Why is the sum of an even number and an odd number odd?
a. think of the problem 14 + 11. draw dots to represent each number.
b. circle pairs of dots to determine if any of the dots are left over.
c. is this true every time an even number and an odd number are added together? why or why not?
d. what if the first addend is odd and the second is even? is the sum still odd? why or why not? for example, if we had 11 + 14, would the sum be odd?

Yes. There are easy rules to follow for this:

even + even always equals even

odd   + odd  always equals even

even + odd   always equals odd

Lets try examples:

1) even + even: 6 + 6 = 12, 4+2 = 6, 12+ 8 = 20, etc

2) odd  + odd:  7  + 7 = 14, 5+3 = 8, 17 + 1 = 18, etc

3) even + odd: 7  + 6 = 13, 3+4 = 7, 13 + 6 = 19, etc

Hope this helps!

no one knows lol

step-by-step explanation:

the formula for the equation of a circle is (x – h)2+ (y – k)2 = r2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle. if a circle is tangent to the x-axis at (3,0), this means it touches the x-axis at that point.