What is the measure of angle x? Enter your answer in the box.
2 answers:
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we have
This is a vertical parabola open upward
The axis of symmetry is equal to the x-coordinate of the vertex
The vertex is the point (h,k)
the equation of the axis of symmetry is
In this problem
so the x-coordinate of the vertex is
<u>Convert the quadratic equation in vertex form</u>
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Factor the leading coefficient
Complete the square. Remember to balance the equation by adding the same constants to each side
Rewrite as perfect squares
remember that
so
substitute in the equation
therefore
<u>the answer is</u>
For this case we have a direct variation of the form:
Where "k" is the constant of proportionality. To find it, we use the following data:
Substituting:
Clearing the value of k:
Thus, the direct variation is given by:
For we have:
Answer:
The value of the direct variation for is: