Casey solved an equation, as shown below:

Step 1: 14c = 98
Step 2: c = 98 - 14
Step 3:c = 84

Part A: Is Casey's answer correct or incorrect? If it is incorrect, explain why it is incorrect and show the correct steps to solve the equation. (6 points)

Part B: How many solutions will this equation have?

Part A: She is wrong

Part B: One solution

Step-by-step explanation:

Casey's answer is wrong because she should have divided it by 14 not transpose 14

14c=98

divide both sides by 14

14c/14=98/14

c=7

1. 22

2. 1

3. 7

4. 18

step-by-step explanation

e2020 got it right

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