Which of the following tables represent input and output values of a linear function? Select all that apply. Graph them on grid
paper, if needed.
Input Output
1 3.5
2 5.5
3 7.5
4 9.5
Input Output
3 3
5 5
6 6
8 8
Input Output
0 1
1 2
2 5
3 10
Input Output
2 8
4 9
6 10
8 11
Input Output
1 3.5
2 5.5
3 7.5
4 9.5
Input Output
3 3
5 5
6 6
8 8
Input Output
0 1
1 2
2 5
3 10
Input Output
2 8
4 9
6 10
8 11
1 answer:
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Answer:
Minimum value =
- Set up the function in general form
- Determine the direction of the graph
- Calculate -b/2a
- Find the corresponding f(x) value
- Write your quadratic function in standard or vertex form
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Option a: is the length of b
Explanation:
The angle of B is and
We need to determine the length of b.
First, let us determine the angle of A.
Since, ABC is a triangle, then all the angles add up to 180°
Thus, we have,
Thus, the angle of A is
Now, we shall determine the length of b using the sine law formula.
The formula for sine law is given by,
where ,
,
Thus, we have,
Simplifying, we get,
Multiplying both sides by 0.866, we get,
Multiplying the numerator, we have,
Dividing, we get,
Thus, the length of b is
Hence, Option a is the correct answer.