Answer:
I would assume they drove a car.
If so, then Dallas to Houston: 239.3 miles.
Then, Houston to Austin: 165.3 miles
Shortest route back to Texas: 913.5.
<u>I used g o o g l e m a p s to find my answer.</u>
Now add the numbers up:
239.3+165.3+913.5= 1318.1
They traveled 1318.1 miles in all.
The main identity you need is the double angle one for cosine:

We get

Expand the numerator to apply the identity again:




Finally, make use of the product identity for cosine:

so that ultimately,


Answer:
length = 8; width = 3
perimeter = 22
area = 24
Step-by-step explanation:
L(- 1,3), M(2,3)
LM = |-1 - 2| = 3
M(2,3), N(2, - 5)
MN = |-5 - 3| = 8
length = 8; width = 3
perimeter = 2(L + W) = 2(8 + 3) = 22
area = LW = 8 × 3 = 24