(2x + 4) — (-x + 5) PLEASE HELP
1 answer:
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Answer:
2.45 gallons of gasoline were in the tank before.
Step-by-step explanation:
Consider the provided information.
The tank can hold gallons of gasoline when completely full. He had some gas in the tank and added 10.3 gallons of gasoline to fill it completely.
We need to find: How many gallons of gasoline were in the tank before Javier added some?
For this, we need to subtract added gallons of gasoline from the capacity of the tank.
Hence, 2.45 gallons of gasoline were in the tank before.
Length: 2w + 59
width: w
diagonal: (2w + 59) + 2 = 2w + 61
Length² + width² = diagonal²
(2w + 59)² + (w)² = (2w + 61)²
(4w² + 118w + 3481) + w² = 4w² + 122w + 3721
5w² + 118w + 3481 = 4w² + 122w + 3721
w² + 118w + 3481 = 122w + 3721
w² - 4w + 3481 = 3721
w² - 4w - 240 = 0
a = 1, b = -4, c = -240
w =
=
=
=
=
=
since width cannot be negative, disregard 1 - 2√61
w = 1 + 2√61 ≈ 16.62
Length: 2w + 59 = 2(1 + 2√61) + 59 = 2 + 4√61 + 59 = 61 + 4√61 ≈ 92.24
Answer: width = 16.62 in, length = 92.24 in