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IgorC [24]
3 years ago
8

If NO = 17 and NP = 5x -6, find the value of x. Then find NO and OP.

Mathematics
1 answer:
yan [13]3 years ago
7 0
Well lets assume that NO = NP. If this is the case then 17 = 5x - 6. We then want to solve for x. So add 6 to each side, this equals 23 = 5x. I do not know if it is suppose to be a decimal, but I will do it anyway. Divide 23 by 5 which is 4.6. So x = 4.6. Now plug this into x. So NO = 17 and NP = 17. This is the only way I see possible to solve this problem. Let me know if it was correct please.
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Answer:

diameter of the pizza = 21.88 centimeters

Step-by-step explanation:

Given:

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where

C = cost of the pizza

d = diameter of the pizza

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12 = d^2 – 2d + 447

d^2 - 2d = 447 - 12

d^2 - 2d = 435

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Solve the quadratic equation using formula

a = 1

b = -2

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d = -b +or- √b^2 - 4ac / 2a

= -(-2) +or- √(-2)^2 - (4)(1)(-435) / 2(1)

= 2 +or- √4 - (-1740) / 2

= 2 +or- √4 + 1740 / 2

= 2 +or- √1744 / 2

= 2 +or- 4√109 / 2

= 2/2 +or- 4√109/2

= 1 +or- 2√109

d = 1 + 2√109 or d = 1 - 2√109

= 1 + 2(10.44) or d = 1 - 2(10.44)

= 1 + 20.88 or d = 1 - 20.88

d = 21.88 or -19.88

diameter of the pizza = 21.88 centimeters

Therefore, the estimated diameter of the pizza can not be negative. So, diameter of the pizza = 21.88 cm

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