a rectangle has a width w and it's length is 3w-2. if the area is 65ft^2, find the length and width of the rectangle.

Width = 5

Length = 13

Step-by-step explanation:

Area of a rectangle:

=> L x W = Area

After knowing this, we could find the factors of 65

=> 65 = 5 x 13, 1 x 65

So, the only way is 5 x 13.

So, Width = 5

     Length = 13

Let's check whether our answer is correct.

=> (3w - 2) * w  = 65

=> (3 (5) - 2) * 5 = 65

=> (15 - 2) * 5 = 65

=> 13 * 5 = 65

=> 65 = 65

So, our answer is correct.

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation: