I am thinking of a number.
I multiply it by 10 and subtract 106.
I get the same answer if I multiply
by 6 and subtract 6.
What is my number?

x = 25

Step-by-step explanation:

Because the give the same number they are equal!

x = the number

10x - 106 = 6x - 6

4x = -6 + 106

4x = 100

x = 25

Thanks for the question! :)

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