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weqwewe [10]
3 years ago
9

10 points

Mathematics
1 answer:
ollegr [7]3 years ago
5 0

Answer:

FC=25.9

Step-by-step explanation:

<u>Congruent Triangles</u>

The figure shows two triangles FCD and FED. One of their sides is the radius of the circle, they both form a 90° angle with the line CD and ED and they share the same segment FD.

Thus, both triangles are congruent and we have the length of a side (12 units), one common side (the hypotenuse) and one unknown leg that must be equal. Therefore

13x-16=4x+11

Solving

9x=27

x=3

The required side FD is the hypotenuse of any of the triangles. The unknown leg can be calculated by

13x-16=23

Or

4x+11=23

Thus

FD^2=12^2+23^2=673

Solving

FD=\sqrt{673}

\boxed{FC=25.9}

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Step-by-step explanation:

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A parabola can be drawn given a focus of (6,-1) and a directrix of y = 9. What can be said about the parabola?​
zavuch27 [327]

Answer:

Since the focus is at (-6,-11) and the directrix is at y=9:

 

The vertex is halfway between the focus and the directrix, so the vertex is at (-6,-1).  (Draw this on graph paper if that doesn't make sense.)

 

The general form (conics form) of a parabola:  4p(y-k)=(x-h)^2 (vertex is (h,k) and "p" is the distance between the focus and vertex (or between vertex and directrix)).

 

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Step-by-step explanation:

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