Figure for 36

Q: 4. Triangle JKL with vertices J(-3,-2), K(-3, -12), and L(-8, -12); scale factor: k- 1/5, center of…

A: Answer

Q: (a) Graph f(x) = 2x and g(x) = 12 on the same Cartesian plane.(b) Shade the region bounded by the…

A: fx=2x  &  gx=12 a). The graph is,

Q: A right triangle is in the first quadrant with a vertex at the origin and the other two vertices on…

A:

Q: 2. A six-sided box with a square base of side length r and unknown height h (the top and bottom are…

A: Given  Total surface Area of box = 200 cm2  To find  Dimensions of box where volume maximize  Method…

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A: since f'→-+0, f has a local minimum x = 6

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A: consider (x,y,z) be an arbitrary point on ellipse then distance from orgin…

Q: The figures show a rectangle, a circle, and a semicircle inscribed in a triangle bounded by the…

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Q: Maximum printable area A rectangular page in a text (withwidth x and length y) has an area of 98…

A: A rectangular page in a text (with width x and length y) has an area of 98 in2. That is,…

Q: a.) Graph the parallelogram with vertices at (0,0,0), (1,1,0), (1,2,1), and (0,1,1) Then calculate…

A: a.) Graph the parallelogram with vertices at (0,0,0), (1,1,0), (1,2,1), and (0,1,1)Then calculate…

Q: Seven points are marked on a circle how many quadrilaterals can be formed using any of 4 of the 7…

A: Explanation of the answer is as follows

Q: Creating the Midpoint Sum Suppose that an object moving along a straight line path has its velocity…

A: Given              v(t)=29t-32+2

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A: In this question, we need to check whether the tree will get hit by Ferris wheel or not.

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A: Solved below

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Q: Question An open-top box is to be made from a 30-inch by 42-inch piece of plastic by removing a…

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Q: a. An isosceles triangle (two sides of the triangle have same length) has its vertex at the origin.…

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A: I am attaching image so that you understand each and every step.

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Q: Maximum Area A rectangle is bounded by the x-axis and the semicircle y = √25 − x2 (see figure). What…

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A: Given image,  XY=z∠X=θ now, ∠XYY1=90-θ YY1=zsinθ from this length we can calculate all distance.…

Q: The shaded region between the graphs of y = - 2x + 20 and y = 3x – 15 is displayed below in orange.…

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Q: Right triangle ABC is on a coordinate plane. Segment AB is on the line y = 2 and is 5 units long.…

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Q: 5 Designing a tent A canvas camping tent is to be constructed in the shape of a pyramid with a…

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Q: An isosceles triangle has its vertex at the origin and its base parallel to the x-axis with the…

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Q: The shaded region between the graphs of y = -2x2 + 20 and y = 3x – 15 is displayed below in orange.…

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Q: 25. What type of edge on a 2-D figure will form a flat surface when it is rotated to form a 3-D…

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Q: Optimizartion 5) Find the avea of the largest rectangle an be inscribed in a right triangle with lee…

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Q: . A rectangle with base on the r axis has its upper vertices on the curve y = (a) Find the maximum…

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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.