If x+y = 12 and x−y = 8, what is the value of x2+y2? (A) 20 (B) 24 (C) 100 (D) 104 (E) 208

24

Step-by-step explanation:

x-y=8

x=8+y

(8+y) +y =12

2y=4

y=2

x+2=12

x=10  

                                y=2

                                 x=10

  10+2= 12  

  10-2 =8

                                 10*2=20                    2*2=4

                        20+4=24

2 over 5

step-by-step explanation:

the 2: 3 ratio is the length of the ac segment to the cb segment total length. this implies that the ratio between segment ac length and segment ab length is 2: 5. point c is 2/5 from a to b, so the required fraction is 2/5.