hectictar

[ -81 / 625 ] / [ 243 / 3125 ]

                                                     Invert the second fraction and multiply.

=   [ -81 / 625 ] * [ 3125 / 243 ]

=   [ -81 * 3125 ] / [ 625 * 243 ]

=   -253125 / 151875

=   -5/3

≈   -1.667

That is neat!  I will think about it.....

24511   

8134

Okay... I pick  8101

4513

(a)   The sides meet at  90°  angles.

(b)   All sides are the same length.

(c)   Opposite sides are parallel.

(d)   All sides are the same length.

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2x - 3y  =  -6

a.     To find the  x  intercept, plug in  0  for  y  and solve for  x  .

2x - 3(0)  =  -6

2x - 0  =  -6

2x  =  -6            Divide both sides of the equation by  2 .

x  =  -3              The  x  intercept is  -3 .

b.     To find the  y  intercept, plug in  0  for  x  and solve for  y .

2(0) - 3y  =  -6        Can you finish it?

c.     To graph the line, plot the  x  intercept and the  y  intercept, then draw a line through them.

3x + 3y  =  10          Multiply through by  -3 .

-9x - 9y  =  -30        This is the first equation.

-9x - 9y  =  -30        This is the second equation.

Notice that the equations are identical, so really we know only one equation.

There are two variables in that equation, so there are infinitely many solutions.