Rigid motion is the way of moving an object such that after the motion the relative distance between the points stay the same in the same way that the relative position is the same. The answer to this question is dilating the figure by a scale factor of one half.
The original can be rewritten as

. Because i^2 is equal to -1, we can replace the -1 in each radicand with i^2, like this:

. Now, i-squared is a perfect square that can be pulled out of each radicand as a single i.

. 24 has a perfect square hidden in it. 4 * 6 = 24 and 4 is a perfect square. So let's break this up, step by step.

and then

. We will now multiply the i and the 2i, and multiply the square root of 6 times the square root of 6:

. 36 itself is a perfect square because 6 * 6 = 36. So we will do that simplification now.

. Multiplying the 2 and the 6 gives us

. But here we are back to the fact that i-squared is equal to -1, so 2(-1)(6) = -12. See how that works?
Answer:2
Step-by-step explanation:
Answer:(x+5i) (x-5i) is the right answer
Answer: b. 14 pounds
Step-by-step explanation:
Formula to calculate average :

Let x denotes the number of pounds the last person have to gain so that the group can attain its goal.
Required average = 10 pounds
Observations = 9, 13, 11, 6, 7 and x (pounds)
Number of observations= 6
Sum of all observations = 9+13+ 11+ 6+7+x=46+x
According to the question , we have

i..e the last person has to gain 14 pounds so that the group can attain its goal.
Hence, the correct answer is b. 14 pounds .