The area is(s^2)/2-(900/5)/2=90
<span>4 hours after they leave Houston.
Easiest way to solve this problem is to first calculate the relative velocities of the two buses. Since they're traveling in opposite directions, you simply need to add their respective velocities to see what the relative velocity is between them.
55 mi/h + 45 mi/h = 100 mi/h
That means that the buses will increase their distance apart from each other by 100 miles for every hour that they travel. So divide 400 miles by 100 miles/hour
400 miles / 100 miles/hour = 4 hours.
So 4 hours after the buses start moving, they will be 400 miles apart from each other.</span>
Answer:
y = (-2/3)x + 5/6
Step-by-step explanation:
The general structure of a line in slope-intercept form is:
y = mx + b
In this form, "m" represents the slope and "b" represents the y-intercept. You have been given the value of "m". To find the value of "b", you can plug the slope and the values from the point (2, -1/2) into the general equation.
m = -2/3
Point (2, -1/2):
x = 2 and y = -1/2
y = mx + b <----- Slope-intercept form
y = (-2/3)x + b <----- Insert -2/3 in "m"
-1/2 = (-2/3)(2) + b <----- Insert "x" and "y" values from point
-1/2 = -4/3 + b <----- Multiply -2/3 and 2
-3/6 = -8/6 + b <----- Give the fractions common denominators
5/6 = b <----- Add 8/6 to both sides
Thus, the equation of the line is:
y = (-2/3)x + 5/6
Answer: 1875
Hope this helps!
