identity used is
x³ + y³+ z³– 3xyz = (x + y + z) (x² + y² + z² – xy – yz – zx).
then use
(x+y+z)² = x²+y²+z²+2(xy+yz+xz)
225= 83 + 2(xy+yz+xz)
xy+yz+xz = (225-83)/2
xy+yz+xz= 142/2
xy+yz+xz= 71
ok
now use identity
x³ + y³+ z³– 3xyz = (x + y + z) (x² + y² + z² – xy – yz – zx).
now
x³ + y³+ z³– 3xyz = 15 (83 – xy – yz – zx).
= 15[83 - (71)]
= 15×12
=180
You know you are finished dividing when you can no longer simply & when you plug it back in to check the answer
Answer:
36 cm^2
Step-by-step explanation:
Answer:
-1 1/64
Step-by-step explanation:
First, turn these mixed fractions into normal fractions:
1 5/8
5/8 + 8/8 = 13/8
-1 3/5
-3/5 + -5/5 = -8/5
13/8 / -8/5
Then you can use the KCF (keep, change, flip) method to solve:
13/8 / -8/5
13/8 x -5/8 = -65/64
-1 1/64
-1 1/64 is your answer
Hope this helps!
D. the triangles are similar by the SSS similarity theorem.