Step-by-step explanation:
complementary angles sum up to 90
Answer:
7.86 km
Step-by-step explanation:
Let x represent the distance point P lies east of the refinery. (We assume this direction is downriver from the refinery.)
The cost of laying pipe to P from the refinery (in millions of $) will be ...
0.5√(1² +x²)
The cost of laying pipe under the river from P to the storage facility will be ...
1.0√(2² +(9-x)²) = √(85 -18x +x²)
We want to minimize the total cost c. That total cost is ...
c = 0.5√(x² +1) +√(x² -18x +85)
The minimum value is best found using technology. (Differentiating c with respect to x results in a messy radical equation that has no algebraic solution.) A graphing calculator shows it to be at about x ≈ 7.86 km.
Point P should be located about 7.86 km downriver from the refinery.
Answer:
77
Step-by-step explanation:
I got it right on my question
Answer:
Step-by-step explanation:
3/(x-2) - 2/(x+3) = 1....multiply everything by (x-2)(x+3)
3/(x-2) * (x-2)(x+3) - 2/(x+3) * (x-2)(x+3) = 1(x-2)(x+3)
3(x+3) - 2(x-2) = 1(x-2)(x+3)
3x + 9 -2x + 4 = (x-2)(x+3)
x + 13 = x^2 + x - 6
x^2 - x + x - 6 - 13 = 0
x^2 - 19 = 0
x^2 = 19....take sq rt of both sides
sqrt(x^2) = sqrt 19
x = sqrt 19 and x = - sqrt 19 <====