How much of your lawn can you mow with

If a b c=0, but abc don't equal 0, then a^2/bc b^2/ca c^2/ab=

goblinko [34]

$\sf a + b + c = 0\\abc \neq 0\\\\ \frac{a^2}{bc} + \frac{b^2}{ac} + \frac{c^2}{ab} = \frac{a^3+b^3+c^3}{abc} \\\\\sf Formula: \\a^3 + b^3 + c^3 = (a + b + c) (a^2 + b^2 + c^2- ab - bc - ca) + 3abc\\\\\frac{a^3+b^3+c^3}{abc}= \frac{(a + b + c) (a^2 + b^2 + c^2- ab - bc - ca) + 3abc}{abc}\\\\\sf However, ~a+b+c = 0. ~So:\\\\\frac{0 (a^2 + b^2 + c^2- ab - bc - ca) + 3abc}{abc}\\\\\sf Multiply~ anything ~by~ 0, ~and~ you ~get~ 0. ~So~ simplifying:\\\\\frac{3abc}{abc} = \boxed{3}$

Your final answer is 3.

3 0

3 years ago

One Friday night, two large groups of people called Centerville Taxi Service. The first group

NeX [460]

Answer:sedan can hold 3 people and a minivan can hold 9 people.

Step-by-step explanation:

Suppose the number of passengers each sedan can carry is A and the number of passengers each minivan can carry is B

So 3A + 2B = 21 and 3A + 3B = 27

If we subtract the equations we can solve for B

3A + 3B = 27

-3A - 2B = 21

___________

B = 6

Now we know Each minivan can hold 6 passengers and we can solve for A.

3A + 3B = 27

3A + 3(6) = 27

3A + 18 = 27

- 18. -18

__________

3A = 9

A =3

You can check this by solving the other equation.

3A + 2B = 21

3(3) + 2(6) = 21

9 + 12 = 21

Hope that helps

4 0

3 years ago

Select the correct answer from each drop-down menu. Quadrilateral PQRS, with vertex P(-5, -3), undergoes a transformation to for

anygoal [31]

Answer:

i) A. 180º rotation about the origin, ii) $Q' = (4, 5)$ .

Step-by-step explanation:

i) In this case, we understand that vertex $P = (-5,-3)$ changed to $P' = (5,3)$ after doing an operation. At first we must calculate the distance of each point regarding origin by Pythagorean Theorem: