Use a direct proof to show that the product of two odd integers is odd.

The proof itself

Step-by-step explanation:

We can define the set of all even numbers as

This is, we can define all even numbers as the set of all the multiples of

As for the odd numbers, we can always take every even number and sum one to each one. This is

Note that (the set of all natural numbers adding the zero) so that for then

Now, given 2 odd numbers and we can write each one as follows:

And then if we multiply them with each other we obtain:

Then we have that is also an odd number as we defined them.

22.83 repeating

step-by-step explanation:

137 ÷ 6 is 22.8333333 therefore we understand that 3 is repeating.

happy to

pls mark as brainliest

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.