6th grade
1 answer:
You might be interested in
Answer:
Multiplication is commutative.
Step-by-step explanation:
Let n,m be two natural numbers.
We have to show that
We will prove this by induction
For n = 1, we have , which is true.
Let the given statement be true for n-1 natural numbers, that is,
Now, we have to show that it is true for n natural numbers.
which is equal to
Hence, by principal of mathematical induction, the given statement is true for all natural numbers.
Given:
The point is (-8,3).
To find:
The image of the given point after a rotation of 270 degrees counterclockwise about the origin.
Solution:
If a point is rotated 270 degrees counterclockwise about the origin, then the rule of rotation is:
Using this rule, we get
Therefore, the image of the given point after a rotation of 270 degrees counterclockwise about the origin is (3,8).
