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Which of these points are 45\sqrt{45} units away from (−3,1)(-3,1)? Select all that apply.\newlineMulti-select Choices:\newline(A) (0,7)(0,7)\newline(B) (−6,−5)(-6,-5)\newline(C) (3,−2)(3,-2)\newline(D) (−9,4)(-9,4)

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Full solution

Q. Which of these points are 45\sqrt{45} units away from (−3,1)(-3,1)? Select all that apply.\newlineMulti-select Choices:\newline(A) (0,7)(0,7)\newline(B) (−6,−5)(-6,-5)\newline(C) (3,−2)(3,-2)\newline(D) (−9,4)(-9,4)
  1. Calculate distance for point A: Calculate the distance from (−3,1)(-3,1) to each point using the distance formula: (x2−x1)2+(y2−y1)2\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}.
  2. Check distance for point A: Check if 45\sqrt{45} equals the calculated distance for point (A)(A).
  3. Calculate distance for point BB: Calculate the distance to point (BB).
  4. Check distance for point B: Check if 45\sqrt{45} equals the calculated distance for point (B)(B).
  5. Calculate distance for point CC: Calculate the distance to point (CC).
  6. Check distance for point C: Check if 45\sqrt{45} equals the calculated distance for point (C)(C).
  7. Calculate distance for point DD: Calculate the distance to point (DD).
  8. Check distance for point D: Check if 45\sqrt{45} equals the calculated distance for point (D)(D).

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