1/2(4x+10)=2 i need to get x

1 answer:

8 0

First you need to distribute the 1/2 by the numbers in the parentheses
1/2•4x and 1/2•10 which equals
2x+5=10

next, you will need to get the 2x by itself so you would do
2x+5=10
-5=-5
2x=5

finally, you divide the 2 by the 5 so you can get the x by itself
2x divided by 5

the answer is: x=2.5

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Which number is the same as for the power of negative 1 * 2 ^ 8 / 4 ^ -2

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3 years ago

Help on #97! Need to know how to work it out using polynomial equations!

olganol [36]

Area = length * width
length = (2 * width) - 1
$10 = l*w\\ 10=(2w-1)*w\\ 10=2w^{2}-w\\ 2w^{2}-w-10=0\\ (2w-5)(w+2)=0\\\\ 2w-5=0\\ 2w=5\\ w=\frac{5}{2}=2.5\\ w+2=0\\ w=-2$
Since length cannot be negative, w = -2 is not a solution. Thus, $\frac{5}{2}~ft$ is your width.
Since length = 2 * width - 1, plug in width:
$l=2(\frac{5}{2})-1\\ l=5-1\\ l=4~ft$