first you top off your gas tank in olympia. you then drive your hummer to spokane, traveling 319.4 miles. you fill up your gas tank with 28.68 gallons of premium gasoline that costs $2.89 per gallon. what is your gas mileage in miles per gallon and how much does it cost to drive just one mile in your hummer (unit rate of cost per mile)?

Step-by-step explanation:

The distance that you travelled in your hummer between Olympia and Spokane is 319.4 miles.

You fill up your gas tank with 28.68 gallons of premium gasoline that costs $2.89 per gallon. This means that the total cost of premium gasoline that you bought would be

2.89 × 28.68 = $82.8852

your gas mileage in miles per gallon is 319.4/28.68 = 11.14 miles per gallon.

Therefore, if it costs $82.8852 to drive 319.4 miles,

then the cost of just one mile in your hummer would be

82.8852/319.4 = $0.26 per mile.

the area of a triangle is determined by the formula: base x height * 1/2

you'll need to assign a base to the triangle. based on the vertices given, the simplest base would be the line segment from (-2,1) to (2,1). the distance between any two numbers is found by just subtracting them. here, you should subtract the x values to find the distance of this side.

2 - (-2) = 4.

so the distance (aka the length of the base) is 4. the height of the triangle is the distance between the base and the highest point on the triangle which is (3,4). we should subtract the y values this time to find the height/distance.

4 - 1 = 3

so the height is 3.

base = 4

height = 3

hope this if needed hmu