Answer:
3(3a - 6b + 7c )
Step-by-step explanation:
The greatest common factor of 9, 18 and 21 is 3
Factor out 3 from each term
9a - 18b + 21c
= 3(3a - 6b + 7c) ← in factored form
Answer:
Option (1) will be the answer.
Step-by-step explanation:
Coordinates of the points A and B lying on the line f are (0, 2) and (2, 0) respectively.
Slope of the line f,
![m_{1}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}](https://tex.z-dn.net/?f=m_%7B1%7D%3D%5Cfrac%7By_%7B2%7D-y_%7B1%7D%7D%7Bx_%7B2%7D-x_%7B1%7D%7D)
![m_{1}=\frac{2-0}{0-2}](https://tex.z-dn.net/?f=m_%7B1%7D%3D%5Cfrac%7B2-0%7D%7B0-2%7D)
After dilation of line f by a scale factor of 2, coordinates of A' and B' will be,
Rule for dilation,
(x, y) → (kx, ky)
Where k = scale factor
A(0, 2) → A'(0, 4)
B(2, 0) → B'(4, 0)
Slope of line f',
![m_{2}=\frac{0-4}{4-0}](https://tex.z-dn.net/?f=m_%7B2%7D%3D%5Cfrac%7B0-4%7D%7B4-0%7D)
![m_{2}=-1](https://tex.z-dn.net/?f=m_%7B2%7D%3D-1)
Since, ![m_{1}=m_{2}=-1](https://tex.z-dn.net/?f=m_%7B1%7D%3Dm_%7B2%7D%3D-1)
Therefore, both the lines f and f' will be parallel.
Option (1) will be the answer.
149
How to:
A four sided shape equals to 360 degrees
Answer:
37.5 miles per hour
Step-by-step explanation:
The question might be trying to confuse the reader. Point (1) which states the difference in weight does not show any evidence on how it affects the speed of both cyclist. Point (2) show an important point where the distance traveled is 75 miles.
Cyclist B, who leave point X at 2pm overtook cyclist A at 4pm, showing that the time it took for B to overtook A is 2 hours
Speed = distance / time
= 75 miles / 2 hours
= 37.5 miles per hour