ElectricPavlov

Slope =  (y2-y1)/(x2-x1)   =   (4-0)/(-9- -7)  =   -4/16

Area = l x w     and area = 24 

Let length = x    then width = x+5

area = l * w     Substitue the values we have above

24 = x (x+5)       or   (x+5)x

Solve for x      24 = x(x+5)

24 = x^2 + 5x

0= x^2 + 5x -24

(x-3)(x+8) = 0         so x = 3  or -8 (throw this one out....you can't have length of -8)

                              so l= 3     w = l+5 = 8           8 x 3 = 24 in^2      CHECK!

Just use the calculator !     2810 divided by 5  = 562

Basically, any 'x ' that makes the denominator   NOT zero (because that would be 'undefined) AND POSITIVE (because you cannot take the sqrt of a negative number (without using imaginary numbers)

so    2x-4 > 0

2x>4

x> 4/2

x>2  Is the domain

My understanding is this      what two numbers multiplied together = 19  (  prime number with only the factors    1  and  19   or  -1 and -19)     and ADDED together = b

Which means   b  =    20    (from 19 + 1)  or  -20  (from -19 and - 1)

Her interst will be   x (.05)(3yrs)       where x is the amount she borrowed

x(.05)(3) = 30

x  = 30 /(.05*3) = $ 200.

Neither of those answers will work:

|3(-4) +2| + 6 = 16     does not equal the x value of  -4

|3(2) +2| + 6 = 14     does not equal the x value of 2      

HELP !

Subtract sinx from both sides to get

2sinx = 1    divide by 2

sinx = 1/2    

Arcsinx = arcsin(1/2) = 30 degrees  or   150 degrees

I don't think this is possible....

|3x|   will always be greater than x.....