3 years ago

What is the length of the line segment with endpoints (11,-4) and (-12,-4)

Mathematics

1 answer:

Basile [38]3 years ago

8 0

(3.5,-8) I used the midpoint formula to find my answer

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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

Sixteen more than twice a number,m, is 36. write an equation and solve to find the number.

Dimas [21]

32m=36
m=36/32
m=9/8
that's the correct answer

3 0

3 years ago

Ella is buying a $110 chair. She has a coupon for 15% off. How much does she pay for the chair if sales tax is $6

san4es73 [151]

Answer: the answer should be 99.5

3 0

3 years ago

A Rectangular Room has a length of 3 more than its width. The perimeter of the room is 90. What is the width of the room?

nignag [31]

The answer to your question is 21

4 0

3 years ago

Given: 6g+4a=7a<br> prove: g/a=1/2

Likurg_2 [28]

Answer:

Step-by-step explanation:

6g + 4a = 7a

⇔ 6g = 7a - 4a

⇔ 6g = 3a

Divide both side by 6a

⇒ $\frac{6g}{6a} = \frac{3a}{6a}$ ⇔ $\frac{g}{a} = \frac{1}{2}$

I hope this will help you.

3 0

3 years ago