Which of the following equations describes all points that are 6 unlts away from th point (-2, 4)? A (x + 2)2 + (y - 4)2 = 6 %3D B (x- 2)2 + (y + 4)2 = 62 %3D C (x + 2)2 + (y- 4)2 62 %3D

Q: What is an equation of the line that passes through the points (1,2) and (2,−1)? Put your answer in…

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Q: 7x + 3y + 4z = 5, and 21x + 9y +12z = 13. %3D Neither

A: Given:7x+3y+4z=521x+9y+12z=13

Q: Hw/ If 2x, - X2 + 3 X3=2 メi+3X2- メ3=11 2 Xー2×2+ 5X3=3 %3D Then Find The values X, X2

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Q: (4D4 - 4D3 - 3D2 - 2D + 1)y = 0

A: We have to solve the given equation.

Q: For the line that has the equation X1 + 2X2 = 10, will pass through: %3D O (5,4) (10,1) O (2,4) O…

A: Given that  The equation of a line is x1+2x2=10 To find a point that will pass through the given…

Q: 8. (S.15). Write P20 r2+2r-1 as a linear combination of the polynomials P21 r-r- 2, P22 2r2-r+3, P23…

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Q: Find the equation of the line parallel to 8x +4y = 1 passing through the point (0, 1). %3D

A: Given equation is 8x+4y=1 We have to find the equation of line parallel to 8x+4y=1 passing through…

Q: 2(a + 3x) = y - 4x for y

A: Given query is to solve for y.

Q: Find the value of ( x + y ) / (x - y ) if x = 6 and y = - 2.

A: The expression: x+yx-y

Q: y = /5 + x², y = 0, x= 0, x = 2

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Q: 4t 3. -2

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Q: S(x*-3x3 +- -2)dx = x(8x*-30x3+5x-80) + C 1 %3D 40

A: Consider the right hand side of the given equation. The integration formula is  ∫xn=xn+1n+1+c

Q: Solve (D3-3D2+3D-1)y=x2.ex

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Q: 2x +4y-2= X -y +2 =-6 3x +2y-Z= 5

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Q: Solve (D3-3D2+3D-1)y=x2.ex

A: The answer is given below:

Q: End bahavior of y=(x²-5)(x-1)²(x+2)³

A: Given function is y=x2−5x−12x+23. We have to find the end behavior  limx→∞y and limx→−∞y. Use…

Q: Find the values of x and y for which (x + y, 0) = (3,1 - y)

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Q: Solve (D3-3D2+3D-1)y=x2.ex

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Q: max-2x1-x²-x3 s.t 1 + 2x2 + x3 = 1 4x1+3x2+2x3 1, 2, 3 > 0 = 2

A: We have to find the maximum value of fx1, x2, x3=-2x12-x22-x32.Subject tox1+2x2+x3=14x1+4x2+2x3=2x1,…

Q: (q/q-3) + 1 = (2/2q+1)

A: To solve for q, firstly, we take l.c.m on left hand side of equation.

Q: Мaximize z = 3x1 + 5x2 subject to: 4x] + х, < 25 2х, + 3x, < 15 with х, 2 0, х, 2 0.

A: To Maximise  z= 3x1+5x2subjected to : 4x1+x2 ≤25                         2x1+3x2≤15 with…

Q: Dª + 4D³ – 3D² − 2D + 1)y = 0

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Q: c. (D2 - 25)2 (D2-4D+ 13}3 y = 0 %3D

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: (5, 2)

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Q: 3y +5 (5y-7)2 dy

A: We can find the integration as below.

Q: [2x + 4y – 5z = -8 x + 5y + 2z = -1 (3х + Зу + 3z %3D 15 17)

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Q: Solve for x and be sure to show Left side = Right side and Legal Moves. 7) Show all work. (Hint: Use…

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Q: Which equation passes through the points (3,4) and (6,9)?     y−9=5 over 3(x−6)   y+9=3 over 5(x+6)…

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Q: 7x = 10x-9 hit the x-axis? :) How many times does

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Q: -x + y -z = −17 2xy + z = 3x + 2y + z = (x, y, z) =

A: -x+y-z=-17......(1)2x-y+z=24......(2)3x+2y+z=16......(3)

Q: 3(y+7)-7y=1 y=

A: First we distribute 3.

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.