Question 27 Determine the Center of the Ellipse (X-4)2 + (Y+3)2 - 1 49 64 A....

Question

Question

math algebra

Answer 1

Answer #1

Option B (4,-3) is correct.

For the ellipse with the equation,

$\frac{(x-p)^2}{a^2}+\frac{(y-q)^2}{b^2}=1$ , the center is always located at the coordinate (p,q).

So looking at hte equation $\frac{(x-4)^2}{49}+\frac{(y+3)^2}{64}=1$ , we can say that the centre is at (4,-3).

Answer 2

Similar Homework Help Questions

Given the ellipse, [(x + 5)2 ÷ 25)] + [(y - 3)2 ÷ 49] = 1,...

Given the ellipse, [(x + 5)2 ÷ 25)] + [(y - 3)2 ÷ 49] = 1, determine the location of the centre, vertices, and foci, and then sketch the graph based on those attributes.
Determine the vector-function for an ellipse whose center is (2, −3), has an x-radius of 2, a y-radius of 4, starts at the point (2, −7), and travels in the counter-clockwise direction. What is the re...

Determine the vector-function for an ellipse whose center is (2, −3), has an x-radius of 2, a y-radius of 4, starts at the point (2, −7), and travels in the counter-clockwise direction. What is the rectangular equation for this ellipse? Sketch the ellipse
III CONIC SECTIONS Finding the center, vertices, and foci of an ellipse V Find the center,...

III CONIC SECTIONS Finding the center, vertices, and foci of an ellipse V Find the center, vertices, and foci of the ellipse. Simplify your answers as much as possible. (x-3)2 (y-5) + = 1 64 100 Center: CD Foci: CD) and (CD vertices: (1) and (D.

Given the equation of the ellipse a. The Center b. The Foci c. Width of major...

Given the equation of the ellipse a. The Center b. The Foci c. Width of major axis (1 – 4)2/25 + (y + 2)2/49
Question 4 (1 point) Consider the ellipse. x² + xy + y2 = 3 Determine the...

Question 4 (1 point) Consider the ellipse. x² + xy + y2 = 3 Determine the derivative using implicit differentiation. You must show your work in the textbox below. An answer without work shown will not receive full credit. NW -3 bu -3 -2 -1 0 1 2
QUESTION 2 Find an equation for the hyperbola described. Vertices (1, -3) and (- , -3)...

QUESTION 2 Find an equation for the hyperbola described. Vertices (1, -3) and (- , -3) and (- 2.-3); asymptotes y+3 = + (x+2) 4(x + 2)2 (v + 3)2 = 1 25 9 = 1 (x + 2)2 4(y + 3)2 9 25 4(x - 2)2 (y - 3)2 25 9 (v + 3)2 4(x + 2)2 9 (5532 = 1 = 1 25 QUESTION 4 Find the center, foci, and vertices of the ellipse. 25x2 + 49y2 =...

14. Find the center, vertices and foci of the ellipse. Sketch the ellipse. a. 9x24y2 = 36 b. Cx-2)2 Cy+3)2 + = 1 25...

14. Find the center, vertices and foci of the ellipse. Sketch the ellipse. a. 9x24y2 = 36 b. Cx-2)2 Cy+3)2 + = 1 25 16 C. 2x2y= 2 + 4x - 4y 14. Find the center, vertices and foci of the ellipse. Sketch the ellipse. a. 9x24y2 = 36 b. Cx-2)2 Cy+3)2 + = 1 25 16 C. 2x2y= 2 + 4x - 4y
show all work 2 Find the center and radius of the circle x +y = 49...

show all work 2 Find the center and radius of the circle x +y = 49 a. center: (-1, 1), radius: 11 b. center: (0, 0), radius: 11 C. center: (-7,-11), radius: 7 d. center: (0, 0), radius: 7 e. center: (-1, -1), radius: 7
= CONIC SECTIONS Finding the center, vertices, and foci of an ellipse Find the center, vertices,...

= CONIC SECTIONS Finding the center, vertices, and foci of an ellipse Find the center, vertices, and foci of the ellipse. Simplify your answers as much as possible. (x+1)2 (y+2)2 + =1 25 16 Center: (D o ao X $ ? Foci: (0-1) and (0 vertices: (1) and CD

Question 18 Identify the center, vertices, foci and graph the hyperbola (x-2)2 (y+3) 1. The graph...

Question 18 Identify the center, vertices, foci and graph the hyperbola (x-2)2 (y+3) 1. The graph must include the dashed boxed and 64 asymptote lines. 100