False - following the formula to find sum of all interior angles, , with <em>n</em> representing the number of sides, we can see that for a hexagon there's a sum of
degrees. Then, if we broke it into 6 congruent triangles, we can see that 720/6 = 120, which is not the sum of the interior angles of a triangle.
Let be the speed of train A, and let's set the origin in the initial position of train A. The equations of motion are
where are the positions of trains A and B respectively, and t is the time in hours.
The two trains meet if and only if , and we know that this happens after two hours, i.e. at
Solving this equation for v we have
So, train A is travelling at 105 km/h. This implies that train B travels at
Answer:
Part 1) The ordered pair is (0,0)
Part 2) The ordered pair is (-2,-4)
Part 3) The ordered pair is (4,8)
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
In this problem we have a direct variation
Complete the ordered pairs
Part 1) we have (0,?)
For x=0
Substitute in the equation and solve for y
therefore
The ordered pair is (0,0)
Part 2) we have (-2,?)
For x=-2
Substitute in the equation and solve for y
therefore
The ordered pair is (-2,-4)
Part 3) we have (4,?)
For x=4
Substitute in the equation and solve for y
therefore
The ordered pair is (4,8)