Question 6 In the zy-plane, what is the r-coordinate of the vertex of the parabola whose equation is y= -2z + 12x + 7? Enter your answer in the box.

Q: A hyperbola has its vertices at (0, 4) and (0, - 4), and one focus is at (0, What equation describes…

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Q: Question 42 Determine the general equation of a parabola opening downwards whose vertex is at (3,-4)…

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Q: I. Find the equation in standard form of the specified hyperbola given the following conditions.

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Q: the equation for the parabola that has its vertex at the origin and has a focus at (0, 3.6).

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Q: Question 25 Which is an equation of the parabola that intersects the x-axis at the points (2,0) and…

A: Check from option

Q: 1. Give the coordinates of the center, foci, vertices, and the asymptotes of the hyperbola with the…

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Q: What is the equation of a parabola in standard form with vertex V(3, – 3) and focus F(3, 2)? A (x-…

A: NOTE: Refresh your page if you can't see any equations. . the vertex is at  and the focus is at

Q: 17. What is the center of the hyperbola whose equation is [(x+3)2 / 9] - [(y-3)2 / 16] = 1?

A: The given equation of the hyperbola is of the type [(x-h)²/a²]-[(y-k)²/b²]=1.

Q: (y - 1)2 (x +3)2 =1? Which of the following is true about the hyperbola |- 4 9.

A: Follow the procedure given below.

Q: The equation of the hyperbola that has a center at (1, 5), a focus at ( – 4, 5), and a vertex at (4,…

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Q: Question 14 Which is an equation of a parabola which does not pass through the origin? Ay= © y = x²…

A: We have to find equation of parabola which do not pass through origin

Q: 1. Give the coordinates of the center, foci, vertices, and the asymptotes of the hyperbola with the…

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Q: Question 18 Which of the following equations represents a hyperbola? 3a? + 2y? – 2x = 0 3x? – 2y +…

A: The given equations comparing with ax2+2hxy+by2+2gx+2fy+c=0.

Q: Refer to the picture. * 1. Sketch the graph of the following hyperbola. y (x-2)* = 1 9 а. 16 (x+3)?…

A: Solution of the given problem

Q: Find the focus and directrix of a parabola whose equation is of the form Ax² + Ey = 0, A + 0, E # 0.

A: Explanation: Given that,  Parabola equation is; Ax2+Ey=0, A≠0, E≠0   Write the equation in the…

Q: 22. The equation x2 + BX + y + Cy + D = 0 is: A. Hyperbola B. Parabola C. Ellipse

A: The standard form of equation of a conic section is Ax2+Bxy+Cy2+Dx+Ey+F=0 where A, B, C, D, E, F are…

Q: Question 7 Which is an equation of the axis of symmetry of the parabola whose equation is y = 3x² –…

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Q: Question 19 Find the focus of the parabola 4x +24=8y-y?. A (-1,– 2) B (-3, 4) (-음4) D (-6, - 2)

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Q: Find the standard form of the equation of the parabola with the given characteristic(s) and vertex…

A: Given :

Q: Find the standard form of the equation of the hyperbola satisfying the given conditions. Foci at (0,…

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Q: Find an equation for the hyperbola that has its center at the origin and satisfies the given…

A: Given: Vertices V±3, 0 , asymptotes y = ±2x To find: The equation of hyperbola that has center at…

Q: Find the equation of a hyperbola with center at (3, -1) if the transverse axis is horizontal, the…

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Q: Show that the graph of an equation of the formAx2 + Cy2 + F = 0 A ≠ 0, C ≠ 0, F ≠ 0where A and C are…

A: Consider the given equation Ax2+Cy2+F=0, A≠0, C≠0, F≠0 A and C are opposite in sign. So,…

Q: How far from the x axis is the focus of the hyperbola (x^2)- (2y^2) + 4x + 4y+ 4 = 0?

