What is the slope of a line with endpoints at (3,4) and (2,5)?
2 answers:
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The complete question is missing, so i have attached it.
Answer:
x = 9(sin 42)/(sin 29)
Step-by-step explanation:
We want to find an expression for x.
From the attached image, we can see a triangle with 2 angles given and 2 sides to be 9 and x respectively.
Now, the law of sines says that;
A/sin A = B/sinB = C/sin C
So applying it to this question, we have;
x/sin 42 = 9/sin 29
Thus,
x = 9(sin 42)/(sin 29)
In this problem, it will be helpful to know the vertex form of a parabola, which is listed below:
is a constant which helps to determine whether the parabola opens up or down. If
, then the parabola opens downward and if
, the parabola opens upwards
is the vertex of the parabola
By looking at the graph, we can first see that the graph opens downwards, meaning that . Thus, choices C and D are not valid. Now, let's use the vertex of the parabola to complete the equation.
The vertex of this parabola is (-1, 3), as shown by the graph. When we substitute this into our formula, we get:
The answer is a, .