In Exercises 39-58, calculate the exact slope (rather than a decimal approximation) of the straight line through the given pair of points, if defined. Try to do as many as you can without writing anything down except the answer. [ HINT: See Quick Example 5.] ( − a , b ) and ( a , − b ) ( a ≠ 0 )
In Exercises 39-58, calculate the exact slope (rather than a decimal approximation) of the straight line through the given pair of points, if defined. Try to do as many as you can without writing anything down except the answer. [ HINT: See Quick Example 5.] ( − a , b ) and ( a , − b ) ( a ≠ 0 )
Solution Summary: The author calculates the slope of the straight line passing through the points (-a,b) and
In Exercises 39-58, calculate the exact slope (rather than a decimal approximation) of the straight line through the given pair of points, if defined. Try to do as many as you can without writing anything down except the answer. [HINT: See Quick Example 5.]
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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