A: the given equation of hyperbola is  x2- 2y2+4x+ 4y + 4 =0 it is asked to find how far is focus of…

Q: 8) Find the equation of the hyperbola described. a. Center at (0,0); Focus at (3, 0); Vertex at…

A: a) Given data: The center of the hyperbola is (h, k)=(0,0). The focus of the hyperbola is (ae,0)=(3,…

Q: Find the standard form of the equation of the hyperbola satisfying the given conditions. Foci at (0,…

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Q: Find the length of the hyperbola. (y-2)2/ 9 - (x+1)2/4 =1

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Q: The hyperbola with vertices at (0, 3) and (o, - 3) and foci at (0, 5) and (0, - 5) has the equation…

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Q: The equation of the hyperbola that has a center at (6, 10), a focus at (11, 10), and a vertex at (2,…

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Q: Find an equation of a hyperbola satisfying the given conditions. Vertices at ​(1​,−7​) and ​(1​,1​);…

A: Given that the Vertices at ​(1​,−7​) and ​(1​,1​). So the center will be at the midpoint Center=…

Q: The equation of the hyperbola that has a center at (4, 6), a focus at (9, 6), and a vertex at (0,…

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Q: The equation 2x² + 3y² – 5x +3y = 9 defines a c) Parabola d) Hyperbola a) Circle b) Ellipse

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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: 22. Which of the following is the equation for a parabola with a vertex of (3, 1) and a focus of (3,…

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Q: İThe hyperbola with vertices at (0, 3) and (0, - 3) and foci at (0, 5) and (0, - 5) has the equation…

A: The objective of the question is determine the equation of the hyperbola and choose the correct…

Q: Question 8 What are the x-coordinates of the vertices for the hyperbola represented by the following…

A: Given: The equation of hyperbola  x2121-y249=1 To find the x-coordinate vertices of the given…

Q: ind the equation of the hyperbola described. a. Center at (0, 0); Focus at (3, 0); Vertex at (1, 0)…

A: Given: center=0,0 focus=3,0vertex=1,0

Q: The equation of the hyperbola whose foci are (V5, 1) and (-V5, 1) and one asymptote y –1= 2x is…

A: Given: Foci=(5,1),(-5,1) Asymptote=y-1=2x

Q: The equation of a hyperbola given below when reduced to standard form is 16y2 -9x2 +36x + 96y - 36 =…

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Q: Find the equation of the hyperbola that has its center at the origin and satisfies the given…

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Q: What is the equation in standard form of a hyperbola with center C(- 1, – 3), a focus at and a…

A: In this case transverse axis is y axis.

Q: The equation of the hyperbola that has a center at (8, 7), a focus at (3, 7), and a vertex at (11,…

A: Given, center (8,7) focus=(3,7) vertex=(11,7)

Q: Solve for the equation of the parabola described. 1. Vertex at (0,0); focus at (0,3) 2. Focus at…

A: As per guidelines, we are supposed to solve only first question. Please repost other questions…

Q: 5 - 5 = 1 49 = 1 15 49 D- =1 64 49 = 1 14 16

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Q: Find an equation for the hyperbola that has its center at the origin and satisfies the given…

A: A function is usually represented as f(x) where x is the input to the function and f(x) represents…

Q: Find the standard form of the equation of the specified hyperbola. 15. 10 10x -1아 (x+2)* _ (v-4}*…

A: Vertices are (-1, 2) &(-7, 2) and center (-4, 2)

Q: Find an equation for the hyperbola that has its center at the origin and satisfies the given…

A: Recall that the equation of hyperbola with horizontal transverse axis is given by x-h2a2-y-k2b2=1…

Q: Find the equation of the Hyperbola whose Foci are at (2,1) and ( 10,1),and the length of its…

A: Given: Foci ≡ 2,1 and 10,1, Length of the Transverse axis = 4

Q: Find the standard form of the equation of the parabola satisfying the given conditions: Focus : (2,…

A: Consider trhe focus of the parabola is 2,4 and the directrix is x=-4. Let x,y be any point on the…

Q: The equation of the hyperbola whose foci are (-2,0) and (2,0) and length of transverse axis is 2 is…

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Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related. 

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.