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frutty [35]
3 years ago
6

Use the quadratic formula to solve x^2-4x+3. Show your work. Then describe the solution

Mathematics
1 answer:
mars1129 [50]3 years ago
4 0
Quadratic formula is x=(-b+-sqrt(b^2-4ac))/(2a)

a= 1, b=-4, and c=3

Therefore, x=(-(-4)+-sqrt((-4)^2-4(1)(3))/(2(1))

Solve for both the plus and minus equations; the answers will be the roots to the quadratic equation.
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Veronika [31]
The definition of the tangent function tells you
   tan(angle) = (300 ft) / (distance to mountain)
This equation can be rearranged to
   (distance to mountain) = (300 ft) / tan(angle)

For the far end of the river,
   distance to far end = (300 ft) / tan(24°) ≈ 673.8 ft

For the near end of the river
   distance to near end = (300 ft) / tan(40°) ≈ 357.5 ft

Then the width of the river can be calculated by finding the difference of these distances:
   width of river = distance to far end - distance to near end
   width of river = 673.8 ft - 357.5 ft
   width of river = 316.3 ft

The appropriate answer choice is
   316 ft.
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