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
Answer:
x=-12
Step-by-step explanation:
You're trying to solve for x. So, to get x by itself, you need to divide by 9 on both sides and when you divide -108 by 9, you end up with x equaling -12.
-108/9=-12
x=-12
Answer:
d) The stairs can be broken into 6 rectangle prisms. The dimensions of each solid figure are 0.576 m3.
e) 3.456 m3
Step-by-step explanation:
d) 1.2/3=0.4
1.8/3=0.6
0.4 x 0.6 x 2.4=0.576
e) 0.576 x 6= 3.456
Answer:
We can only take positive number , Because negative is always smaller than positive.
We can take ,
6 + 6 = 12 .
6 x 6 = 36.
Where both are largest numbers possible.
Thus, the answer is 36.
Answer:
20
Step-by-step explanation:
Each square is 1 unit,
Width is 2
Height is 2
Length is 5
2x2x5 is 20