Let F1 = (-8,0) and F2 = (8,0), and P = (x,y). Assuming that a string 20 units long is anchored at F1 and F2 is used to draw an ellipse, derive the equation of the ellipse and write it in the form Ax^2 + By^2 = C.

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Q: 5. Which of the following pairs of lines represent the height of triangle ABC and its corresponding…

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A: Angle subtended by diameter at any point on the circle is 90 degrees

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A: Solution is here

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A: Given query is to find the total surface area of the prism.

Q: 29.) Evaluate the given piecewise graph for the given values. f(-1) = f(1) =¸ f(2)=

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Q: Exercises for Example 1 ***** In Exercises 1-4, find the indicated measure. 1. Find the…

A: we have to determine circumference of a circle

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A: According to guidelines. We must answer only one of the multiple questions given. So I answer…

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A: The area of a square rug is the same as the area of a rectangular rug that is 9 ft long and 4 ft…

Q: What other fact would you need in order to show that AABD ACBD using AAS?

A:

Q: me

A: We will solve the problem

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Q: 1. A triangular prism has the measurements shown. Find the lateral surface area of the prism. 10 ft…

A: Given problem:-

Q: A) In AABC, AB = 15, BC = 10 and AC=12. 1. Which angle is the largest? 2. Which angle is the…

A: A) Triangle ABC  AB = 15 , BC = 10 , AC = 12 which is largest angle and which is smalllest angle…

Q: What is the area of the kite? 15 ft 4 ft 4 ft 25 ft O 1,500 ft² O 640 ft²

A: A detailed solution is given below.

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Q: Construct a quadrilateral ABCD having AB = 3 cm, BC = 5 cm, CD = 6 cm, AD = 4 cm, BD = 6 cm and…

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Q: Directions: Using the figure 1 and 2, Match each trigonometric concept found in Column A with the…

A: A detailed solution is given below.

Q: What is the area of the circle? K 42 mi 40 mi Ⓒ 1936T Ⓒ3364T 841T 484T

A:

Q: In the figure below, ADEF-ATSR. 6 cm D F 789 9 cm 419 Enter the number in the box. SR= E S cm 41% R…

A: topic- similar triangles

Q: Which theorem can be used to prove that ARQM APMQ H R P M

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Q: 34.) Mr. Tapia wants to calculate how much it will cost to construct a concrete deck around his…

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Q: olve for x. Figures are not necessarily drawn to scale. M 18 Answer: 30 N 43° P 43° Q 27 X 22.5 0…

A: Given query is to find the value of x.

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Q: Write the equation of the ellipse 9x² + 16y² + 18x − 96y + 9 = 0 in standard form - (x - h)² (y-k)²…

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Q: What is the area of the isosceles triangle?

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Q: B E 25° C In the figure above, DĈO = 25° and O is the centre of the circle. ABCDE are points on the…

A: All asked questions are given.

Q: Given point A(-2,6) and B(3,4), find the coordinates of C that divides segment AB so that the ratio…

A: We have to find coordinate of C.

Q: solve the diff. equ. х²ў гуго

A: We can solve the given differential equations.

Q: 7. Determine whether the two graphs are equivalent. B D A F E D

A: In this question, we want to know whether the given graphs are equivalent or not.

Q: The answer is 3 over 5 ?

A:

Q: In the diagram below, QR is parallel to NO. Solve for z. Round your answer to the nearest tenth if…

A: To find the value of 'x' we have to use the property of similar triangles i.e. AAA property.

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A: Given the total capacity of empty swimming pool = 3000+400 ft3.                             = 3400…

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Q: Q2/ Use the mid-ordinate rule with eight intervals, to evaluate T f3sin²(x), correct to 3 decimal…

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Q: a) Find the value of x. (Show all work and solve a 23. Xº 78° 65° 106°

A: We have to find out angle x

Q: 7. CARPET You just carpeted a 9 foot by 12 foot room for $480. The carp is priced by the square…

A: Solution ;carpeted a 9×12 square feet room for $480carpeted a 1×1 square feet room for $…

Q: What is the area of the figure? The figure is not drawn to scale. 10 in.. 13 in. 11 in. 11 in. 13…

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

Q: Suppose we want to choose 6 colors, without replacement, from 8 distinct colors. (a) How many ways…

A: We have to find the possible number of ways in each case asked.

Q: Use the circle shown to answer the question. If the measure of Arc AC is 78 degrees and the measure…

A:

Q: 1. Let an x'y'-coordinate system be obtained by rotating an xy-coordinate system through an angle of…

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Q: DESMOS GRAPHING CALCULATOR Question 14 The surface area of a small toy ball is 18 square inches. If…

A: We have to find the surface area

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A: We have to simplify the expression 2xy33x3y2.

Q: Option 4 O Option 3 Which equation is correct in solving the measure of b? * B C a b a

A:

Q: Explain why the values of the trigonometric ratios only depend on the angle αα and not on the…

A: Concept: The trigonometric ratios only depend on the angle and not on the particular length since…

Q: Quadrilateral IJKL is similar to quadrilateral MNOP. Find the measure of side PM. Round your answer…

A: Here we use property of similar polygon.

Q: In the diagram below, MN is parallel to JK. If MN is 8 less than JL, ML = 12, and JK 15, find the…

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Q: A regular hexagonal pyramid has base edge 7 cm and height 10 cm. Find the volume of the pyramid.

A: We can find the volume as below.

Q: Seven line segments with lengths no greater than 15 cm and no shorter thatn 3 cm are given. Show…

A: By piegonhole principle,  There are 7 segments and there are 13 possible lengths. Hence, for one…

Q: 2.10. If one rectangular solid with dimensions of 6 x 6 x10 millimeters is stacked of an identical…

A: