A, B and C are collinear and B is in the middle.
so we have AB + BC =AC
6x +x-5= 23
7x -5=23
adding 5 to both sides
7x=23+5
7x =28
dividing both sides by 7
we get x=28/7 =4
So answer is x=4
Answer:
-8
Step-by-step explanation:
1. x + 23 = 15
2. x + 23 = 15
-23 -23
3. x = -8
Answer:
144 (If multiplying)
Step-by-step explanation:
18x8=144.
Basically, you have two circles. You are asked to take circle 1 and "move it" so that it is on top of circle 2. This process of moving is called a translation and can be thought of as sliding. You do this by ensuring that the two have the same center. So, starting at (-4,5) how do you have to move to end up at (2,1)?
To do this we need to move right 6 as the x-coordinate goes from -4 to 2. We also need to move down 4 as the y-coordinate goes from 5 to 1. So we add 6 to the x-coordinate and subtract 4 from the y-coordinate. The transformation rule is (x+6, y-4).
Once you do this the circles have the same center. Next you wish to dilate circle 1 so it ends up being the same size at circle 2. That means you stretch it out in such a way that it keeps its shape. Circle 1 has a radius of 2 centimeters and circle 2 has a radius of 6 centimeters. That is 3x bigger. So we dilate by a factor of 3.
Translations and dilations (along with reflections and rotations) belong to a group known as transformations.
