Omi67

Let H be the hyperbola with foci at +/-(5, 0) and vertices at +/-(3, 0), and let C be the circle with center (0,0) and radius 4. Given that H and C intersect at four points, what is the area of the quadrilateral formed by the four points? 

For  what value of K will the line with equation  y=kx be tangent to the circle with equation ( x-7)^2 + (y-6)^2 =9 ? 

For a certain hyperbola x^2/a^2 - y^2/b^2 = 1 where a > b, the angle between the asymptotes is 60 degrees. Find a/b. 

What is the equation of this ellipse?

Find the asymptotes of the hyperbola x^2 - 2x - 4y^2 - 16y - 19 = 0.

For what values of K does the circle (x-2k )^2 + (y-3k)^2=10 pass through the point (1,0) ? 

Das gilt für alle Funktionen, egal ob Polstellen oder keine.

2/x = 3     |*x

  2 = 3*x   | :3

2/3 = x
x = 2/3

1) The sides of a triangle are $16,$ $17,$ and $17.$ Find the circumradius.

2)The sides of a triangle are 6,8  and  10.If x is the area of the circumcircle, and y is the area of the incircle, then find x-y

3) The sides of a triangle are $16,$ $17,$ and $17.$ Find the inradius.

4) In triangle  ABC, M is the midpoint of  line AB. Let D be the point on line BC such that line AD bisects angle BAC and let the perpendicular bisector of line AB intersect line AD at P. If AB = 36 and MP = 9 then find the distance from P to line AC.

Solve x^4 - 2x^3 - 15x^2 >= 0.  Show all your steps!