It costs $7.75 to enter an arcade and $0.25 to play an arcade game. You have $8.25. Write an
2 answers:
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Answer:
The last graph
Step-by-step explanation:
We transform functions in the following ways:
- multiplying the function by a number to stretch or shrink it
- multiplying by a negative to flip the orientation of the function
- adding/subtracting a value to the input x to shift it horizontally
- adding/subtracting a value to the output (or outside the function operation) to shift it vertically or horizontally.
Looking at the equation we can see
- Vertically shrunk by 0.5
- Negative leading coefficient to flip the graph's orientation
- Horizontal shift of the vertex of 3 units to the left from (0,-2) to (-3,-2)
- Vertical shift of the vertex of 2 units downward (-3,0) to (-3,-2)
The last graph has vertex (-3,-2) and satisfies the the equation.
Answer:
Part a) The coordinates of the suspect's car at its final destination are (4,4)
Part b) The distance traveled by the suspect was 10 miles
Part c)
Step-by-step explanation:
The correct question in the attached figure
Part a) What are the coordinates of the suspect's car at its final destination?
we know that
The original position is the origin of a Cartesian coordinate system (0,0)
1) The suspect's car was tracked going 5 mi due east
That means----> 5 mi at right
the new coordinates are (5,0)
2) The suspect's car was tracked going 4 mi due north
That means----> 4 mi up
the new coordinates are (5,4)
3) The suspect's car was tracked going 1 mi due west
That means----> 1 mi at left
the new coordinates are (4,4)
therefore
The coordinates of the suspect's car at its final destination are (4,4)
Part b) What was the distance traveled by the suspect?
The distance traveled is
5 mi due east + 4 mi due north + 1 mi due west
therefore
The distance traveled by the suspect was 10 miles
Part c) What is the distance as the crow flies between the original position and the final position of the suspect's car?
the formula to calculate the distance between two points is equal to
Remember that
The original position was (0,0) and the final position was (4,4)
substitute in the formula
