Answer:
(x, y) → (2x - 2, 2y - 1)
Step-by-step explanation:
The original length from Point E to Point G was 2. The length after the figure was transformed is 4. This means that the value of x was multiplied by 2 because 2(the original value) multiplied by 2 equals 4(the new value.)
After the x value is doubled, Point E is found at x = 0 when the transformed Point E is at x = -2. This tells us that the x value has to decrease by 2 after it is doubled.
The original length from Point F to Point H was 4. The length after the figure was transformed is 8. This means that the y value doubled in value, which is the same as saying it was multiplied by 2.
After you double the y value, Point F is found at y = 9, but the fully transformed figure's Point F is found at y = 8. This means that after the y value is doubled it should decrease by 1.
I hope this helps, and let me know if you have any other questions :)
<h3>
Answer: -a > -b</h3>
Explanation:
Let's go over an example.
We'll have a = 1 and b = 7 which makes a < b true. Feel free to pick your own favorite pair of numbers such that b is larger than 'a'.
The corresponding opposites are: -a = -1 and -b = -7
The relationship flips because the opposites of each number are flipped. So instead of saying -a < -b, we have -a > -b
Sure enough, -1 > -7 is a true statement. Use a number line to see this. I recommend a vertical number line.
In short, going from a < b to -a > -b means we flip the signs of each term, and we flip the inequality sign as well.
Answer:
See below
Step-by-step explanation:
625 = 25^2, or (5^2)^2 = 5^4
Answer:
6.75
Step-by-step explanation:
6.75
Answer:
The velocity of Holden's race car is 3m/s
Step-by-step explanation:
Velocity =Displacement/Time
Displacement=Final Position - Initial Position
Now, although e went 20 meters east, turned around, and went 40 meters west. He also turned the car one more time and went 35 meters east.
We are not looking for the distance travelled, we only require his displacement.
Holden's car is 15 metres from his starting line, so his displacement =15m
Time taken =5 seconds
Velocity of the Race Car
=15/5 = 3m/s