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padilas [110]
2 years ago
12

2. Sheldon was doing a science experiment about temperature. He first measured the

Mathematics
1 answer:
Burka [1]2 years ago
7 0

Answer:

Temperature dropped by 28°C in two hours

Step-by-step explanation:

<u>Initial measurement:</u>

  • t = 17°C

<u>Measurement 2 hours later:</u>

  • t = - 11°C

<u>The difference:</u>

  • -11°C - 17°C = -28°C

Temperature dropped by 28°C in two hours

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<img src="https://tex.z-dn.net/?f=x%5E%7B2%7D%20-22x%3D10%5C%5C" id="TexFormula1" title="x^{2} -22x=10\\" alt="x^{2} -22x=10\\"
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Answer:

Step-by-step explanation:

x^2 - 22x = 10

Next step is to complete the square on the left hand side of the equation and it would be balanced by adding the same number to the right side of the equation. It becomes

x^2 - 22x + (22/2)^2 = 10 + (22/2)^2

x^2 - 22x + (11)^2 = 10 + (11)^2

x^2 - 22x + (11)^2 = 10 + 121

x^2 - 22x + (11)^2 = 131

x^2 - 22x + 121^2 = 131

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Taking square root of both the left hand side and the right hand side of the equation, it becomes

x - 11 = ±√131

x - 11 = ±11.45

Adding 11 to the left hand side and the right hand side of the equation, it becomes

x - 11 + 11 = ±11.45 + 11

x = 11.45 + 11 or x = -11.45 + 11

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3 years ago
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