<span>Simplifying
8x + 336 = 336 + -3x
Reorder the terms:
336 + 8x = 336 + -3x
Add '-336' to each side of the equation.
336 + -336 + 8x = 336 + -336 + -3x
Combine like terms: 336 + -336 = 0
0 + 8x = 336 + -336 + -3x
8x = 336 + -336 + -3x
Combine like terms: 336 + -336 = 0
8x = 0 + -3x
8x = -3x
Solving
8x = -3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '3x' to each side of the equation.
8x + 3x = -3x + 3x
Combine like terms: 8x + 3x = 11x
11x = -3x + 3x
Combine like terms: -3x + 3x = 0
11x = 0
Divide each side by '11'.
x = 0
Simplifying
x = 0</span>
Answer: I think it is 9
Step-by-step explanation: The parabola has a maximum because it is open down. The maximum is on the y axis.
Check the forward differences of the sequence.
If
, then let
be the sequence of first-order differences of
. That is, for n ≥ 1,

so that
.
Let
be the sequence of differences of
,

and we see that this is a constant sequence,
. In other words,
is an arithmetic sequence with common difference between terms of 2. That is,

and we can solve for
in terms of
:



and so on down to

We solve for
in the same way.

Then



and so on down to


Answer:

Step-by-step explanation:
By the Triangle Proportionality Theorem:

By cross-multiplication:

Distribute:

Subtract 12x from both sides:

Hence:

Answer:
11.1
Step-by-step explanation:
Use the Pythagorean Theorem to find the side.