For Exercises 75-78, determine if points A , B , and C are collinear. Three points are collinear if they all fall on the same line. There are several ways that we can determine if three points, A , B , and C are collinear. One method is to determine if the sum of the lengths of the segments A B ¯ and B C ¯ equal the length of A C ¯ . − 1 , 5 , 0 , 3 , and 5, − 1 3
For Exercises 75-78, determine if points A , B , and C are collinear. Three points are collinear if they all fall on the same line. There are several ways that we can determine if three points, A , B , and C are collinear. One method is to determine if the sum of the lengths of the segments A B ¯ and B C ¯ equal the length of A C ¯ . − 1 , 5 , 0 , 3 , and 5, − 1 3
Solution Summary: The author explains that the points are collinear if the sum of the lengths of line segments AB and BC equals AC.
For Exercises 75-78, determine if points
A
,
B
,
and
C
are collinear. Three points are collinear if they all fall on the same line. There are several ways that we can determine if three points,
A
,
B
,
and
C
are collinear. One method is to determine if the sum of the lengths of the segments
A
B
¯
and
B
C
¯
equal the length of
A
C
¯
.
find the zeros of the function algebraically:
f(x) = 9x2 - 3x - 2
Rylee's car is stuck in the mud. Roman and Shanice come along in a truck to help pull her out. They attach
one end of a tow strap to the front of the car and the other end to the truck's trailer hitch, and the truck
starts to pull. Meanwhile, Roman and Shanice get behind the car and push. The truck generates a
horizontal force of 377 lb on the car. Roman and Shanice are pushing at a slight upward angle and generate
a force of 119 lb on the car. These forces can be represented by vectors, as shown in the figure below. The
angle between these vectors is 20.2°. Find the resultant force (the vector sum), then give its magnitude
and its direction angle from the positive x-axis.
119 lb
20.2°
377 lb
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