26,565 divided by 4.20 = <em>6,325</em>
Answer:
x=1, y=-1. (1, -1).
Step-by-step explanation:
y=2x-3
y=-3x+2
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2x-3=-3x+2
2x-(-3x)-3=2
2x+3x=2+3
5x=5
x=5/5
x=1
y=2(1)-3
y=2-3
y=-1
For this case we have that the distance between two points is given by the following formula:
![d = \sqrt {(x_ {2} -x_ {1})^ 2+(y_ {2} -y_ {1}) ^ 2}](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%20%7B%28x_%20%7B2%7D%20-x_%20%7B1%7D%29%5E%202%2B%28y_%20%7B2%7D%20-y_%20%7B1%7D%29%20%5E%202%7D)
We have the following points:
![(x_ {1}, y_ {1}): (-1,4)\\(x_ {2}, y_ {2}): (2,0)](https://tex.z-dn.net/?f=%28x_%20%7B1%7D%2C%20y_%20%7B1%7D%29%3A%20%28-1%2C4%29%5C%5C%28x_%20%7B2%7D%2C%20y_%20%7B2%7D%29%3A%20%282%2C0%29)
Substituting we have:
![d = \sqrt {(2 - (- 1)) ^ 2+ (0-4) ^ 2}\\d = \sqrt {(2 + 1) ^ 2 + (- 4) ^ 2}\\d = \sqrt {(3) ^ 2 + (- 4) ^ 2}\\d = \sqrt {9 + 16}\\d = \sqrt {25}\\d = 5](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%20%7B%282%20-%20%28-%201%29%29%20%5E%202%2B%20%280-4%29%20%5E%202%7D%5C%5Cd%20%3D%20%5Csqrt%20%7B%282%20%2B%201%29%20%5E%202%20%2B%20%28-%204%29%20%5E%202%7D%5C%5Cd%20%3D%20%5Csqrt%20%7B%283%29%20%5E%202%20%2B%20%28-%204%29%20%5E%202%7D%5C%5Cd%20%3D%20%5Csqrt%20%7B9%20%2B%2016%7D%5C%5Cd%20%3D%20%5Csqrt%20%7B25%7D%5C%5Cd%20%3D%205)
Thus, the distance between the points is 5 units.
Answer:
![d = 5](https://tex.z-dn.net/?f=d%20%3D%205)
Answer:
1. If you draw LMN in the first quadrant of the coordinate plane ( meaning if you draw where both x and y are positive), you will end up drawing L'M'N' in the third quadrant(where both x and y are negative) because the transformation rule of a 180° rotation is (x,y)→ (-x,-y). So for example, if L is (2,3), then, by the 180° rotation rule, L' would be (-2,-3) and that would apply to all the points.
2. When you draw a line through points L and L' or M and M' they create a straight line. In other words, they create a 180° angle. And yes, you would notice the same characteristic if you drew another line that goes through points N and N', and I know this because we use a 180° rotation, so it is going to create a 180° angle, which is a straight line. Another example is if we did a 90° rotation, when we connect points A and A' for example, it would create a 90° angle between the two points. So it's the same in this case but with a 180° rotation.
Step-by-step explanation: the explanation is on the answer.
hope this helps :)