This is the associative property of addition. It states that no matter where you switch the numbers in an equation full of addition symbols, the answer will remain the same.
Answer:
Length ≈ 20 feet (rounded down nearest 10th feet)
Width ≈ 20 feet (rounded up to nearest 10th feet)
Step-by-step explanation:
Find Length and Width
Width = Length - 4 feet
Area = 42 ft²
Area = L x W
42 = L x (L - 4)
42 = 2L - 4
42 + 4 = 2L - 4 + 4
2L = 46
2L/2 = 46/2
L = 23
L ≈ 20 feet
Width = 23 - 4
Width = 19 feet
Width ≈ 20 feet
Hi there!
I'm guessing you want to know what the equation of the slope-intercept line is.
The general equation for the slope-intercept line looks like this:
y = mx + b
Where "m" is the slope and "b" is the y-intercept.
Since we know what the slope is and we have the coordinates of a point, you can replace the slope and the value of the coordinates "x" & "y" in the equation and solve for "b" in order to find the whole equation :
y = mx + b
-1 = -1/2(10) + b
subtract "b" from each side of the equation
-1 - b = -1/2(10)
Add 1 to each side of the equation
-b = -1/2(10) + 1
-b = -5 + 1
-b = -4
Divide each side of the equation by -1
b = 4
Since you now know the value of "b" you can go ahead and write the slope-intercept equation with the slope in it and the y-intercept value also (b) :
y = -1/2 + 4
There you go! I really hope this helped, if there's anything just let me know! :)
Write an equation and solve it. Call the length of the shorter piece "x", in this case, the longer piece is "3x". The sum of the two is equal to 116 inches.
