First, 
, and if we multiply 
by 
we get
Subtracting this from the numerator gives a remainder of
Next, 
, and if we multiply by 
we have
and subtracting this from the previous remainder, we end up with a new remainder of
Next, 
, and if we multiply by 
we get
Subtracting from the previous remainder, we get a new remainder of
which contains no more factors of 
, so we're done.
So,
Answer: one hundred eleven thousandths
Step-by-step explanation:
Answer:
y=2x-5
Step-by-step explanation:
First simplify: y-1=2x-6
y-1=2(x-3)
First simplify and distribute everything.
<u>y-1=2x-6</u>
So, x equals 2 because it got distributed into the numbers inside the parenthesis. Same with the 2 and -3. They multiplied to become -6.
Since it's y-1=2x-6, you can simplify it even more so the -1 goes to the other side and turns into positive 1.
<u>y - 1 (+ 1) = 2x -6 (+ 1)</u>
-1(+1)=0 which leaves just the variable y on the <em><u>left side</u></em>.
-6(+1)=-5 which leaves 2x-5 on the <em><u>right side</u></em>.
This results in y=2x-5. Hope this helped ;)
Answer:
Solution
p = {-3, 1}
Step-by-step explanation:
Simplifying
p2 + 2p + -3 = 0
Reorder the terms:
-3 + 2p + p2 = 0
Solving
-3 + 2p + p2 = 0
Solving for variable 'p'.
Factor a trinomial.
(-3 + -1p)(1 + -1p) = 0
Subproblem 1
Set the factor '(-3 + -1p)' equal to zero and attempt to solve:
Simplifying
-3 + -1p = 0
Solving
-3 + -1p = 0
Move all terms containing p to the left, all other terms to the right.
Add '3' to each side of the equation.
-3 + 3 + -1p = 0 + 3
Combine like terms: -3 + 3 = 0
0 + -1p = 0 + 3
-1p = 0 + 3
Combine like terms: 0 + 3 = 3
-1p = 3
Divide each side by '-1'.
p = -3
Simplifying
p = -3
Subproblem 2
Set the factor '(1 + -1p)' equal to zero and attempt to solve:
Simplifying
1 + -1p = 0
Solving
1 + -1p = 0
Move all terms containing p to the left, all other terms to the right.
Add '-1' to each side of the equation.
1 + -1 + -1p = 0 + -1
Combine like terms: 1 + -1 = 0
0 + -1p = 0 + -1
-1p = 0 + -1
Combine like terms: 0 + -1 = -1
-1p = -1
Divide each side by '-1'.
p = 1
Simplifying
p = 1
Solution
p = {-3, 1}
Rectangle on the top: 3a^4b^2
Second: 35x^6y^8z^2
Square: 108x^8y^2
