List the smallest three values in the set below. {x | x ∈ N and 20 < x}

Step-by-step explanation:

Given the set A = {x | x ∈ N and 20 < x} , from the set it can be seen that the element of the set are natural numbers where  20< x.

If 20< x

reciprocating both sides will change the sense of the inequality

1/20>1/x

cross multiply

x > 20

This means that the values of x are values grater than 20.

The smallest three values will be the smallest three natural numbers greater than 20 and they are 21, 22 and 23. Note that natural numbers are whole numbers.

isocolese triangle

we know that the line connect a and b is the hyptonuse

so first find the hypotonuse length using the distance formula, call the length c

since it is an isocolese triangle, the lengths of the legs are the same

using pythagorean theorem,

in this case, a=b since isocolese triangle so we get

or

we can find c so we can find the distances

we know that if we draw 2 circles, each has center at a and b, and find where they intersect, we can the 2 possible locations for c

if a has center at (xa,ya) and b has center at (xb,yb), then we can solve where

and

intersect to find where they intersect

i'm not going to put an example because i have to go to class. i hope this explanation is enough