The triangle ABC in a room as in the following sketch, which has the equation 6x + 8y + 3z = 15. Find the coordinates of the points A, B and C, if F is the origin point in three- dimensional coordinate system.

Q: Find the equation of the parabolic arch formed in the foundation of the bridge shown. (Write the…

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Q: 1. Put the following equations in standard form and find the center point and the radius: a) x-2x+y…

A: Given that

Q: What sort geometric item does the equation ² + y? – 4x + 2y + 5 = 0 describe?

A: Given: x2+y2-4x+2y+5=0 For finding geometry of given equation, first we convert it in standard form…

Q: Find the center, vertices, foci, and sketch from x -4y2 +6x +16y -11 = 0.

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Q: form the cartesian parenmetnc equations. x- 3 tom g equation fon. there .2fec o

A: given parametric equations x=3tanθ, y=2secθ⇒tanθ=x3, secθ=y2

Q: Find the coordinates of the points marked in the following Cartesian plane.? 6 Y 5TH A 4 2 .B. E x 4…

A: It is given that ,               We have to find the coordinates of marked point.

Q: (b) Find the equation of the sphere in R³ that has the diameter from A(1, 2, -1) to B(5,-2,0).

A: Part (b):- Given co-ordinates of diameter are  A1, 2, -1   to   B5, -2,  0.

Q: Write the equation (in standard form) of the parabolic arch formed in the foundation of the bridge…

A: here we have to find  the equation (in standard form) of the parabolic arch formed in the foundation…

Q: Find the area of the triangle which the line 2x – 3y + 6 = 0 forms with the coordinates axes. a.3…

A: First we find out x intercept and y intercept of given line and solve it.

Q: 3. The triangle ABC in a room as in the following sketch, which has the equation 6x + 8y + 3z = 15.…

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Q: y A A -4 -2 4 В 6 x -2 C 42. Show that the triangle with vertices A(6, -7), B(11, -3), and C(2, -2)…

A: Given vertices of △ABC: A=6, -7B=11, -3C=2, -2

Q: the center-radius of 9x?ー16x+9+9y?t12u=12 the equation Can be obtained by adding both sides of the…

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Q: Rewrite the equation 4x2 + 3y2 – 16x – 12y + 16 = 0 to standard form and identify the coordinates of…

A: The given equation is 4x2+3y2-16x-12y+16=0. We need to first rewrite it to standard form. The have…

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Q: nd an equation of a sphere if one of its diameters has endpoints (54.

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Q: Q.1/ a- Find the radius and center of the equation 9x2 + 9y² - 6x - 107 = 36y %3D

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Q: x' +y - 8x + 6y + 21 = 0 Use the process of completing the square to rewrite the equation above as…

A: on  solving this we get

Q: 3. Find five solutions to the equation x – 3 =;y and plot the solutions as points on a coordinate…

A: We will give 5 solutions to the given equation in a table. Here, x-3 = y/2 => y = 2x - 6. So,…

Q: . 2x2 +2y? + 2z2 = 8x- 24z +1

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Q: The diameter of a circular fountain in a city park is 28 feet. A sidewalk that is 3.5 feet will be…

A: A = approximately 17.5 a stranger need to travel  from the sidewalk to reach the middle .

Q: 1. Give the coordinates of the center, foci, vertices, and th equation. x2 a. y2 =1 11 - 25 x2 b. 9…

A: Given: (a)   x225-y211=1 (b)   x29-y27=-1 (c)   9x2-4y2=36

Q: Which of the following correctly depicts the sphere given by the equation: x2 + (y - 2)2 + (z - 2)2…

A: Given: x2 + (y - 2)2 + (z - 2)2 = 4

Q: Complete the square to find the center and radius: x^2+y^^2+8x+8y=0

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Q: Which equation would shift the parabola down 3 units? A y=z² B y=z² +3 C_y=(z-3)² Dy=(z+3)²³ E =…

A: which equation would shift the parabola down to 3 units.

Q: Find the coordinates of the points marked in the following Cartesian plane.? 5TH A 4 B 1 E X -6 -54…

A: From the graph, note that the x coordinate of point A is -1 and y coordinate of point A is 3. Thus,…

Q: Find the equation of the parabolic arch formed in the foundation of the bridge shown. (Write the…

A: From the given figure

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A: x2 = 4ycoordinates of focus = ?

Q: circle

A: The general equation of a circle is- (x - h)2 + (y - k)2 = r2  Where, (h, k) is the center and r is…

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Q: 5. Put the following equation into standard form, classify it as a circle, ellipse, hyperbola, or…

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Q: the answer sheet provided. 1. Determine the foci, vertex, and directrix of the parabola with the…

A: As per bartleby guidelines we only give first question answers.

Q: Q3) The triangle ABC in a room as in the following sketch, which has the equation 6x + 8y + 3z =…

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Q: Arrange the parabolas represented by the equations according to the positions of their foci on the…

A: The standard form of a parabola is  (x – h)2 = a(y – k) where (h, k) is the vertex.

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Q: QUESTION1 What is the axis of symmetry for the following equation? y=4x2-8x+9 OA X=-1 А. X-2 OB.…

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Q: 1. What are the center and radivs of the circle with an equatlon x2 +y? + 8x- 4y-5 = 0 2. What are…

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Q: ow that, the equation 3x -y + 5x – 2 = 0 repr ngent at the vertex, directrix, latus rectum, len…

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Q: On the lacrosse field, the circular region around the net, called the crease, is an area that only…

A: Concept : equation of circle with center xo,yo and radius r is (x-xo)2+(y-yo)2 =r2 the crease can be…

Q: enter the correct answer to complete the following sentence the cirlce with the equation X2+Y2=324…

A: This is the form of a circle. Use this form to determine the center and radius of the circle.…

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A: Given equation of ellipse:x+224+y-1216=1 To find out: lenght of minor axis.

Q: Find the centre and radius of the sphere determined by the equation x' +y° +(z - 2) = 16 %3D

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Q: Find an equation of the paranola in standard form: with the vertex at V (2,-4) and directrix y= -5

A: Find an equation of the parabola in standard form: with the vertex at V (2,-4) and directrix y= -5

Q: What is the most specific name for the figure? C. A(-4a, -2b) B(-8a, -2b) C(-4a, b) D(0, b) A…

A: From the given, AB = -8a+4a2+-2b+2b2 =4a2+0 =4aBC = -4a+8a2+b+2b2 = 4a2+3b2 CD =0-4a2+b-b2 = =4a2+0…

Q: 50 ft 100 ft,

A: Consider the parabolic arch formed in the foundation of the bridge

Q: Show that the equation represents a cirde by rewriting it in standard form, AND find the center and…

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Q: How firel the center, foci, vertices and eccentricity for the following equations! x+4y²-4x-8y +4=0…

A: Concept: Ellipse: The equation of the ellipse with center at (h,k)  (x-h)2a2+ (y-k)2b2 =1 Hyperbola:…

Q: The filament of a lightbulb is a thin wire that glows when electricity passes through it.  The…

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