The center of a circle is at the origin on a coordinate grid. The vertex of a parabola that opens upward is at (0.9). If the circle intersects the parabola at the parabola's vertex, which statement must be true?

The circle has radius = 9 units, and its equation is:

The parabola has equation of the form:

with  being a positive number

Step-by-step explanation:

Given the characteristics of the two figures (circle and parabola) as described,

since the parabola intersects the circle at a single point (it vertex) then the radius of the circle centered at the origin must be 9. that makes the equation of the circle to have the following standard form;

Since there is no other info regarding the parabola, the most one can say about the equation of the parabola, is that in vertex form, the parabola's equation must be of the form:

with  being a positive number.

step-by-step explanation:

i think it is everything has to equal 180 so, if i correct 4=c. 6=d. 8=a. 7=b. and the last question would be c. because they are parallel lines and they are congruent.

step-by-step explanation:

the reason everything has to equal to 180 is because that is how it works. i'm guessing that is its rule. 4 and 8 are congruent and parallel so, that would be 30+30 because they have the same number. it would equal 60. 6 and 7 are congruent and parallel so, that would be 30+30 because they have the same number. it would equal 60. 60+60 is 180. so, now you have your answer