17. Solve the equation using the Quadratic Formula: x2 - 7x = 30 %3D 18. Solve the equation using Factoring AND then the Quadratic Formula: x3- 27 = 0 %3D 19. Write the center-radius form of the circle. Then graph the circle: Center (3, 1), Rad 20. Determine if the equation is a circle. If so, write it in center-radius form. If not, desc graph of the equation as either Non-Existent or a Point. x2 + 8x + y2 + 4y + 16 = 0

Q: What is the axis of symmetry of the following quadratic equation? y = 2x +12x+10

A: Given,            y=2x2+12x+10To find : The axis of symmetry of the quadratic function.We know that,…

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A:

Q: Find a,b, and c, so that the graph of the quadratic equation y=ax^2 +bx +c passes through (-3,32),…

A:

Q: If using the method of completing the square to solve the quadratic equation x2 + 8x + 11 = 0, which…

A: x² + 8x + 11 = (x² + 2•x•4 + 4²) + (11 - 4²) = (x + 4)² + (- 5)

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

A:

Q: solve by completeing the sqaure  9y^2+30y-32=0

A: Given:

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A: Hope this is useful

Q: Given the equation  5x2 = 6x + 18 determine : Draw a neat sketch of the quadratic

A:

Q: The quadrilateral below is a rectangle If LO = 15x + 19, and QN = 10x + 2, solve for x. %3D L.

A:

Q: USING THE FORMULA x²/a² + y²/b² = 1 SOLVE THE FOLLOWING  Radiation is focused to an unhealthy area…

A: Here the reflector is positioned in such a way that the target area is at one focus while the source…

Q: Use the given diagram to set up an equation and solve for X. (4x+20Y 40° Equation:

A: Given: To set up: An equation and to solve for x.

Q: The quadrilateral below is a rectangle. If SQ = 11x - 26, and PR= 5x + 28, solve for x. %3D P T. S R

A:

Q: given the equation of parabola y^2 -8x -4y -20=0,find the length of latus rectum

A:

Q: Use the bisector method to guarantee a solution for the equation 8x -16x = -7 in the interval [0,1]…

A: The solution of the equation: f(x)=0 lies in the interval: a, b, if f(a)f(b)<0. The bisection…

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A:

Q: Consider the equation: x + 4 – 77 = 0 A) First, use the "completing the square" process to write…

A: detailed solution is given below

Q: Use the substitution technique to solve the following equations, then submit the picture. y = 4x + 6…

A:

Q: What is the intermediate step in the form (x+ a)² = b as a result of completing the %3D square for…

A: Topic- Quadratic equations

Q: & and ß are the roots of a quadratic equation such that a + B = 2 and aß =. The value 3. *of a' + B?…

A: we have to find the following

Q: Given the roots are: z 8 ± 2i, write the quadratic equation, by correctly filling in the blanks.…

A:

Q: When completing the square for the quadratic equation shown below, how is c calculated?

A: Our Aim is to show how c is calculated when completing the square for thequadratic equation…

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A:

Q: Step 2 Substitute / w+ 4 into Equation 1 and solve the resulting equation for w. 21+ 2w 48 2(w+4) +…

A: Explanation and solutions is given below.....

Q: Convert the given quadratic equation to vertex form, i.e., y = a(x – h)² + k. y = x2 + 6x – 9

A:

Q: Given the equation x2 − 22x + 2y2 + 57 = 0 find the foci, vertices, directrix, axis, and asymptotes,…

A: Given equation of ellipse: x2-22x+2y2+57=0 The above equation can be rewritten as: x2-22x+2y2=-57…

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A: To solve the given equation in standard  form and then plot the graph.

Q: The diagram below shows rectangle WXYZ with P as the intersection of the two diagonals. If WY : 22…

A: The diagonals of a rectangle are equal and bisect each other.

Q: Find the discriminant of the quadratic equation and give the number and type of solutions of the…

A:

Q: is making the kite shown (shorter sides measure 24 inches) with a perimeter of 120 inches. 24 in.…

A: Given  perimeter of kite =120 inches

Q: If Zc and Zy are supplementary and Zc = 104°, solve for y. Write your answer in %3D degrees.

A:

Q: the center-radius of the equationn 9x²-18 x+ 9+9y? + 12y=12 be obtained by adding both sides of the…

A:

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

A:

Q: In any trapezoid, the sum of the squares on the diagonals is equal to the sum of the squares on the…

A:

Q: 3. Find all solutions to the equation (D² – 3D + 2)y(x) = 2e3ª.

A:

Q: A parabola is modeled with the equation x2 – 6x + 4y – 19 = 0. Which is the domain and range of the…

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Q: Use the method of completing the square to determine the exact values of z for the equation z - 6z +…

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Q: To solve the quadratic equation z² – 4x – 2 = 2, we can graph these two equations Y1 = a? – 4x – 2…

A:

Q: Complete the square of the following equation that is in STANDARD form to find the VERTEX form of…

A: Standard form :y=x2+4x+7

Q: Graph the quadratic equation y = 10x² – 2x – 1 by creating a table of (x,y) values.

A: To plot the quadratic equation y=10x2-2x-1.

Q: Write equation 16x2 - 24xy + 9y2 - 60x - 80y + 100 = 0 as a quadratic equation in y and then use the…

A: We need to use a graphing utility to graph the following exercise Given quadratic equation…

Q: Find all solutions to the equation (D² – 3D + 2)y(x) = 2e³".

A: Given differential equation is (D2 - 3D + 2)y(x) = 2e3x

Q: 2: Find the area of the triangle formed by the axes of co-ordinates and the straight line 5x + 7y =…

A:

Q: What is the intermediate step in the form (a + a)2 = b as a result of completing the square for the…

A: We need to write the equation,.

Q: Find the vertices and foci of the ellipse: 6. (x-1) (y+3)? = 1. Round to nearest tenth if…

A: Given- x-129+y+3236=1 To Find- The vertices and focii of the ellipse.

Q: In order to solve the equation above for b, you must multiply both sides of the equation by the same…

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

Q: 7p² 16 and determined that Sam was given the quadratic equation-2 the best method for solving it…

A:

Q: Put the quadratic into vertex form and state the coordinates of the vertex. y = x? – 4x + 22 Vertex…

A: Given: The quadratic equation y = x2 -4x +22 To put: The given quadratic into vertex form and to…

Q: Graph the equation and find the root of the equation below: 4.45x+ 6.01x – 2.25x² + 1.12x – 4.3

A: To find the root of the equation using the false position method or regular falsi method, first find…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.