Factor completely x3 + 8x2 − 3x − 24. (x − 8)(x2 − 3) (x + 8)(x2 + 3) (x − 8)(x2 + 3) (x + 8)(x2 − 3)
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Two lines are perpendicular if their slope m and m' satisfy the equation
The slope of the given line is 4, because the line is written in the slope-intercept y=mx+q, where m is the slope.
So, the perpendicular slope is
So, we want a line with slope -1/4 and passing through (-1,3). We can use the formula
for the line passing trough (a,b) with slope m:
According to above figure, we can conclude that :
- The given triangles are congruent by SSS criteria.