A floor rug is rectangular in shape. The width of the rug is 2 ft less than its length. The perimeter of the rug is 36 ft.
2 answers:
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The point-slope form of the equation for a line with slope m through point (h, k) is ...
y = m(x -h) +k
Your line's equation can be written as
y = 5(x -1) -6
This can be simplified to slope-intercept form
y = 5x -11
or standard form
5x -y = 11
y = m(x -h) +k
Your line's equation can be written as
y = 5(x -1) -6
This can be simplified to slope-intercept form
y = 5x -11
or standard form
5x -y = 11
We want to solve the system of inequalities
y ≥ x - 5
y < -x + 4
The line y = x - 5 has
slope = 1
y-intercept = -5
x-intercept: x - 5 = 0 => x = 5
The line y = -x + 4 has
slope = -1
y-intercept = 4
x-intercept: -x + 4 = 0 => x = 4
Answer:
Graph the two lines and apply the inequalities as shown in the figure.
The shaded area is the solution region.
y ≥ x - 5
y < -x + 4
The line y = x - 5 has
slope = 1
y-intercept = -5
x-intercept: x - 5 = 0 => x = 5
The line y = -x + 4 has
slope = -1
y-intercept = 4
x-intercept: -x + 4 = 0 => x = 4
Answer:
Graph the two lines and apply the inequalities as shown in the figure.
The shaded area is the solution region.