4. True or False. The standard form of the equation of the circle can be written to general form by completing the square. 5. True or False. The graph of the equation of the form x + y2 +Bx + Cy + D = 0 is a point if the equation when converted to standard form gives a zero radius. 6. True or False. Every circle can be represented in the general form x + y + Bx + Cy + D = 0 but the graphs of equations of the form x* + y? + Bx + Cy + D-0 is not always a circle.

Q: 11 Write the equation of the parabola that has "a" value 3 and y-intercept 6. 0/1

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Q: .what does the axis of symmetry do to the parabola?

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Q: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

A:

Q: If the x term or the (x-h) term in the equation is squared, the parabola opens up or down. O True O…

A: TRUE Proceed as explained below...

Q: 7. Find the center and radius of the circle described by the equation 2x² +2y² +2x-6y+-=0.

A: 2x2+2y2+2x-6y+92=0Find the center and radius of the circle

Q: What is the axis of symmetry of the parabola y= 1/4(x-1)^2 -3 1.(1,3) 2.(-1,-3) 3.(1/4,-3)…

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Q: What is an equation of a circle whose center is (1,4) and diameter is 10?   Question options:   x2…

A: What is an equation of a circle whose center is (1,4) and diameter is 10?

Q: у-ахis 7 6+ 5- 4- 3. 2 x-axis -3 -2 -1 1 2 3 4 5 6 7 What is the equation in general form of the…

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Q: Which equation represents a circle with center (12, 9) and diameter of 12 units? 1.(x-12)^2 +…

A: Given data is : The Center of the circle is 12,9 Diameter of the circle is 12 unitsRadius…

Q: 13. Write the standard equation of the graphed circle. 2 O 2 4. 4,

A: Given- The given graph of the circle is- We have to write the standard equation of the graphed…

Q: 18. Identify the surface that corresponds to the equation 100y^2 - 25x^2- 4z^2 = 1. show solution

A: It represents hyperboloid.

Q: Recall that an equation of a circle can be written in standard form (x-h)² + (y-k)² = r, where (h,…

A:

Q: 13. Write the equation of the parabola with x- intercepts at ( 3,0) and (9,0) that passes through…

A:

Q: 12. Use vertex form to write the equation of the parabola. y= 3(x+2)° +2 y= 3(x- 2)° +2 y= 3(x- 2)°…

A: best and easiest way is one by one checking if the given option satisfy the given points (-2, 2) and…

Q: 1.  Write an equation in standard form of the circle with the given properties. Center at ( 5/8,…

A: Given, Circle with following properties  1. Center 58, -4 and  r = 7 2. Center -10, 0 and  r = 33…

Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y=9−x2…

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Q: 4. What is the axis of symmetry of the parabola y = x = 7 x= -14 y = 28 Ox=28 O x²14x+28?

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Q: # 3) Create the equation of the cubic, in standard form, that has x-intercepts of 3, -1, and 2…

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Q: Write the equation in standard form of the circle whose diameter has endpoints of (-2, 4) and (8,…

A: Given,            The circle whose diameter has endpoints of -2,4 and 8,-6.To find : Write the…

Q: 8. Write the equation of a circle whose center is (-2, 3) and radius is 4. 9. Find the radius of a…

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Q: Your dog is hyper and needs to go for a walk around the block. If your block is rectangular and the…

A: Solution ) walk around the rectangular block = perimeter of rectangle perimeter of rectangle = 2 ( a…

Q: 5. Find the equation of the parabola that has a horizontal axis of symmetry, passing through the…

A: the general equation of a parabola is x=ay2+by+c                            (1) horizontal axis…

Q: What is the vertex of the parabola represented by y = -2(x – 6)² + 5? O (5, 6) O (-6, 5) (6, 5) O…

A:

Q: 2. Does the equation x² + y² + z²-3x - y + 3z = 0 represent a sphere? If so, find the center and the…

A:

Q: if the point (a, b) is on the parabola y=6x^2-(5785/12) that is closest to the point (0,4) than a ?

A: Given, y=6x2-578512 suppose x,y any point closest to 0,4  D=x-02+y-42 put y in equation,…

Q: If the points in the table lie on a​ parabola, write the equation whose graph is the parabola.   x…

A: Given, The points in the table lies on the parabola: x y 1 1 3 -7 5 -67 Let, The…

Q: 2. The murderer's height, in inches, is equal to the y-intercept of a parabola with roots of -2 and…

A: The roots of the parabola are -2 and -32. The murderer's height is equal to the y-intercept of a…

Q: 6) Use the process of completing the square to transform the General Form equation below into…

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Q: Which is the domain and range of the parabola with the equation y = 0.5(x² - 8x - 6)? OD: (-∞0,00);…

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Q: 2 What are the intersection points of the parabola given by the equation y = x“ – 9 and the line…

A: We are answering only the first question as per our honor code. Given, The equation of a parabola…

Q: 23 What are the coordinates of the center of a circle whose equation is ** +y - 16x + 6y+ 53 = 02 1)…

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Q: A circle is graphed in the xy-plane. If the circle has a radius of 3 and the center of the circle is…

A:

Q: 3. Reduce 9x² +9y2 - 12x - 24y - 5 = 0 to the standard form of the equation of a circle.

A:

Q: What are the intersection points of the parabola given by the equation y = x2 – 9 and the line given…

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Q: The parabola y=x^2y=x2y, equals, x, squared is shifted up by 777 units and to the left by 111 unit.…

A:

Q: What is the standard equation of the circle whose center is (-5,-4) and whose radius is 3?

A: Given : Center = (-5, -4 ) Radius = 3

Q: The value of the "x" coordinate of each point of intersection between the parabola of the equation…

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Q: 7. Write an equation for each parabola a) 0, 11) 8- 4- (4, –5) b) | YA |(-6, 4) 4- (-5.3) 2 -6 -2 0…

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Q: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

A:

Q: 3. Find the dimensions and area of the largest rectangle having its two lower corners on the x- axis…

A: The given problem is solved below in detail.

Q: Show that,the area bounded by the parabola y^2 =4ax and a double ordinate is two third of the…

A: Let the parabola be y2=4ax Also let x =b be any double ordinate.Since the curve is symmetric about…

Q: 16) Write an equation of a circle whose center is at (0,-7) and whose radius is 4.

A: answer is x2+y2+14y+33 = 0explanation is given in below step

Q: If we have a parabola with an axis of symmetry of x = 9 and it contains the point (-3, -12), what…

A: Given taht parabola is symmetric about the line x= 9

Q: 5. Complete the square and write into graphing form: a. y= x² – 2x +2 b. y = 2x – 4x - -

A:

Q: 6. After a reflection in the x-axis, the parabola y =x -4 would have the equation (1) y=x²+4 (3)…

A: Reflection in x axis

Q: D) If (x-3)2+ (y+ 5)2 = 9 is the equation of a circle, the coordinates of the center and the length…

A: Center (h,k) and radius r have equation of circle  (x-h)^2 + (y-k)^2 = r^2 Here h= 3, k = -5 and r =…

Q: Find an equation of the sphere whose diameter is the line segment having endpoints at (6,2, –5)

A: To find the equation of sphere.