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: 4. Determine whether the graph of the equation is a hyperbola or a pair of two intersecting lines.…

A: (a) Given,             25x2-16y2-250x+128y-31=0

Q: Write the equation of the hyperbola 36x? – 25y? + 288x – 150y – 549 = 0 in standard form (x – h)?…

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Q: Describe the part of a hyperbola given by the equation.

A: Given equation is  x=23y2-36

Q: Find the equation of the parabola, y = ax^2 + bx + c, that passes through the points (0,5), (2,-5),…

A: we have to find the equation of the parabola y=ax2+bx+c that passes through the points (0,5), (2,-5)…

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A: To find the equation of parabola that has tis vertex at the origin and has directrix at y=-17

Q: What is the standard form of the parabola, y + 2x + 10y + 9 = 0, given in conic form?

A: Do some rearrangement in the equation of given conic to convert it in standard form of equation

Q: Find the equation of tangent lines to the ellipse parallel to the line y =3. The equation of ellipse…

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Q: Which of the following equations represents the parabola with vertex at (3, 2) and directrix y = 4?…

A: To find out the equation of the parabola.

Q: ind of an equation of a hyperbola in the form x2 / M

A: Given that:                               Centre of the hyperbola = Origin=(0, 0)Length of…

Q: Find an equation of the hyperbola that has foci at (0,-13) and (0,13), and asymptotes y=5/12x and…

A: The hyperbola that has foci at (0,-13) and (0,13), and asymptotes y=5/12x and y=-5/12x. To find…

Q: Which is the standard equation of the hyperbola centered at the origin, with a vertical transverse…

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Q: 31. Find the coordinates of the focus of the parabola whose equation is x² – 18x + 24y + 273 = 0. С.…

A: Since you have asked multiple unrelated questions in a single request, we would be answering only…

Q: Find the equation for the parabola that has its focus at The equation is: 19 (- 음.. 4 -7 and has…

A: Given: Parabola has its focus at -194,-7 and has directrix at x=354 To find equation of parabola.…

Q: Find the value of Y for the hyperbola defined by the equation y² – x² = 7 at the point (3, 4). dx2

A: The equation is y2-x2=7. First find the value of dydx as follows.…

Q: Find the general equation of the parabola with vertex at the origin and focus at (-4, 0)

A: The general equation of a parabola with vertex (h,k) is (y-k)2=4a(x-h)

Q: Find the equation of the parabola, y=ax^2 + bx + c, that passes through the points (1,4), (-1,0),…

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Q: find the equation of the parabola y = ax? + bx + c that passes through the points. (0, 3), (1, 4),…

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Q: Find the equation of the Hyperbola whose Foci are at (7,9) and ( 35,9),and the length of its…

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Q: The parabola y=x^2+13 has it's focus at the point (b,c) where  b= c=

A: The given equation of the parabola is, y = x2+13. Also the parabola has its focus at (b, c).Consider…

Q: 2 Write the equation of the hyperbola – 25 · x? + 16 · y² = 400 in standard form + = 1 %3D

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Q: Find the equation of the tangent to the hyperbola x2 - 4y2 = 9 at (5, 2).

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Q: Find the equation of the parabola y = ax? + bx + c passing through the points (0, 6), (- 2, 2), and…

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Q: Write the equation of the parabola with vertex at (-9, 0) and directrix at x = -10 a) + 9 1,2 49 b)…

A: Given

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

A: Equation of parabola that have an axis of symmetry parallel to y-axis and the vertex at h,k is…

Q: Given the general form of a parabola x2+8x-12y+11=0, what is the equation of the directrix? y=_____.…

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Q: Find the equation of the parabola whose focus is at (-1,-1) and directrix is the line 2x+3y-1=0

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Q: Find the equations of the osculating circles of the parabola y = 3(x – 2)2 at the points (2,0)

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Q: Find the standard equation of the hyperbola with the stated conditions. Vertices at (2,-5) and…

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Q: Find the equation of a hyperbola whose vertices are (+2,0) and whose foci are (+5,0). x2 A) 4 = 1 21…

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Q: Determine the equation of the parabola vertex at (-4,-8) directrix is x=0.

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Q: ind the equation y=ax^2+bx+c of the parabola that passes through (-2,0),(0,14),(7,0

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Q: Find the standard form of the equation of the hyperbola satisfying the given conditions: Endpoints…

A: Since, endpoints of trnsverse axis lie on y-axis,so transverse axis of hyperbola is y-axis, so the…

Q: nd the equation of the parabola with vertex at (5,-2) and focus at (5,-4). (x – 5)² = 8(y + 2) (x +…

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Q: What is the standard form of the equation of the parabola with the focus (-3, 6) and the directrix y…

A: GIVEN: focus (-3, 6) Directrix y = -2

Q: What is the equation of the given parabola? y 4 -5-4-3-2 1 2 3 4 5 A y= 3x² 6x +3 I23 45

A: Here zeros form equation y=a(x-p)(x-q) p,q are zeros of equation

Q: Find an equation for a parabola that has its vertex at the origin and satisfies the following…

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Q: help in 30mins pls

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Q: What are the equations of the asymptotes of the hyperbola? (z+1)* _ y-3}° (v-3)? 16 25 Enter your…

A: The equation of the given Hyperbola is: (x+1)225-(y-3)216=1

Q: Write the equation of the hyperbola 9x² – 4y? – 54x + 32y – 19 = 0 in standard form (x – h)? (y –…

A: Write the equation of the hyperbola  9x2 - 4y2 -54x +32 y  -19 =0 In the standard form  (x-h)2 /a2 -…

Q: Which are the foci for the hyperbola modeled by the equation (Y-32 (x-1)² _ -1? 36 13

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Q: Write the equation of the hyperbola 25z – 16y + 150z + 64y- 239 = 0 in standard form %3D (2 - h) (y-…

A: Equation of hyperbola 25x2+ 150x-16y2+64y-239= 0 25( x2+6x)-16(y2-4y)= 239…

Q: Write an equation for the hyperbola that has foci at (0, v65) and (0, - v65), and asymptotes y =…

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Q: Write the equation of the hyperbola 25z - 16y + 150z + 64y – 239 = 0 in standard form (z – h) (y-…

A: Equation of hyperbola 25x2-16y2+150x+64y-239=0 25x2+150x-16y2+64y=239 25(x2+6x)-16(y2-4y)= 239…

Q: 12. Determine the equation of the directrix for the parabola 20x=y2–10y+30 а. X-20 b. y=-20 с. X3-20…

A: Question : Determine the equation of the directrix for the parabola 20x = y^2 - 10y +30.

Q: Find the equations of asymptote lines of the hyperbola x? -y² - 6 x +6 y= 25 Select one: O None Oy =…

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Q: Find the slope of the ellipse x^2 + 4y^2-10x- 16y +5=0 at the point where y=2+ 8 0.5 and x-7* O…

A: Given equation of the ellipse is as following: x2+4y2-10x-16y+5=0. We know that the slope of an…

Q: Find the standard form equation for a hyperbola with vertices at (0, 21) and (U, y = 74 T

A: Given :Vertices : 0, 21 and 0, -21y=74x

Q: Which is the equation of a parabola with a directrix at y = 2 and a focus at (5, 0).

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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.