Assign the following variables for the origina3l rectangle:
let w = width let w + 8 = length and the area would be w(w + 8) = w² + 8w
No for the second rectangle:
let (w + 4) = width and (w + 8 - 5) or (w + 3) = length
Area = length x width or (w + 4)(w + 3) = w² + 3w + 4w + 12 using the foil method to multiply to binomials. Simplified Area = w² + 7w + 12
Now our problem says that the two area will be equal to each other, which sets up the following equation:
w² + 8w = w² + 7w + 12 subtract w² from both sides
8w = 7w + 12 subtract 7w from both sides
w = 12 this is the width of our original rectangle
recall w + 8 = length, so length of the original rectangle would be 20
9514 1404 393
Answer:
f(x) = -1/2x +1
Step-by-step explanation:
The line crosses the y-axis at y=1, so the y-intercept is b=1.
The line drops 1 unit for a run of 2 to the right, so the slope is ...
m = rise/run = -1/2
The slope-intercept form of the equation of the line is ...
y = mx + b
y = -1/2x + 1
In functional form, the equation is ...
f(x) = -1/2x +1
Answer:
-7/10
Step-by-step explanation:
To find the slope of a line, you need to find the 
between two points. I will be using the points (-3, 5) and (7, -2).
= 
= 
= -7/10
