Answer:
(3, 3) × 13 = (39, 39)
(0, 3) × 13 = (0, 39)
(6, -6) × 13 = (78, -78)
(9, 6) × 13 = (117, 78)
Step-by-step explanation:
Because the center of dilation is at (0, 0), or the origin, we can just multiply the x and y values of each point by the scale factor of 13.
(3, 3) × 13 = (39, 39)
(0, 3) × 13 = (0, 39)
(6, -6) × 13 = (78, -78)
(9, 6) × 13 = (117, 78)
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Answer:
a. No
b. Yes
c. No
Step-by-step explanation:
a. For BC and B'C to both be parallel to the y-axis when BC is parallel to the y-axis the figure must be rotated by a multiple of 180 degrees.
b. When you rotate a figure none of the angles in the figure change.
c. For D and D' to have the same coordinates the figure must be rotated by 360.
Answer: D(-2, -4)
All you have to do in this situation is make your answer negative, because they will both be going to the negative side. This also would be the same thing for if they are already negative you turn them positive.
Hello!
To solve this, you are trying to convert one side to a quadratic equation and the other to just 0. Then, solve the equation.
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First, move the /2 to the other side of the equation.
(a+1)/2 = 1/a
a+1 = 2/a
Next, multiply both sides by a.
a+1 = 2/a

And then subtract both sides by 2. This will get you to a quadratic equation.


Now, factor the equation. When we're factoring, we are looking for the form (a + b)(a + c), where b + c must equal 1 (the coefficient of a) and b*c must equal -2. In this case, b = 2, and c = -1.
Therefore:

(a + 2)(a - 1) = 0
To get the answer, recall that anything multiplied by 0 is equal to 0. Therefore, to get the left side to equal 0, either (a + 2) or (a - 1) must equal 0. To do this, a must either be -2 or 1.
Therefore, a = -2, or a = 1.
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Check your work:
(-2 + 1)/2 = 1/-2
-1/2 = -1/2
(1 + 1)/2 = 1/1
2/2 = 1/1
1 = 1
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Hope this helps!