Answer:
-7
Step-by-step explanation:
To find y, follow these steps:
4y - 2 (1 - y) = -44
First, distribute the -2 into the parenthesis:
4y - 2 + 2y = -44
The reason the 2y is positive is due to the fact that negative and negative cancel each other out and form a positive.
Now, combine like terms:
6y - 2 = -44
To get y, you need to isolate it from the constants. In order to do so, do the inverse relationship for the constant -2. To do this, add 2 to -44:
6y = -42
Now, divide six on both sides. You divide because six is currently being multiplied with y. Keep in mind that the 42 is still negative!
y = -7
Hope this helps!
Answer:
The common difference is 2
Step-by-step explanation:
The formula for an arithmetic sequence is
an = a1+d(n-1)
a1 = -5
a10 = 13
Substituting n=10 a10=13 and a1 =-5
13 = -5 +d (10-1)
13 = -5 +9d
Add 5 to each side
13+5 = -5+5 +9d
18 = 9d
Divide each side by 9
18/9 = 9d/9
2 =d
Answer:
x=26
Step-by-step explanation:
since the equation is vertical to 155 the equation would be
5x + 25 = 155 and then you would solve for x like this
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Answer:
x ≈ 14.30
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Trigonometry</u>
- sin∅ = opposite over hypotenuse
Step-by-step explanation:
<u>Step 1: Define variables</u>
∅ = 39°
opposite leg = 9
hypotenuse = x
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute: sin39° = 9/x
- Multiply <em>x</em> on both sides: xsin39° = 9
- Isolate <em>x</em>: x = 9/sin39°
- Evaluate: x = 14.3011
- Round: x ≈ 14.30
