In the first half of a basketball game, a player scored 9 points on free throws and then scored a number of 2-point shots. in th
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B) If the line is parallel, that means the slope is the same.
The slope for the original line is
= 
.
The second form of coral line would be y = -1/4x + (any number). You could use y = -1/4x + 3.
c) Solve 12x = 24 + 3y for y.
3y = 12x - 24
y = 4x - 8
Perpendicular lines have negative reciprocal slopes... the negative reciprocal for -1/4 is 4. So yes, the third coral structure is perpendicular to the first coral.
The slope for the original line is
The second form of coral line would be y = -1/4x + (any number). You could use y = -1/4x + 3.
c) Solve 12x = 24 + 3y for y.
3y = 12x - 24
y = 4x - 8
Perpendicular lines have negative reciprocal slopes... the negative reciprocal for -1/4 is 4. So yes, the third coral structure is perpendicular to the first coral.
has critical points where the derivative is 0:
The second derivative is
and , which indicates a local minimum at
with a value of
.
At the endpoints of [-2, 2], we have and
, so that
has an absolute minimum of
and an absolute maximum of
on [-2, 2].
So we have