Answer:
![8x+8y=240](https://tex.z-dn.net/?f=8x%2B8y%3D240)
![4x+y=54](https://tex.z-dn.net/?f=4x%2By%3D54)
Step-by-step explanation:
A system of linear equations can help solve questions like this, that don't give "any" clue as to how many people are on either a van or a bus. Here you just need to interpret the question; at the bottom, it says that <em>x</em> represents the number of students on vans and <em>y</em> represents the number of students on a bus. In other words, for each school, the total number of students going on the field trip are the number of students on vans and the number of students on buses. Hope this helps :D
Answer:
180°
Step-by-step explanation: We are given the co-ordinates of ΔDEF as D(-1,6), E(1,3) and F(6,3).
Now, after rotation the co-ordinates of the new triangle D'E'F' are D'(1,-6), E'(-1,-3) and F'(-6,-3).
As we see that, the co-ordinates of triangle DEF are multiplied by negative sign to obtain the co-ordinates of triangle D'E'F'.
This means that, the triangle DEF is rotated 180° to form triangle D'E'F' because rotating 180 changes (x,y) to (-x,-y).
So, the rotation applied is 180° to ΔDEF.
Answer:
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Step-by-step explanation:
3a(4a^2 - 5a + 12)=12a^3-15a^2+36a (C)