Answer:
(1,2)
Step-by-step explanation:
x+4y = 9
2x -4y= -6
Add the equations together
x+4y = 9
2x -4y= -6
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3x +0y = 3
3x=3
Divide by 3
3x/3 = 3/3
x=1
Now find y
x+4y = 9
1 +4y =9
Subtract 1 from each side
4y = 8
Divide by 4
4y/4 = 8/4
y =2
J = K = 45° or 315°
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Answer:
C = 1.
Step-by-step explanation:
x^2 - 2x = (x - 1)^2 - 1 so:
x^2 - 2x + C = (x - 1)^2 - 1 + C
So to get a perfect square C must be 1 ( as -1 + 1 = 0):-
(x - 1)^2 - 1 + 1 = (x - 1)^2
Checking this:
x^2 - 2x + 1
= (x - 1)(x - 1) which is a perfect square./
Answer: The answer is (C) (4,1).
Step-by-step explanation: Given points are A(0,3), B(-1,4) and C(2,-1). Obviously, these points will form a triangle. We need to find the co-ordinates of the point B', which is formed after rotating the figure counter-clockwise 90 degrees.
The point B(-1,4) lies in the second quadrant. After rotating 90 degrees counter-clockwise, the this point will lie in the first quadrant. So, both the x-coordinate and y-coordinate will be positive. Also, the two coordinates will exchange. Please see the attached figure.
Thus, the coordinates of point B' are (4,1).
Hence, (C) is the correct option.