The answer is B, 10.
Step-by-step explanation: You plug in the values where the variables are, then follow PEMDAS, beginning with 5 times 3.
<span>y=−1/3x+1
</span>x = -6, y = −1/3(-6) +1 = 3<span>
x = -3, y = </span>−1/3(-3) +1 = 2<span>
x = 0, y = 1
</span>x = 3, y = −1/3(3) +1 = 0
x = 6, y = −1/3(6) +1 = -1
<span>
Table
x y
-6 3
-3 2
0 1
3 0
6 -1
</span>
Answer:

Step-by-step explanation:
tan(30°) = 
cot(30°) = 
sin(60°) = 

<h3>
Answer: b = 4 and c = 7.</h3>
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Explanation:
Comparing y = x^2+bx+c to y = ax^2+bx+c, we see that a = 1.
The vertex given is (-2,3). In general, the vertex is (h,k). So h = -2 and k = 3.
Plug those three values into the vertex form below
y = a(x-h)^2 + k
y = 1(x-(-2))^2 + 3
y = (x+2)^2 + 3
Then expand everything out and simplify
y = x^2+4x+4 + 3
y = x^2+4x+7
We see that b = 4 and c = 7.
Answer:
Any letter you want
Step-by-step explanation:
The letters used for variables don't matter. What matters is what the variables represent: their numerical value. Variables are just to help identify what needs solving. Other common variables are a, b, and c which are found frequently in trigonometry. To answer your question, there are no "next letters." You can use any letter you'd like as a variable because it holds the same numerical value. Basically, the whole alphabet is at your disposal.