Answer:
12/5
Step-by-step explanation:
6(2/5)
= (6/1) * (2/5)
= (6)(2) / (1)(5)
= 12/5
Answer:
72 degrees
Step-by-step explanation:
Referencing off of line t being a straight line, a straight line is 180 degrees. If you subtract 108 from 180, you would get 72. Since this intersecting line is going through 2 paralel lines, the 2 groupings of angles reflect each other.
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.
Answer:
<em>x=</em><em>3</em><em>0</em><em>°</em>
hopefully this answer can help you to answer the next question
Division CANNOT be commutative, here is why
lets say the problem is 24÷4
it is obviously 6
but when you flip 24÷4, you get 4÷24
and... 4÷24 is 0.16666666
6 and 0.1666 is totally different :p
