Answer:

Step-by-step explanation:
The length of the base is the distance between the points 4+2i and 10+4i, so

The middle point of the base is placed at point

The length of the height is the distance between the points 5+9i and 7+3i

So, the area of the triangle is

For part A, The answer is that the car gets better gas mileage. We can see it from the graph that the number of gallons used is on the X axis, and the distance traveled using those number of gallons is on the Y axis. The easiest way to compare would be to look at the 1 gallon of gas. You can see that you can travel 25 miles on 1 gallon of gas. The truck on the other hand will get you 18 miles per gallon. Imagine putting 1 in for X, the Y value would be 18 if you did this. The graph just shows us a visual way of saying the same thing. To determine how much farther the car with a girl on 8 gallons of gas, you would just multiply 8 by 25 for the number of miles traveled by the car. You would multiply 8 by 18 to find the number of miles traveled for the truck. The answers are 200 miles for the car and 144 miles for the truck. 200-144=56 miles farther for the car.
Hey!
Weight of small box = 5 lb. x no. of small boxes total weight = 5*x
Weight of Large boxes = 12 lb. y no. of large boxes total weight = 12*y
Total weight = 5x + 12y.
Since total weight carrying capacity of shelf is 80, thus the inequality becomes:
5x + 12y Less than or equal to 80.
(a) satisfies the inequality.
(b) satisfies the inequality.
Hope my answer helps!