Answer:
The eastbound train travels at 92 mph and the westbound train travels at 96 mph.
Step-by-step explanation:
We know that Velocity = distance / time
If the eastbound train travels at x miles per hour, the westbound train travels at x + 4 mph.
After 3.5 hours, they are 658 miles apart. If we solve for distance the formula given above we have: Distance = velocity x time. We have that the total distance between both trains is 658 miles.
Substituting the values of the problem and solving for x we have
Thus, the eastbound train travels at 92 mph and the westbound train travels at 96 mph.
Answer:
Option 2: (1,0) is the correct answer
Step-by-step explanation:
Given inequality is:
y>-5x+3
In order to find which point is solution to the given inequality we'll put the point one by one in the inequality. If the point satisfies the inequality, then the point is the solution of the inequality.
Putting (0,3) in inequality
Putting (1,0) in inequality
Putting (-3,1) in inequality
Putting (-1,-2) in inequality
The inequality is true for (1,0)
Hence,
Option 2: (1,0) is the correct answer
Step 1
<u>First situation</u>
when a ladder is leaning against a wall
Let
x-------> the distance of the bottom of the ladder from the wall
L-------> the length of the ladder
<u>Find the length of the ladder</u>
Applying the Pythagorean Theorem
------> equation
Step 2
<u>Second situation</u>
when the ladder will be lying flat on the ground
<u>Find the length of the ladder</u>
In this situation the length of the ladder is equal to
square both sides
------> equation
Step 3
equate equation and equation
therefore
<u>the answer is</u>
the length of the ladder is
see the attached figure to better understand the problem
