One side of a rectangle is 9 inches longer than another side. If the longer side of this rectangle decreases by 5 inches, and the
shorter side increases by 3 inches, the area of the new rectangle
equals the area of the original rectangle. Find the dimensions of the
original rectangle

Plz help

6 and 15

Step-by-step explanation:

x^2 + 9x = x^2 + 7x +12

2x = 12

x = 6

the sides of the rectangles are 6 in and 15 in

Step-by-step explanation:

55.44 inches

step-by-step explanation:

part a. assuming a perfectly linear relationship, we can find the slope from the first two data points.

slope = m = (change in rainfall)/(change in years)

= (61.80 -62.33)/(2005 -2004) = -0.53/1 = -0.53

then the point-slope form of the equation of the line can be written as

y = m(x -h) +k . . . . . m = -0.53, (h, k) = (0, 62.33)

y = -0.53x +62.33 . . . x = years after 2004

part b. in 2017, x = 2017 -2004 = 13. then the predicted rainfall is

y = -0.53·13 +62.33 = 55.44 . . inches

the predicted rainfall in 2017 is 55.44 in.