Traveling at an average speed of 50 miles per hour, the trip from point a to point b takes 2 hours. traveling at an average speed of 40 miles per hour, the same trip takes 2.5 hours. if time, y, varies inversely with speed, x, how long will the trip take traveling at 45 miles per hour? round your answer to the nearest hundredth, if necessary. 2.22 2.25 4.44 4.50

18 units²

step-by-step explanation:

first let's find altitude bd using the distance formula

d = √((y₂ - y₁)² + (x₂ - x₁)²)

bd = √((0 - -3)² + (0 - 3)²)

bd = √18

given the placement of points a and c, we can denote that point d bisects segment ac.

we will call ac the base.

using the distance formula

ac = √((0 - 6)² + (-6 - 0)²)

ac = √72

knowing our base and our height, we can plug these into our triangle area formula

area = (b * h)/2

area = (√18 * √72) / 2

area = (√1296) / 2

area = 36 / 2

area = 18 units²