What is the length of the longest side of a triangle that has the vertices (-3,2) (3,2) and (3,6)
1 answer:
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For this case we have that by definition, the slope of a line is given by:
Where:
and
are two points through which the line passes.
Question 1:
According to the image, we have the following points:
Substituting we have:
Thus, the slope is:
Question 2:
According to the image, the line goes through the following points:
Substituting we have:
Thus, the slope is:
Answer:
Slope 1:
Slope 2:
Answer:
x = ±2, 3 are the critical points of the given inequality.
Step-by-step explanation:
The given inequality is
To find the critical points we will equate the numerator and denominator of the inequality to zero.
For numerator,
(x - 2)(x + 2) = 0
x = ±2
For denominator,
x² - 5x + 6 = 0
x² - 3x -2x + 6 = 0
x(x - 3) -2(x - 3) = 0
(x - 3)(x - 2) = 0
x = 2, 3
Therefore, critical points of the inequality are x = ±2, 3 where the sign of the inequality will change.