For question 1
x²-12x+36
An easy and efficient way to remember how to factor is to see the different parts of the polynomial.
If the last number (in this case 36) has the multiples which add up to the middle number (12), then the polynomial is factorable. 36 has the multiples (6,6) which add up to 12.
Now check the symbols, if the symbol before the last number is a +, that means the two factors have the same symbol. Now see the symbol before the middle number. If its a negative, the factors would be minus as well.
x²-12x+36
(x )(x )
(x- )(x- ) Same symbol as (-)12x
(x-6)(x-6) Multiples of the last number (36)
x²-12x+36 = (x-6)(x-6)
Well, there are 12 inches in a foot.
We have 3/12 inches (3 inches of a foot). Now, let's simplify!
What is the GCF (greatest common factor) of 12 and 3? Well, let's list out the factors (what a number divides into) of each of them.
1*12
2*6
3*4
1*3
The largest factor that we see in both of these numbers is 3, so let's divide 3/12 by 3!
3/3=1
12/3=4
So, 3 inches are 1/4 of a foot :).
You can check your answer by multiplying 12 by 1/4. Your answer will be 3!
I hope I helped! :)
I think the problem is this: 8, 4, 2. 1, 1/2 , 1/4
Each term in the sequence is 1/2 of the previous term.
The next term is 1/2 * 1/4 = 1/8.
I don’t think you can calculate the arc without the radius. All I know is that the angle is 110 degree