(x – h)² (y – k)? Given = 1 where a > b> 0, the ordered pairs representing the endpoints of the vertices are The ordered pairs representing the endpoints of the minor axis are and and

Q: 9ay? = (x-2a)(x-5a)". b. Find the perimeter of the loop of the curve

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Q: iven the equation of the curve 9x2+25y2-144x +200y + 751=0. Find the distance between the foci.…

A: Given: 9x2+25y2-144x +200y + 751=0

Q: In the graph on the right, Square WXYZ has been dilated to obtain Square W'X'Y'Z. 10t 5 a) Find the…

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Q: * the lines 2x 3y 1 0 and 3x y 4 0 ie along diameters of a circle of circumference 10 n, then the…

A: The equation of a circle centered at h,k is x-h2+(y-k)2=r2 , where, r is the radius. If the radius…

Q: Which of the following surfaces is the graph of 6x + 3y + 4z = 12 in the first octant? 1. 2.

A: Given:- Equation of plane. 6x+3y+4z=12   To find:- Graph of given plane in first octant

Q: I. Sketch and identify the graph of the following equations in R³ : 1. 9a2 + 4y2 = 36 %3D

A: The standard form of the ellipse is x2a2+y2b2=1. The given equation is 9x2+4y2=36.

Q: 9) Given * = 14y + 168y+506. a) Find the vertex form of the equation. b) Find the direction of…

A: Vertex form of parabola  x = a(y-k)2 + h. Standard form of circle (x-h)2+(y-k)2 = r2

Q: Find b and c so that y 6x? + bx + c has vertex (2, – 3). b c = ||

A: Compare with standard equation of parabola then solve

Q: 5. Determine the value(s) of k such that the circle x² + (y – 6)² = 36 and the parabola r? = 4ky…

A: we have to find the value of k. the solution is following.

Q: 3. the lines r = y² – 2 and r = y and whose lies between z = x + 2 and %3D =y-2 whith the graph

A: Given equations are: x=y2-2 and x=y lying between z=x+2 and z=y-2. Since the given equations are in…

Q: The solid graph has been compressed horizontally by the factor of relative to the dotted graph of y…

A: The graph is compressed by the factor of 12 therefore New Value of X=12x 2X=x

Q: 5 which of the followinginan equation of the tengentto the graphefy=x at y=3? x2 A) ye 33X-63 6)yこ…

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Q: What are the coordinates of the vertices of AA'B'C' after a reflection across a line through point P…

A:

Q: 12. A circle in the xy-plane has equation (x + 3)² + (y - 1) = 25. Which of the following points…

A: According to the problem, we have

Q: I. Find the polnt of intersection of the following lines and graph them. 2r+3y=6 and x-y=3

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Q: The coordinates of the vertex are......................... .

A: Given,

Q: * the lines 2x . 3y 1=0 and 3x - y -4 = 0 ke along diameters of a circle of circumference 10 , then…

A: The equation of a circle centered at h,k is defined by the equation, x-h2+y-k2=r2, where r is the…

Q: Use the algebraic tests to check for symmetry with respect to both axes and the origin.y = x/(x2 +…

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Q: (a) y" + 7y + 12y = 0, y(0) = -1, y(0) = 0 %3D %3D

A: We have to find general solution and it's sketch.

Q: Identify and sketch the graph of the following equations in R. (a) r2+2y? + z2 – 8r + 12y - 2z + 35…

A: The given equation for part (a) is x2+2y2+z2-8x+12y-2z+35=0. The given equation for part (b) is…

Q: Find the point where the common point of the circles x2+y2=25 and x2 +y2-12x-6y+35=0 intersects…

A: This is coordinate geometry problem

Q: Find any intercepts and test for symmetry with respect to both axes and the origin. (If an answer…

A: Given equation:x=y2-7For x-interceptors, y=0so, x=-7For y-interceptors, x=0y2-7=0y2=7∴y=±7

Q: The diagram shows parts of the graphs of 2y -r = 5 and 3x+ 8y = 54. A rectangle PQRS is inscribed…

A: The objective is to find the coordinate of P, and Q in terms of h. Given that the point S lies on…

