An oil company wishes to run a pipe from point a on the shore to point b on the island (see figure). the island is 5 miles from shore. it costs $1,000 per mile to run cable on land and $2,000 per mile underwater. assume that the cable starts at point a and runs along the shoreline, then angles at point d and runs underwater to the island. if the total cost is represented by c(x) = 1000(8 - x) + 2000
x2 + 25
, find the total cost if seven miles of the pipe are underwater.
a) $11,005.58
b) $15,000.00
c) $15,266.55
d) $17,101.02

Plug into the calculator's grapher. Using the minimum feature, you'll find the minimum cost of laying the pipe is $16,660.

step-by-step explanation:

answer:   the paragraph proof is mentioned below.

step-by-step explanation:

given: in a δxwy where

such that, ∠wzx ≅ ∠yzx and zw≅zy

we have to prove that: segment zx is a perpendicular bisector of segment wy.

prove: since, zw≅zy ⇒ ∠wzy is a supplementary angle.

then, ∠wzy= 180°

⇒∠wzx + ∠yzx = 180° ( because xz divides ∠wzy into two parts)

but, ∠wzx ≅ ∠yzx ( given)

⇒∠wzy+∠wzy=180° ( by substitution)

⇒2∠wzy=180°

⇒∠wzy=90°

⇒∠wzy=∠yzx =90°

therefore, xz⊥wy where wz=zy

⇒zx is a perpendicular bisector of wy.