Answer:
-5.457875
Step-by-step explanation:
If e is between them, then the distances DE and EF add to the total, DF. So the answer is just 27 + 34 which is 61, A
Answer:
AC = 30
Step-by-step explanation:
Start with:

Combine like terms.

Subtract
from both sides of the equation.

Subtract
from both sides of the equation.

Then, substitute
for
in 

Multiply.

Finally, add.

Answer:
the handle will end up on the left side
Step-by-step explanation:
The cup is rotated 180 degrees clockwise. Therefore, I assume the rotation is about the center of the bottom of the cup. Also, only the cup is rotated, not the saucer (although this makes no difference in this problem).
The result is that the handle will end up on the left side. The cup will still be right side up.

↝ Form into
where a > 0 (Optional)
↝ Multiply -1 for both sides.
↝ Then proceed with the Quadratic Formula.
x = [-b ± (√b²-4ac)]/2a ↝ Quadratic Formula

↝ As you can see that inside the square root, the numbers cannot be negative. Therefore, the solutions are imaginary.
↝ Solution with Real Numbers System ↝ There are no real solutions.
↝ Solution with Complex Number System ↝

Therefore, the answer for Complex Number System is (5±√7i)/2