40 points!! What does this graph represent

Option "B" as per the list of possible answers

Step-by-step explanation:

Notice that the parabola has a minimum at the point (2, 1), therefore first look at which of the options gives you  . You would be able then the discard the last two functions listed (they render "-1" (not 1) for x = 2.

Now to decide between the first and the second option, notice that the first option has a negative coefficient (-0.2) multiplying the perfect square which means that the branches of such parabolic function would be pointing down. So you discard the first option, and now the only one left is the second option:

which you can check briefly by evaluating a couple of easy points  (like what values you get for x = 0, and at x = 4, and confirm it is the correct option.

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq