Answer:
Step-by-step explanation:
Find the lowest common multiple between the numbers
35 = 5×7
40 = 2³×5
42 = 2×3×7
So the lowest common multiple is:
2³×3×5×7 =840 minutes
840 minutes is 14 hours so the next time they are all at the interchange is 2020 hours.
Answer:
![\mathsf{slope=-\dfrac25}](https://tex.z-dn.net/?f=%5Cmathsf%7Bslope%3D-%5Cdfrac25%7D)
Step-by-step explanation:
![\mathsf{let \ (x_1,y_1)=(-8,2)}](https://tex.z-dn.net/?f=%5Cmathsf%7Blet%20%5C%20%28x_1%2Cy_1%29%3D%28-8%2C2%29%7D)
![\mathsf{let \ (x_2,y_2)=(7,-4)}](https://tex.z-dn.net/?f=%5Cmathsf%7Blet%20%5C%20%28x_2%2Cy_2%29%3D%287%2C-4%29%7D)
![\mathsf{slope=\dfrac{y_2-y_1}{x_2-x_1}}](https://tex.z-dn.net/?f=%5Cmathsf%7Bslope%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%7D)
![\implies \mathsf{slope=\dfrac{-4-2}{7--8}=-\dfrac25}](https://tex.z-dn.net/?f=%5Cimplies%20%5Cmathsf%7Bslope%3D%5Cdfrac%7B-4-2%7D%7B7--8%7D%3D-%5Cdfrac25%7D)
Answer:
A tangent line touches a curve at one point and has the same slope as the curve at that point. A secant line intersects at 2 or more points and has a slope equal to the average rate of change between those points.