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Setler79 [48]
4 years ago
12

how to solve and write three times a number s plus 4 times a number y is 1 more than 6 times the number s. solve for s

Mathematics
1 answer:
Rasek [7]4 years ago
3 0
3s+4y=1+6s
minus 3s both sides
4y=1+3s
minus 1
4y-1=3s
divide by 3
\frac{4y-1}{3} =s
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Ok, I'm going to start off saying there is probably an easier way of doing this that's right in front of my face, but I can't see it so I'm going to use Heron's formula, which is A=√[s(s-a)(s-b)(s-c)] where A is the area, s is the semiperimeter (half of the perimeter), and a, b, and c are the side lengths.

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x√10=√{[(x+x+1+2x-1)/2][({x+x+1+2x-1}/2)-x][({x+x+1+2x-1}/2)-(x+1)][({x+x+1+2x-1}/2)-(2x-1)]}

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<span>x√10=√(2x³-2x²)</span>

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<span>2x³-12x²=0</span>

<span>2x²(x-6)=0</span>

<span>2x²=0 or x-6=0</span>

<span>x=0 or x=6</span>

<span>Therefore, x=6 (you can't have a length of 0).</span>

6 0
3 years ago
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