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MArishka [77]
3 years ago
13

Please I need someone to help my assignment​

Mathematics
1 answer:
Nadusha1986 [10]3 years ago
4 0
(x-4)² + (x-2)² = x²

(x² - 8x + 16 ) + (x² - 4x + 4) = x

2x² -12x + 20 = x

2x²-12x + 20 - x = 0

2x² - 13x + 20 = 0

(2x-5) (x-4) = 0

2x-5 = 0

2x = 5

x = ⁵/₂


x-4 = 0

x = 4



so x₁ = ⁵/₂ , and x₂ = 4
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Step-by-step explanation:

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1. We assume, that the number 92.4 is 100% - because it's the output value of the task. 
<span>2. We assume, that x is the value we are looking for. </span>
<span>3. If 92.4 is 100%, so we can write it down as 92.4=100%. </span>
<span>4. We know, that x is 150% of the output value, so we can write it down as x=150%. </span>
5. Now we have two simple equations:
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6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 150% of 92.4

92.4/x=100/150
<span>(92.4/x)*x=(100/150)*x       - </span>we multiply both sides of the equation by x
<span>92.4=0.666666666667*x       - </span>we divide both sides of the equation by (0.666666666667) to get x
<span>92.4/0.666666666667=x </span>
<span>138.6=x </span>
x=138.6

<span>now we have: </span>
<span>150% of 92.4=138.6</span>
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