Given the following system of equations: -x + y =2
2x + 4y =32

what action was completed to create this new equivalent system of equations?

-x + y =2
x + 2y =16

a. divide the second equation, 2x + 4y = 32, by 2

b. divide the first equation, -x + y =2, by 2

c. multiply the second equation, 2x + 4y =32, by -1

d. multiply the first equation, -x + y =2, by -1

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