Answer:
Step-by-step explanation:
a+b+c=0, a+b=-c,a+c=-b, b+c=-a
(a+b+c)^3=(a+b+c)^2*(a+b+c)=(a^2+b^2+c^2+2ab+2ac+2bc)*(a+b+c)=
a^3+ab^2+ac^2+2a^2b+2a^2c+2abc+a^2b+b^3+bc^2+2ab^2+2abc+2b^2c+a^2c+b^2c+c^3+2abc+2ac^2+2bc^2=a^3+b^3+c^3+3a^2b+3a^2c+3ac^2+3ab^2+3bc^2+3b^2c+6abc=
a^3+b^3+c^3+3a^2*(b+c)+3c^2(a+b)+3b^2(a+c)+6abc=
a^3+b^3+c^3+3a^2*(-a)+3c^2*(-c)+3b^2*(-b)+6abc=
a^3+b^3+c^3-3a^3-3c^3-3b^3+6abc=
6abc-2a^3-2b^3-2c^3=2(3abc-a^3-b^3-c^3)=
2*[3abc-(a^3+b^3+c^3)]=0
so 3abc-(a^3+b^3+c^3)=0
so a^3+b^3+c^3=3abc
Answer:
2
x + 3y − 6
Step-by-step explanation:
If you simplify you should get 2
x + 3y − 6
6(2x-8y=-24)
-2 (6x+4y=68)
12x-48y=-144
-12x-8y=-136
-56y=-280
-280÷-56=5
y=5
2x-8 (5)=-24
2x-40=-24
+40. +40
2x=16
16÷2=8
×=8
y=5
x=8
hope this helps, if needed a picture for better understanding,please comment.
Answer:
a² = 144
b² = 25
c² = 169
c = 13
Step-by-step explanation:
• a² = 12×12
= 144
• b² = 5×5
= 25
• a² + b² = c²
= 144 + 25 = 169
• c = _/169
= 13
No, the inequality uses less than or equal to, but it should be less than. The relationship could be written as h<span> + 20 < 90. This says that the tallest player’s height plus 20 inches is less than 90 inches.</span>
