Step-by-step explanation:
If a triangle is rotated 90° about the origin.
The rule that describes the transformation is
(x, y) → (–y, x)
For this problem you must do Pythagorean theorem:

In this example 10ft is c and 7ft is a (or it could be b, and you'll be solving for a instead of b. It's the same thing, since a and b are both legs)
Plug what you know into the equation:

49 +b^{2} = 100
Bring 49 to the right side by subtracting it:
b^{2} = 51
Now you still must isolate b. The opposite of squaring is taking the square root so take the square root of both sides to cancel it from the left side:

b = 7.1414
b ≈ 7 ft
Hope this helped!
Answer: D.-6 and F.3
Step-by-step explanation:
The given rational number : 
To find : The value of x , where the rational expression becomes equal zero.
Let's check all the options :
A. 7
At x= 7 , 
B. -7
At x= 7 , 
C. 6
At x= 6 , 
D. -6
At x= -6 , 
E. -3
At x= -3 , 
F. 3
At x= 3 , 
Thus, at x= -6 and 3 , the rational expression equals to zero .
So , the correct options are : D.-6 and F.3