Convert the following equation into vertex form by completing the square. x² – 18x + 21 O (x – 8)² + 21 - O (x – 9)? – 60 - - O (x + 9)² + 60 O (x – 18)² – 60 |

Q: f(x)=-x²+10x+11 Put in vertex form.

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Q: Find the area of the playing field described byR: -2 ≤ x ≤ 2, -1 - √(4 - x2) ≤ y ≤ 1 + √(4 - x2),…

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Q: 2. Illustrate how one can complete the square using symbolic notation and algebra tiles to rewrite…

A: since you have asked multiple questions in single request so we will be answering only first…

Q: 3. Which equation is the standard form a- 4y + 6x – 8y+1= 0?

A: Given,            x2-4y2+6x-8y+1=0To find : Write the equation in standard form.

Q: The vertex of the parabola f(x)= x2 + 16x + 6 is 0(-16,-40) O (-8,-52) O (-24,-58) O (-16,-58) O…

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Q: Solve the following for x by completing the square. Must show all work  a) 4x2-5x-6=0 b) x2-11x=60

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Q: What is the vertex of the following quadratic equation? y = x +8x O (-4, 16) O (4, -16) O (4, 16) O…

A: It can be expressed as the general form of parabola.

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

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

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Q: Put the quadratic into vertex form and state the coordinates of the vertex. y = x+12x+4 Vertex Form:…

A: Given quadratic equation in vertex form and find coordinate of this vertex. y = x2 + 12x + 4

Q: Use the method of completing the square to express f(x) = 3x - 24x + 58 in vertex form. %3D

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Q: Put the quadratic into vertex form and state the coordinates of the vertex. y = x² – 10x + 9 Vertex…

A: Given: y=x2-10x+9

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

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Q: Convert this into a quadratic in standard form. State a, b, and c for your solution. 3(x- 2) +1 = 28…

A: Using standard form of quadratic equations,

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

A: 5x2-20x-370=-155(x2-4x-74)=-15x2-4x-74=-155x2-4x-74=-3x2-4x=-3+74x2-4x=71

Q: Determine all the roots of R(y)=12y²+11y-5

A: R(y)=12y²+11y-5

Q: Use any method to find the solution to: 2x = 16 - 8y x+ 4y = 25

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Q: Verify that the quadratic form ax? +bxy +cy²is the same as - [x y]

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Q: The vertex of the parabola f(x) = x2 + 20x + 3 is О (-30, -97) O (-20,-97) о (-20,-20) О (-10, -94)…

A: Given Parabola is y=f(x)=x2+20x+3 find the vertex of the parabola

Q: Friday 1. x2-9x+14=0 Name the x intercepts for the quadratic below.

A: We have to find the x-intercepts for the quadratic equation. For x-intercept find the solution of…

Q: The equation m2/3 + 10m1/3 + 9 = 0 is said to be in __________form, because making the substitution…

A: In mathematical expressions/equations, power to which a variable has been raised is called an…

Q: Put the quadratic into vertex form and state the coordinates of the vertex. y = x² – 2x – 15 |…

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Q: What is the vertex of the quadratic, 3x - 12x - 1 = f (x) O (4.082,0) O (2, -13) (3,1) O (4,-1)

A: Given, The quadratic expression fx = 3x2-12x-1 We have to find its vertex.

Q: - Classify the quadratic forms below. 9(x1)? - 8x1x2 + 3(x2)? b. -5(x,)² + 4x,x,- 2(x,)2 a.

A: Here is the solution of the given problem. Quadratic Forms:

Q: 1. Complete the square to write y = -2 x2 + 16 x – 21 in the form y = a (x - h)² + k

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

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Q: Solve the quadratic by looking at the graph. 10+ 4 2 10 -9 8 -7 6 -5 4 -3 -2 -1 i 2 345 67 8 9 1c

A: Given:

Q: Determine the type of the quadrilateral of this equation, for every a belongs to Real numbers 2x² -…

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Q: Make a change of variable, x = Py, that transforms the quadratic form x? + 10xjx2 +x; into a…

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Q: Select all the quadratic equations. 7x3 - 9x2 + 3x - 12 = 0 3212 - 23t = 9 x+ 6y = 42 x2 - 4y2 = 0…

A: The standard form of a quadratic equation is  ax 2+bx+c=0

Q: Find k in the equation 4x2 + kx + 1 = 0 so that it will only have one real root.

A: A detailed solution is given below.

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

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Q: Q3) Solve the following graphically and check your answer algebraically a) 2x-3y -13 4x +2y -2

A: Solving a linear pair of equation algebraically and graphically will give us the same solution set…

Q: Put the quadratic into vertex form and state the coordinates of the vertex. y = x² – 14x + 47 2…

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Q: Verify that the quadratic form ax2 +bxy +cy?is the same as b a 2 || x | [x y] b y 1/27

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Q: 12. Find all solutions. 4x + 56 2 %3D X - 8 x2 - 5x - 24 x + 3

A: Solution: The objective is to solve the given equation

Q: a) Find the discriminant of y = 14x2 - 13x +7. %3D b) How many roots does the graph of y = 7x2 – 23x…

A: Given that, There are two equation following, (a). y = 14x2 - 13x + 7 (b). y = 7x2 - 23x + 4 In…

Q: use the discriminant to help solve each problem. Determine k so that the solutions of x2 - 2x + k =…

A: Given equation: x2-2x+k=0 If descriminat D=b2-4ac<0 is negative, the equation has no real root…

Q: 28. For the following quadratic, find the vertex and axis of symmetry. Then, make an x-y table using…

A: The given quadratic equation is: y=-2x2+8x-3

Q: Put the quadratic into vertex form and state the coordinates of the vertex. y = x² + 18x + 32 Vertex…

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Q: Q3) Solve the following graphically and check your answer algebraically a) 2x-3y -13 4x+2y--2

A: Given system of linear equation is: 2x - 3y = -13 .................. (1) 4x + 2y = -2…

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

A: Given :                 x2 - 18 x = -117 To find :                  The intermediate step

Q: \(\) The geometric representation of the equation -4x² - 4y² = -12 is not a cylinder in R².

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Q: Find the points on the graph of 3x2 + 10xy + 3y? = 9 closest to the origin.

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Q: to re-write the quadratic .2 y = x- 10a +2

A: Solution: The objective is to rewrite the given quadratic equation

Q: A. Find the square of the following. 1. (x+ 2) = 2. (x + y + 2)? = 3. (x- 2y + z)-

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: x² – 3x + 2 = 0 <-2 OF What are the solutions of the quadratic equation with this graph? M

A: Given a quadratic equation, x2-3x+2=0

Q: Find the vertex of f(r) = -4x^2 + 7x- 4 by completing the square

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Q: Put the quadratic into vertex form and state the coordinates of the vertex. y = x² – 10x + 45 Vertex…

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

A: Method for completing the square :   To solve ax2+bx+c=0 by completing the square :  (1)  Transform…

Roots

The main dissimilarity between real and complex roots is that the real roots are obtained as real numbers, in contrast with the complex roots, which are indicated as imaginary numbers. The standard format for depicting any complex number is in the form of a + bi.