Answer:
2a²
Step-by-step explanation:
Pair 'like' terms with 'like' terms, ie numbers go with numbers, and 'a's go with 'a's.
Lets deal with the top of the fraction first:
4ax3a³
Rearrange it so you have numbers beside numbers and 'a's beside 'a's:
(4x3)x(axa³)
12x(a⁴) <em>(because nᵃxnᵇ=nᵃ⁺ᵇ)</em>
12a⁴
Now, instead of (4ax3a³)/6a², we have 12a⁴/6a²
First divide the numbers: 12/6 =2
Now divide the 'a' parts: a⁴/a²=a² <em>(because nᵃ/nᵇ=nᵃ⁻ᵇ)</em>
Now we have 2a²
Answer:
26.25 gallons
Step-by-step explanation:

21000 = 800x
x = 26.25 gallons
Answer:
a = 
b= 4
Step-by-step explanation:
It's a 30-60-90 triangle based on the given picture. A right triangle too
Use sine, cosine, and tangent to solve for the side.
To find b, you can use sin(30) = b/8 because sin(angle) = opposite/hypotenuse.
OR you can use the rule for 30-60-90 triangle, which is x for short leg, 2x for hypotenuse, and
for long leg
So either way, b = 4
To find a, you can use cos(30) = a/8 because cos(angle) = adjacent/hypotenuse.
OR you can use the same rule, 30-60-90 triangle to save time
a will end up = 
Answer:
The answer to your question is p = -2 q = -6 remainder = -10
Step-by-step explanation:
Data
Dividend = 8x⁴ - 2x² + 6x - 7
Divisor = 2x + 1
Quotient = 4x³ + px² - qx + 3
Process
1.- Divide using long division
4x³ - 2x² + 3
2x + 1 8x⁴ + 0x³ - 2x² + 6x - 7
- 8x⁴ - 4x³
0 - 4x³ - 2x²
+ 4x³ +2x²
0 0 + 6x - 7
-6x - 3
0 - 10 Remainder
px² = -2x² then p = -2
-qx = 6x then q = -6