Before embarking on a flight, the pilot of a private airplane plans the best route to the final
destination. suppose the pilot determines one route covers a distance of miles and another covers a distance of [tex] \sqrt{605} miles
a. a. write an expression to represent the difference between the two distances of
each route. then simplify the expression, keeping your answer in radical form.
show all steps needed to write your answer in simplest form.
b. b. use a calculator to change the answer to decimal form. round the answer to the
nearest tenth. using this decimal number, write a sentence to explain the
meaning of the answer in this situation.

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3