12m right? If I'm not mistaken you would add the number and ad on the variable afterwards.
Answer:
x = -1 ± √109
Step-by-step explanation:
2x • 3x + (2 • 3)x + 6x = 648
According to PEMDAS (parentheses/exponents | multiplication/division | addition/subtraction), we should solve the parentheses first.
(2 • 3) = 6
Now we have:
2x • 3x + (6)x + 6x = 648
Now let's multiply.
2x • 3x = 6x²
6 • x = 6x
Now we have.
6x² + 6x + 6x = 648
Combine like terms.
6x² + 12x = 648
Let's factor out a 6.
6(x² + 2x) = 648
Divide both sides by 6.
x² + 2x = 108
Let's use completing the square.
Our equation is in a² + bx = c form.
Divide b by 2.
2/2 = 1
Then square it.
1² = 1
Add 1 to both sides.
x² + 2x + 1 = 108 + 1
Simplify.
x² + 2x + 1 = 109
Now we want to factor the left side. A shortcut is just to use b/2.
(x + 1)² = 109
Take the square root of both sides.
x + 1 = ±√109
The square root is as simplified as possible.
Subtract 1 from both sides.
x = -1 ± √109
Hope this helps!
Answer:
2 2/5 and 2 2/100
Step-by-step explanation:
The answers range in many ways! Whatever floats your boat to pick!
Hope this helped! :)
Answer:
The answer to your question is CD = 4
Step-by-step explanation:
Data
AD = 8
BD = 2
CD = ?
Process
Use proportions to solve this problem. Compare triangle ACD and triangle CDB.
Large triangle CD/AD
Small triangle BD/CD
Equal both proportions
CD/BD = AD/CD
-Solve for CD
CD² = AD x BD
-Substitution
CD² = 8 x 2
-Simplification
CD² = 16
-Result
CD = 4
