The park is 6 miles due west of your house, and the library is 11 miles north of your house. how far is the shortest distance from the park to the library? round to the nearest half mile.

Step-by-step explanation:

Given that the park is 6 miles due west of your house, and the library is 11 miles north of your house.

Thus the park and library forms the legs of a right triangle with shortest distance being the hypotenuse (provided there are no buildings in between)

We can use pythagoren theorem to find the shortest distance i.e. hypotenuse.

Shortest distance^2 =

We find that square root is 14.03

Thus shortest distance is 14 miles.

it's d.

step-by-step explanation:

because: -1(4x + 1y) +2 (1x-3y) distribute each number into the parenthesis.

then you would get: -4x - 1y + 2x -6y combine like terms

and get: 2x -7y

hope my answer has you if not then i'm sorry.

hope this !

step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.  

the distance y is the side opposite to angle x in the right triangle.   use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)