Answer:
x = 4 + sqrt(5) or x = 4 - sqrt(5)
Step-by-step explanation:
Solve for x:
(x - 4)^2 = 5
Take the square root of both sides:
x - 4 = sqrt(5) or x - 4 = -sqrt(5)
Add 4 to both sides:
x = 4 + sqrt(5) or x - 4 = -sqrt(5)
Add 4 to both sides:
Answer: x = 4 + sqrt(5) or x = 4 - sqrt(5)
First simplify like terms (things with the same letter):
3g + 7g + 8 = -10 + g
10g + 8 = -10 + g
Next we should take g off both sides:
9g + 8 = -10
Next isolate 9g by taking 8 off both sides:
9g = -18
Next divide both sides by 9 to find the value of g:
g = -2
Solution of a linear inequality
The solution of a linear inequality is the ordered pair that is a solution to all inequalities in the system and the graph of the linear inequality is the graph of all solutions of the system. Graph one line at the time in the same coordinate plane and shade the half-plane that satisfies the inequality.
9514 1404 393
Answer:
Step-by-step explanation:
If you consider matched parentheses to identify the contents of a "bag", the multiplier outside parentheses tells you how many bags you have. When you use the distributive property, you effectively dump all those bags on the table.
Here, the expression 4(6v +4) tells you there are 4 bags and each one contains 6v and 4. When you open them all up, you have ...
4(6v +4) = 6v +6v +6v +6v +4 +4 +4 +4
Of course, we can use multiplication to simplify repeated addition, so we can also write this as ...
4(6v +4) = 4·6v +4·4 = 24v +16
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