Check out the attached image.
Figure 1 moves to figure 2 after the translation rule (x,y) ---> (x+1, y+2)
Figure 2 moves to figure 3 after the rotation 90 degrees clockwise around the origin
Figure 3 moves to figure 4 after the translation rule (x,y) ---> (x+2, y-3)
Figure 4 is in quadrant IV. The size does not change
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Answer: Choice B) Quadrant IV; no
Answer:
Below.
Step-by-step explanation:
f(x) = 2(x + 2) - 3 when x ≥ -2
f(x) = -2(x + 2) - 3 when x < -2
Answer:
The correct answer would be D) 4.8x + 1.2 = 3.6; x = 0.5 mile
Step-by-step explanation:
This is because laps would be the dependent variable, so we know the number of them (4.8) would be multiplied by the variable (x). We also know that 1.2 is the constant. Now we can solve to make sure this is the right equation.
4.8x + 1.2 = 3.6
4.8x = 2.4
x = 0.5
The unit rate is another way of saying speed, so we divide the distance over the time. We can pick on any row
If we pick row 1, then, speed = distance/time = 90/2 = 45
Row 2 says the same thing: 135/3 = 45
So does row 3: 225/5 = 45
and so on
Because the speed is 45 mph, the unit rate is 45 miles in one hour. The term "unit" implies how much distance can be covered in one unit of time, in this case 1 hour.
You have the correct answer. Nice work.