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:
26.3 grams
Step-by-step explanation:
36% = 36/100 = 0.36
73 * 0.36 = 26.28 grams ≈ 26.3 grams
629.20/520=1.21
Powerof6V1.21= 1.0323
Rate of interest 3.23
9514 1404 393
Answer:
x = 15
Step-by-step explanation:
<u>Given</u>:
∠1 + ∠2 = 90°
∠1 = 45°
∠2 = 3x°
<u>Find</u>:
x
<u>Solution</u>:
Using the given values in the given equation, we have ...
45° +3x° = 90°
15 + x = 30 . . . . . . divide by 3°
x = 15 . . . . . . . . . . . subtract 15
<h2>
Greetings!</h2>
Answer:
B and E
Step-by-step explanation:
The rules of indicies states:
÷ =
So ÷ = =
So that means B is one of the correct answers.
To find the other correct value, you can divide the two fractions as stated in the question:
by =
81 is equivalent to 3⁴
So that means E is also correct.
<h2>Hope this helps!</h2>