So what you are looking for is the hypotenuse of the triangle DCF.
We know DC is 3cm, so we need CF.
BC and CF and CF create a right triangle.
Using Pythagorean Theorem, CF is about 10.2
Now using Pythagorean Theorem again, 3^2 +10.2^2=113
The sqaureroot of that is 10.6. So 10.6 is your answer
Answer:

Step-by-step explanation:
→ Simplify the (2/7)² term

→ Simplify the 2² term

→ Evaluate

The image of the dilation is shown below, with the centre of dilation (0,0) and scale factor of 3
The coordinate of C' is (6, -3) which is three times of the coordinate of C(2, -1)
Answer:
x = - 
Step-by-step explanation:
A theorem states that (using letters from in this problem) that:
AB * BE = DC * CE
Applying that you can find that:
11 ( x + 1 ) = 1 ( x + 4 )
11 x + 11 = x + 4
11 x + 11 - x = x + 4 - x
10 x + 11 = 4
10 x + 11 - 11 = 4 - 11
10 x = -7
10 x / 10 = -7 / 10
x = - 