

where
is called the focal length or distance of the focus from the vertex. So from our equation, we can see that the focal length <em>f</em> is

By definition, the length of the latus rectum is four times the focal length so therefore, its value is

ANSWER
By simplifying the left hand side using the Pythagorean Identity.
EXPLANATION
The given identity is

Take the left hand side and simplify to get the right hand side.

Collect LCM for the denominators.

Recall the Pythagorean Identity.

This implies that:

We substitute this to get,


Answer:
(x + 8)(x - 2)(4x - 1)
Step-by-step explanation:
Given that x = - 8 is a zero then (x + 8) is a factor
Divide f(x) by (x + 8) using Synthetic division
- 8 | 4 23 - 70 16
↓ - 32 72 - 16
---------------------------------
4 - 9 2 0
Quotient = 4x² - 9x + 2 = (x - 2)(4x - 1)
Thus
f(x) = (x + 8)(x - 2)(4x - 1)