The equation for the function is
Explanation:
The equation for the function that passes through the points and
The equation of the line that passes through the points and is given by
where m is the slope and it can be determined using the formula,
Substituting the values of x and y in the slope formula, we have,
Simplifying, we get,
Thus, the slope is m=1.
Substituting the values in the equation , we have,
Multiplying the terms within the bracket,
Adding on both sides of the equation,
Thus, the equation for the function is
V = 79 mph is the rate of the train
d = 395.1 mi the distance traveled
t = the time of the travel
Since speed = distance/time we have:
v = d/t
Solving for t we have:
t = d/v
Plug the values:
t = 395.1/79
t = 5 hr approximately
The train will need 5 hours
The slope is the change in Y over the change in X.
Slope = (0 - 1) / 4-2)
= -1/2
The slope is -1/2
Answer:
<u>ST</u><u>=</u><u>6</u>
Step-by-step explanation:
Since the question said they were approximate it means that the difference between every side's length is the amount added to the smaller one to get the bigger triangle. You find the difference (which is 2,by the way (7-5 or OC-OU)) of the given side's and relate their similarities (in this case we'll add, so it's the difference plus the other side). We've been given TU as 4 so ST=TU+2, ie. 4+2=ST