What is the product of two odd numbers and a multiple of 2

An odd number is (2x) + 1

An even number is (2x)

These are the definitions.

Using the binomial (2x + 1)(2x + 1), we can see the properties of all products made from odd numbers.

Foiling will give 4x^2 + 4x + 1.

4x^2 is even because 4x^2 can be expressed as 2(2x) x 2(2x).

4x is even because 4x can be expressed as 2(2x)

This means that 4x^2 + 4x is even so the expression 4x^2 + 4x + 1 is odd because an even number + 1 is odd as shown by (2x) + 1.

This shows that every outcome of the product of 2 odd numbers will result being odd.

This means there is no answer to this problem, because any number that is a multiple of 2 is even. (Basically the definition of even)

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3

graph them on a graphing calculator, press 2nd trace. select intersect. hit enter until it says answer. ti 84 works best

step-by-step explanation: