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kolbaska11 [484]
2 years ago
9

True or False; In spherical geometry, there is only one equilateral triangle.

Mathematics
1 answer:
Elodia [21]2 years ago
3 0

It's true. It must equal 180 degrees and the only way to accomplish that while it being an equilateral triangle is by having only one triangle! :)

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If a+b+c =0 show that a³+b³+c³= 3abc
slega [8]

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

7 0
3 years ago
If 12 newborn babies are randomly selected, how many different gender sequences are possible?
ki77a [65]
If there are 2 genders it's 2^12, which is 4096
3 0
2 years ago
Giving brainliest!
Dovator [93]

Answer:

PLS MARK ME BRAINLIEST

Step-by-step explanation:

0.9375

6 0
2 years ago
Read 2 more answers
PLEASE HELP!!!!!<br> x^2 + 12xy + 35y^2
SVEN [57.7K]
The answer is = (x + 5y) (x + 7y)

Break the expression into two groups.
 
x^2 + 12xy + 35y^2
(x^2 + 5xy) (7xy + 35^2)

Factor out x from x^2 + 5xy: x(x + 5y)
Factor out 7y from 7xy + 35y^2: 7y(x + 5y)
=x(x + 5y) + 7y(x + 5y)

Next, factor out the common term (x+ 5y).

Answer = (x + 5y) (x + 7y)
7 0
2 years ago
Read 2 more answers
Help me out plzz and I'll do the same
elixir [45]
I think it's -2 to -1 is the right answer maybe

but i hope it helps u !!
6 0
2 years ago
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