geno3141

To simplify this, you need a common denominator.

Since 4x + 4y  =  4(x + y), a common denominator is:  4(x + y)(x - y)

Solving:  [ 3/(4(x + y)) ] · [ (x - y)/(x - y) ]  +  [ 1/(x - y) ] · [ 4(x + y) ]/[ 4·(x + y) ]

=  [ 3(x - y) ] / [ 4(x + y)(x - y) ]  +  [ 1·4(x + y) ] / [ 4(x + y)(x - y) ]

=  [ 3(x - y) + 4(x + y) ] / [ 4(x + y)(x - y) ]

=  [ 3x - 3y + 4x + 4y ] / [ 4(x + y)(x - y) ]

=  [ 7x + y ] / [ 4(x + y)(x - y) ]

There is no single answer.

For instance:  x = 16, y = 0, z = 0

                    x = 4, y = 4, z = 0

                    x = 25/9, y = 4, z = 1/9

etc. 

There is an infinite number of possible answers.

√(2) / 2

A = (-1, 6)         B = (4, 5)         C = (-3, -4)

Use the distance formula to find the distance of each side:  d  =  √[ (x2 - x1)² + (y2 - y1)² ]

AB:  (x1, y1) = (-1, 6)         (x2, y2) = (4, 5)     --->  d  =  √[ (4 - -1)² + (5 - 6)² ]  

       --->   d  =  √[ (5)² + (-1)² ]     --->   d  =  √( 25 + 1)     --->     d  =  √26

BC:  (x1, y1) = (4, 5)         (x2, y2) = (-3, -4)     --->  d  =  √[ (-3 - 4)² + (-4 - 5)² ]  

       --->   d  =  √[ (-7)² + (-9)² ]     --->   d  =  √( 49 + 81)     --->     d  =  √130

AC:  (x1, y1) = (-1, 6)         (x2, y2) = (-3, -4)     --->  d  =  √[ (-3 - -1)² + (-4 - 6)² ]  

       --->   d  =  √[ (-2)² + (-10)² ]     --->   d  =  √( 4 + 100)     --->     d  =  √104

Since AB² + AC²  =  BC², this is a right triangle with sides AB and AC.

To find the area:  Area  =  ½ · AB · AC  =  ½ · √26 · √104 =  ½ · √2704  =  ½ · 52  =  26

product = multiply              a number = x              increased by = add

3x + 7  =  23

Subtract 7:

3x  =  16

Divide by 3:

  x  =  16/3

They are separate functions. Is there some relation between the two that you need to know (such as: when are they equal? ) ?

A  =  P · [ ( 1 + r/n ) ^ (n·t) - 1 ] · (n/r)

A  =  final amount

P  =  deposit per time period  -- if weekly, amount deposited per week

r  =  rate (as a decimal)

n  =  number of times compounded per year  -- if weekly, use 52

t  =  number of years

8  =  (-1/10)(6) + b

8  =  (-6/10) + b

8  =  -3/5 + b

Add 3/5 to both sides:

8 3/5  =  b

0.025 x (his body weight)  =  (amount he eats)

0.025 x (his body weight)  =  45 pounds

Divide both sides by 0.025

            his body weight  =  45 ÷ 0.025

            his body weight  =  1800 pounds 

1 / ( 7472747.8127 · .00000090497572957 · x^7472746.8127 )