A hyperbola has the equation 9x? + 4y = 24xy + 8x – 5y – 188. Find the equation of the line that is tangent to this hyperbola at the point (4,4). Write your answer in slope-intercept form.

Q: Find an equation of the parabola with vertex (-2,-4) and directrix y=-9.

A: given vertex (h,k)=(-2,-4) h=-2,k=-4 directrix y=k-p=-9                  p=k+9                p=-4+9…

Q: Draw the hyperbola with the equation: 3x? – 2y² + 6x – 8y = 6.

A:

Q: Find an equation of the parabola with vertex , −1−2 and focus , −5−2 .

A: Given information:The vertex of parabola is (1,2).The focus of parabola is (5,2)

Q: Find an equation of the parabola with vertex , 34 and directrix =y2 .

A: It is given that the vertex of the parabola is (3,4), where h = 3 and k = 4 and the directrix is y =…

Q: Which equation represents the parabola graphed on the coordinate plane below? Ay-x-8²-6 А directrix…

A: Vertex form of parabola with vertex h,k⇒y=ax-h2+k

Q: Find the y-intercept (b=) of the line 8x+5y=20 *

A: Given line is: 8x+5y=20 For calculating the y intercept, put x=0 So,  8×0+5b=205b=20b=4 is the…

Q: Find the equation of the parabola with vertex at (2,-1), axis is parallel to the y-axis and passing…

A: Equation of parabola parallel to y axis is given by as: (x-h)²= 4a(y-k)

Q: Write an equation of the parabola in vertex form that passes through (13, 8) and has vertex (3, 2).…

A:

Q: Write an equation of the parabola in intercept form that passes through (0, - 18) with x-intercepts…

A: Intercept form of parabola if given by: y=a(x-p)(x-q)  where p and q are x-intercepts.

Q: Graph the equation x2/4+ y2/9 = 1, and give the centerand the endpoints of the major axis

A: Given equation x24+y29=1

Q: (Б) 10 F10 4,0 10 (у— А)2 (х - с? B2 D²

A: Solution:- The labelled figure of above question is given below.

Q: Write an equation of the parabola in intercept form. AY (3, 4) 4 (4,0) 8X (2, 0) An equation of the…

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Q: Find the points of intersection between the line 4y - 3x + 12 = 0 and the ellipse 9x 2 + 16y 2 =…

A: The line 4y-3x+12=0 And the Ellipse 9x2+16y2=144 We need to find the intersection point of the line…

Q: Find an equation of the parabola with vertex (2, −3) and focus (2, −7).

A: (a) The standard  equation of parabola  is           (x - h)2 = 4p (y - k), where the focus is (h, k…

Q: The path of a bottle rocket is shaped like a semi-ellipse. The maximum height of the rocket is 80…

A:

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.