1. (-5,-12)
2. (3,-4)
To identify the constant H and K
- You need to write the given equation in vertex form
- Use complete the square method to write in vertex form
- The vertex form is
- after writing the equation in the world storm you can see that there is a h and a k
- Pull the h and the k in into (h,k)
I can't do all of it so I'll do 2 for you and with explanations.
Answer:
B. m∠B = 118°, a = 17, c = 18
Step-by-step explanation:
The answer choices all agree on the values of ∠B and c, so we only need to compute the value of side a.
We can verify angle B is ...
∠B = 180° -30° -32° = 118°
By the law of sines, ...
a/sin(A) = b/sin(B)
Multiplying by sin(A), we get ...
a = b·sin(A)/sin(B) = 30·sin(30°)/sin(118°) ≈ 16.98855
a ≈ 17.0 . . . units . . . . . matches choice B
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If you like, you can also verify side c:
c = b·sin(C)/sin(B) = 30·sin(32°)/sin(118°) ≈ 18.00512
c ≈ 18.0 . . . units
