Answer: 24
Step-by-step explanation:
Lowest common multiple means the lowest number that can be divisible by 8,12,3
Looking at this, let's pick 8&3 first
8×3=24
12×3=36
12×8=96
Looking at this value,24 seems to be the lowest,
Therefore the lowest common multiple is 24
The four color theorem-No more than 4 colors are required to color the regions map
Answer:
a reflection over the x-axis and then a 90 degree clockwise rotation about the origin
Step-by-step explanation:
Lets suppose triangle JKL has the vertices on the points as follows:
J: (-1,0)
K: (0,0)
L: (0,1)
This gives us a triangle in the second quadrant with the 90 degrees corner on the origin. It says that this is then transformed by performing a 90 degree clockwise rotation about the origin and then a reflection over the y-axis. If we rotate it 90 degrees clockwise we end up with:
J: (0,1) , K: (0,0), L: (1,0)
Then we reflect it across the y-axis and get:
J: (0,1), K:(0,0), L: (-1,0)
Now we go through each answer and look for the one that ends up in the second quadrant;
If we do a reflection over the y-axis and then a 90 degree clockwise rotation about the origin we end up in the fourth quadrant.
If we do a reflection over the x-axis and then a 90 degree counterclockwise rotation about the origin we also end up in the fourth quadrant.
If we do a reflection over the x-axis and then a reflection over the y-axis we also end up in the fourth quadrant.
The third answer is the only one that yields a transformation which leads back to the original position.
Answer: 4x^2−4x+1
Step-by-step explanation:
(2x-1)^2
Square of Difference: (a−b)^2=a^2−2ab+b^2.
(2x)^2−2*2x+1
Multiplication Distributive Property: (xy)^a=
2^2x^2−2*2x+1
4x^2−2*2x+1
4x^2−4x+1
Hope this helps, now you know the answer and how to do it. HAVE A BLESSED AND WONDERFUL DAY! As well as a great Valentines Day! :-)
- Cutiepatutie ☺❀❤
