18. Find the foci of the hyperbola. -号=1 * = 46 O (0, 7), (0, – 7) O (9, 0), (–9, 0) O (0, 9), (0, – 9) - O (7, 0), (–7, 0)

Q: The following hyperbolas are confocal: x2/4 –y2/8 =1 and x2/6 –y2/k =1. What is the value of k

A: As per company guidelines we can solve first question. I hope that the given solution will help you.…

Q: Which are the foci of the hyperbola represented by 5y² - 4x² - 80 = 0? O(-8,0) and (6.0) O (0,8) and…

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Q: Draw the parabola's axis of symmetry. 6+ 5+ 3+ 2+ 1+ -7 -65 -4 -3 -2 +>ェ 3 4 56 7 -4+ -5

A: Axis of symmetry

Q: 3) Fit a parabola to the data. X 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 y 3.1950 3.2299 3.2532 3.2611…

A: Given : x y 0 3.195 0.1 3.2299 0.2 3.2532 0.3 3.2611 0.4 3.2516 0.5 3.2282 0.6…

Q: 3) Fit a parabola to the data. 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 y 3.1950 3.2299 3.2532 3.2611…

A: A second-degree ee equation represents a parabola. The general equation of a parabola is y =…

Q: The vertex of the parabola f(z) = + 6z + 7 is O (-3,-2) O (-6,-18) O (-6, -2) O (-3,5) O (-9,-2)

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: What is the equation of the parabola containing the points (0, 5), (–1,9), and (2, 3)? O y = r-z+5 O…

A: The standard form of a parabola is y=ax2+bx+c. The required parabola passes through the 3 points are…

Q: 5. Find the DE ofhyperbolas b²x² - a²y² = a²b²

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Q: 3) Fit a parabola to the data. X 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 y 3.1950 3.2299 3.2532 3.2611…

A: The equation of a parabola is y=a+bx+cx2. The method of least square can be used to obtain the best…

Q: Using the property of Re z and Im z to show that the hyperbola x2 - y2 = 1 can be written as: z² + (…

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Q: The vertices of the hyperbola y = 5+ ( x² + 9 )0.5 are Select one: O(0,-3) and (0,3) O(8,0) and (…

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Q: 4.The parabola opens O A. upward O B. forward O C. backward O D. downward

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Q: A] Find the length of the arc of the semi-cubical parabola y² = x3 (1,1) and (5,5V5). between the…

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Q: 5. Identify the focus of the parabola given by y = 8x². O (0,) O (-8,0) O (0,0) O (8)

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Q: 3. Find the vertex form of the parabola tnat passes through the point (-1,2) and has a vertex…

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Q: 9. ers 810, Consider the hyperbola with its equation x2 =y² + 9 %3D 9. What is the length of the…

A: Solve the above questions.

Q: 9) Find the point on the parabola y = 10-x² closest to the point (0, 5.5).

A: Given question:- Find the point on parabola y= 10-x2 closest to point (0,5.5)

Q: 8. Find a, b and c so that the parabola whose equation is y = ax² + bx + c has the vertex at (3,2)…

A: As we know that for the parabola y=ax2+bx+cthen its vertex is given by (-b2a,4ac-b24a)

Q: Determine the length of the latus rectum of the following conic section: 16z + 9y? - 64.x- 54y+1 0 O…

A: 16x2+9y2-64x-54y+1=016x2-64x+9y2-54y=-116(x2-4x)+9(y2-6y)=-116(x2-4x+4)+9(y2-6y+9)=-1+64+8116(x-2)2+…

Q: How to convert 3y^2-x^2-9=0 into standard form? I know it is a hyperbola.

A: Answer and explanation is given below..

Q: What kind of conic section (or pair of straight lines) is given by the quadratic form Q(x1, x2) = x…

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Q: Identify the conic section and graph. (x+7)^2/5^2+(y+3)^2/3^2=1

A: On simplification, we get Now it is in the form of . Therefore it represents an ellipse.

