Sapphire and trinity are shopping for school clothes. sapphire has $50 and a coupon for a $10 discount at a boutique where each shirt costs $12. sapphire thinks that she can buy three shirts, but trinity says that sapphire can buy five shirts. the equations they used to model the problem are listed below. solve each equation algebraically, and determine who is correct and why. susan’s equation 12x + 10 = 50 bonnie’s equation 12x − 10 = 50

susan's: 10/3

Bonnie's:5

Step-by-step explanation:

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