Answer:
XY is a tangent
Step-by-step explanation:
Given



Required
Is XY a tangent?
XY is a tangent if:

Because XY should make a right angle at point X with the circle
Where

So, we have:




This gives:



<em>Yes, XY is a tangent</em>
Answer:
c. y = x - 6.
Step-by-step explanation:
It's a straight line whose general form is y = mx + c.
The slope is (0, -6) / (6, 0)
= -6 / -6
= 1 so the coefficient of x , (m) is 1.
The value of c ( the y-intercept) is -6.
Answer:
The length of one side of the square is 3.
Step-by-step explanation:
The perimeter of any given shape is all of the sides added together. So, the perimeter of the triangle is 5x + 4x + 3x. Added together, 12x.
The perimeter of the square is (x + 2)*4. Distributed, it's 4x + 8. Since we know they're equal, set it up like this:
12x = 4x + 8
You then find that x = 1. Plug that into one side of the square, x + 2, to get 3.