Q: The vertices of a hyperbola are at (-5, -2) and (-5, 12), and the point (-5, 30) is one of its foci.…

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Q: Determine the asymptotes of the hyperbola, which is centered at  (x, y) = (5, 9). 4(x − 5)2 − 9(y −…

A: Asymptotes to the hyperbola given by (x-p)2a2+(y-q)2b2=1 are  (y-q)=-ba(x-p)           and…

Q: Q5: Find the coordinates of vertices of the hyperbola x² – 4y2 – 4x – 8y – 4 = 0 - - (-1,4),(-1,0)…

A: We have to find vertices of hyperbola.

Q: The center of the hyperbola 25x² – y + 150x – 6y+191=0 is %3D A (-3,-3) B (3,-3) (3,3) D (-3,3)

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Q: How do I solve this optimization problem?

A:

Q: 2. A parabola with axis parallel to the x-axis and passing through (5,4), (11, –2) and (21, –4)

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 6. Find an equation of the sphere that passes through the origin and whose center is (3, 1, 3).

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Q: 2. Identify the conic section given by y² + 2y = 4x² + 3 Find its vertex/vertices and focus/foci.

A: We rewrite the equation as: This is an equation of a hyperbola.

Q: [1] What is the c value of a parabola with a Vertex of (4,2) and a Focus of (4,4)?

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: The Foci of the hyperbola y = 5±(x² -18)0.5 are Select one: 0(-6,5) and (6,5) O(0,11) and (0,-1) 0(…

A: Given: The equation of hyperbola as y=5±x2-180.5, To find: The foci of the hyperbola.

Q: What are the asymptotes of the hyperbola 9æ? – 4y? – 18æ + 24y + 9 = 0 O (y – 3) = +(x – 1) ㅇ (y-3)…

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Q: 28. Find the directrix for the parabola. (y+ 3)2 + 8 2x x = 4 y = } 7/2

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Q: What point on the parabola y = 3- x² is closest to the point (3,3)? The point on the parabola y = 3…

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Q: 3) Fit a parabola to the data. X 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 y 3.1950 3.2299 3.2532 3.2611 |…

A: The equation of parabola : y=a+bx+cx2 . And, normal equations are : ∑y=an+b∑x+c∑x2 ∑xy=a∑x+b∑x2+c∑x3…

Q: What are the intersections of the conic section formed by the points A(0,1),B(2,3),C(5,4),D(1,…

A: Below are graph and input view.

Q: The parabola y + 2y + 8x –7=0 has vertex at O (-1, –1) o (-1,1) о (1,-1) о (1,1)

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Q: What point on the parabola y = 1-x is closest to the point (1,1)? The point on the parabola y = 1-x2…

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Q: 4x? + у? - 327 25 3z2 = 25

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Q: 1. Trapezoid JKLM with vertices J(-6, 6). K(-3,7), L(-1.3), and M-8, 0): (x, y) (x+7, y-3) J'() K'…

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: 29. Find the vertices of the hyperbola. (y-8)? 4 (+12)2 6. 3D1 O (-9, 8), (–15, 8) O (-10, 8), (–14,…

A: Given: (y−8)24−(x+12)29=1 Equation of hyperbola opening upward and downward in standard form follows…

Q: 1. The vertex of the parabola y – 5 = (x + 8)°. A. (5,-8) В. (-5,8) С. (8,-5) D. (-8,5)

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: . Find the vertices of the hyperbola. 16x2 - 9y? = 144 %3D (0, O (0, - 3) and (0, 3) O (0, - 4) and…

A: This question is related to hyperbola, We will solve it using given information.

Q: 1. F = [2², -x², 0], S the rectangle with vertices (0, 0, 0), (1, 0, 0), (0, 4, 4), (1, 4, 4)

A: As given that,  F→=z2i^-x2j^+0k^ Calculating curl F,…

Q: 6. Find the parabola y = ax² + bx +c passing through the points (–2, –6), (1, 6), and (3, 4).

A: Lagrange polynomials are used for polynomial interpolation. For a given set of distinct points xn…

Q: 33) Find the points of intersection between the line x - y - 2 = 0 and the parabola y = 4 - x 2.

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Q: Determine the coefficients a, b, and c of the parabola y = ax² + bx +c that passes through the point…

A: Solution is here