Complete the square for x^2 + 6x + ? to form a perfect square trinomial
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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.
because when you differentiate, only the constant of the x remains (which is m in this case), and c being another constant independent of x, is 0 when differentiated. hence, since dy/dx is the gradient of the line, m is therefore the gradient