Q: What are the coordinates of the vertices of AA'B'C' after a reflection across a line through point P…

A: A(2,7) ; B(6,7), C(4,5)Equation of line passing through point P(10,8) and R (0,-2)using two point…

Q: Q2) Let the equation of the circle is given as x² + y² + 2x – 4y – 11 = 0. Find the dis between the…

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Q: Determine the value(s) of k such that the circle x²+(y-6)²=36 and the parabola x²=4ky will intersect…

A: Consider the provided equations, x2+y-62=36  ....... (1) x2=4ky ...... (2) Determine the value(s) of…

Q: The equation of the circle that is concentric with the circle x2 +2x+y² – 8y+ 14=0, and touches the…

A:

Q: Given the points P1(-2, 1, 3) and P2(2,-1, 3), determine the coordinates of point P3 on the y-axis…

A: Any point on x-axis in 3D  is (x,0,0) Any point on y-axis in 3D  is (0,y,0) Any point on z-axis in…

Q: Find the points on the graph of 3x? + 10xy + 3y2 = 9 closest to the origin. %3D

A: See the details solution in below

Q: Find any intercepts and test for symmetry with respect to both axes and the origin. (If an answer…

A: Let's find.

Q: 20. For what value of b are the graphs of the pair of equations perpendicular? 3x+7y 7,y=* %3D

A:

Q: ind an equation of the line of intersection of the following two plane x + y + z = 0 nd 2я — у + 32…

A: We have to find out

Q: Suppose the graphs of y = 5x² + 3x + 4 and y = x° + bæ? – 78x – 158 intersect at a = 3 – 9. Find all…

A: This question is based on finding roots of cubic equation.

Q: Suppose the graphs of y = 5x? – 4x + 9 and y = x – 4x² – 2x + d intersect at a = 8. Find all…

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Q: 2. Use DESMOS to graph the following lines. Sketch your results on the grid below. -8- -7 -6- .4 -3…

A: Given equations are of the form  Y=mX+c m is the slope of the line,and c is the y axis interception.…

Q: Draw the graphs of the equations x – y+1=0 and 3x+2y – 12=0. Determine the coordinates of the…

A: Sketch the given equations:

Q: 2 Find k such that the lines 4y+7 kx-11=0 and y==x+4 are perpendicular.

A: The two equations are:4y+7kx-11=0y=23x+4

Q: Suppose the graphs of y 3x? – 3x + 9 and y = x + bæ? + 26x – 9 intersect at a = 2. %3D Find all…

A: To find all intersection points Given graphs are intersect at x=2

Q: What is the x-intercept of the graph of 5.5ax + 1.2by = 59.4 in the xy-plane, where a and h are…

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Q: Suppose the graphs of y = 4x? 9x – 1 and y = x³ + bæ² + 17x + 111 intersect at x 2. %3D Find all…

A: Solution: The objective is to find the intersection points

Q: ()- For and a point P e R°, we have = -1. . Determine the value of (").

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Q: Identify the vertices, length of the major axis, and length of the minor axis of each. Then sketch…

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Q: Test for symmetry with respect to each axis and to the origin. xy = −2

A: xy=-2 Replace x, y by x, -y, we get x-y=-2⇒xy=2 Which is not same as original equation. Therefore…

Q: Suppose the graphs of y = 5x? + 3x + 4 and y = x³ + bæ? – 78x – 158 intersect at x = – 9. Find all…

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Q: Graph the image of square TUVW after a reflection across the y-axis. 10 6- 4. W V -10 -4 0. 4. 10 -4…

A: Draw a schematic diagram of given figure. .

Q: Find the coefficients a, b, c, and d so that the curve 20 shown in the accompanying figure is the…

A: Given y = ax3+bx2+cx+d                           (1) The point (0,10) satisfies the equation (1) ,…

Q: O D 14. Using the equation 9 (z – 2)? (y – 1)? =1 find the vertices. Select all that apply. 4 (21…

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Q: The figure at right shows a parallelogram PQRS, which has vertices P (0,0), Q = (a, b), and S = (c,…

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