Two towns, A and B, are 13.0 miles apart and located 8.0 and 3.0 miles east, respectively, of a long, straight highway. A construction company has a contract to build a road from town A to the highway and then to town B. Determine the length (to the nearest tenth of a mile) of the shortest road that meets these requirements.

At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get our expert's

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions.

A community for students.

Two towns, A and B, are 13.0 miles apart and located 8.0 and 3.0 miles east, respectively, of a long, straight highway. A construction company has a contract to build a road from town A to the highway and then to town B. Determine the length (to the nearest tenth of a mile) of the shortest road that meets these requirements.

Calculus1
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions

@ganeshie8 can you draw it picture,so that i can solve?
|dw:1436781239171:dw|
|dw:1436782203008:dw|

Not the answer you are looking for?

Search for more explanations.

Ask your own question

Other answers:

I think we need to find the minimum length of that road
did they told us that the road should meet at the same point to highway?
@ManhattanProject do you have any idea about answer?
|dw:1437272681909:dw| now express distance of 2 roads as function of x \[f(x) = \sqrt{x^2 +8^2} + \sqrt{(12-x)^2 +3^2}\] minimize function by taking derivative and setting equal to 0 (use chain rule) \[f'(x) = \frac{x}{\sqrt{x^2+64}} - \frac{12-x}{\sqrt{(12-x)^2 + 9}} = 0\] Solve for x first square both sides \[\frac{x^2}{x^2+64} = \frac{(12-x)^2}{(12-x)^2 +9}\] \[x^2 (x^2 -24x +153) = (x^2 +64)(x^2 -24x+144)\] \[57x^2 -(64)(24)x +(64)(144) = 0\] \[19x^2 - 512x+3072 = 0\] At this point just plug it into quadratic formula (remember x < 12) \[x = 9.02\] Now plug this value into f(x) to get length of shortest road

Not the answer you are looking for?

Search for more explanations.

Ask your own question