25. What is the standard equation of the hyperbola whose foci are F1(-4v2, 0) and F2(4V2, 0), such that for any point on it, with an absolute difference of 6? C.どーニ=1 A. ージ=1 B. -ア=1 D. 25 = 1 16 16 25 16 9

Q: Consider the parabola y=ax^2+bx+c, where a, b, and c are constants. (a) Determine the vertex form…

A: (a) Vertex Form of the Parabola:The vertex form of the parabola  is:where (h, k) is the vertex of…

Q: Write the general form equation of the parabola that passes through (3,-13) with vertex at (5,-1)

A: We use f(x) =a(x-h)²+k where vertex is (h,k).

Q: use the method of completeing the sqaure to find the vertex of the parabola whose equation is…

A:

Q: What is the equation of the parabola with axis parallel to the x-axis, whose vertex is at (-1,7) and…

A:

Q: 66. One parabola at the right has the equation y-&-4)+ 2. Which equation represents the second…

A: Solution is given as below:

Q: What is the equation for a sphere centered at the point (4,-3,-7) with a radius of 5.

A: The general equation for a sphere in three dimensions is given by (x - h)^2 + (y - k)^2 + (z - l)^2…

Q: True or False The equation 3x2 + Bxy + 12y2 = 10defines a parabola if B = - 12.

A: It is known that ax2+bxy+cy2+d=0 represents the parabola if b2-4ac=0.

Q: Find an equation for the hyperbola whose transverse axis is horizontal, with center at (1, -5) and…

A: Given problem:- Find an equation for the hyperbola whose transverse axis is horizontal, with center…

Q: what is the opening of the parabola? x^2-y+4=0    a. right b. left c. upward d. downward

A: Given: y=x2+4 We know that equation of parabolay=ax2+bx+c, open upward if a>0 and open downward…

Q: Write an equation of the ellipse in standard form ((x-h)/a)^2 + ((y-k)/b)^2 =1

A: Standard form of ellipse isx-h2a2+y-k2b2=1

Q: QUESTION Consider P4 be a set of all the point on a plane through the origin in R4. The general…

A: Given: P4=w,x,y,z∈R4 | aw+bx+cy+dz=0, a,b,c,d are constants not all zero We have to show that P4…

Q: Q/Using the definition, find the equation of a parabola if you know: 1_ The focus (0,-4) and the…

A:

Q: Find an equation of the parabola with vertex (-5,-4) and directrx y =-11,

A:

Q: atelite dish ha

A: The equation of the parabola is x2=4ay. Where, a is the focal length of the parabola.

Q: What is the radius and center of the equation x^2-6x+y^2+8y-39=0

A:

Q: Determine the standard equation of the parabola opening upward, with focus at (0,6) and whose length…

A: