Given the area of a rectangle is 14,628 square millimeters, and the width is 12 millimeters, find the length. ***show work ! would really appreciate ***

The Length of the rectangle is 1,219 milimeters.

Step-by-step explanation:

Hi, to find the length of the rectangle we have to apply the next formula:

A = L x H

Where:

A= area of a rectangle

L= length

W= width

Replacing the variables with the values given:

14,628 mm²= L x 12 mm

To obtain the length, we isolate the variable L.

14,628/12 =L

1,219 mm= L

In conclusion, the length of the rectangle is 1,219 millimeters.

Feel free to ask for more if it´s necessary or if you did not understand something.

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this