D is the correct answer
good luck
Answer:
VW = √2
Step-by-step explanation:
y = x+1
x²+y²+2x+2y+1=0 (x²+2x+1) + (y²+2y+1) = 1
(x+1)² + (y+1)² = 1 : Circle: (x-h)² + (y-k)² = r² Center (O): (h , k) = (-1 , -1) r = 1
solve for roots: x²+(x+1)²+2x+2(x+1)+1=0
2x² + 6x + 4 = 0 x²+3x+2=0
(x+1)(x+2)=0
x = -1 or x = -2
y = 0 or y = -1
V and W: (-1 , 0) and (-2 , -1) forms a 90° center angle
√vw = √1²+1² = √2
Answer:
b
Step-by-step explanation:
Answer: UW= 9√3
Step-by-step explanation:
This right triangle is a 30-60-90 triangle. This is a special triangle. Since this is a special triangle, the hypotenuse is 2x.
The hypotenuse is 18. We can figure out the length of x.
2x=18
x=9
Since we got 9, you would think it is the answer, but it's not. The length across the 60° angle is x√3. Now that we know the length across from 60°, we can plug in x.
9√3
We can check our answer by using Pythagorean Theorem.
9²+(9√3)²=18²
81+243=18²
324=324
Since they are equal, we know we have the right answer.