Directions: Transform the following equations into standard form. 6. x^2 + 5x +5

Q: What are the coordinates of the image D0.5)(1, 2)? coordinates

A: To find the coordinates of the image of D0. 5(1, 2)

Q: Identify the surface with equation 9x2 – 4y?+ 16z2 – 144 = 0.

A: Given: The equation 9x2-4y2+16z2-144=0 To find: The name of type of surface with the given equation.

Q: * +у + 4x-6у-36%3D 0

A:

Q: Develop the equation

A: we are given an expression here  (x33-x2)2 first we will expand this using formula  (a+b)2=a2+b2+2ab…

Q: Evaluate z= (2cis30°)’. Leave your answer in the exact standard / rectangular form.

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Q: What are the coordinates of the focus of the parabola (y + 5) = -8(x – 4) Enter your answer by…

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Q: Consider the equation x2 + 8x² + z² = 30, then take a cross section when x = 1. Describe the…

A: 6.     Resulting shape gives two parallel line.

Q: Convert the rectangular equation x2 + y2 = 8x to an eq %3D

A: By using the relationship between rectangular coordinates and cylindrical coordinates . We can…

Q: Parallel to y + 8x = 4, through (3, 4); slop- intercept form

A: The line is parallel to y+8x=4, passes through 3, 4

Q: Write the standard form of the equation of the parabola that has the indicated vertex and passes…

A: To write the standard form of the equation of the parabola that has the vertex at the point 1, -4…

Q: Complete the square to express y= 3x – 10x – 5 in the form y=a(x-h)² +k. Then give the coordinates…

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Q: In which direction does the parabola x = -y 2 + 3 open?

A: x=-y2+3 There are two patterns for a parabola, as it can be either vertical (opens up or down) or…

Q: of Write an equation in vertex form for each parabola. 11. (5, 4) -16, 1)

A: Given

Q: Equation: y = x4 - 2xPoints: 10, 02; 11, 12; 1 - 1, 02

A: We have to plot the points that satisfy the equation y=x4-2x.

Q: Convert y = x + 12x +20 from standard form to vertex form. Only an algebraic solution will receive…

A: Given  y = x2 + 12x + 20  The given equation can be converted to the vertex form by the method of…

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: an equation is written in the general form f(x)=ax^2+bx+c, what technique/process can one use to…

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Q: Rewrite the equation from vertex form to standard form. Vertex Form: y = - 1(r – 3) – 4 Standard…

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Q: Express x+y -16x+6y+1%3D0 as the equation of a circle in standard form. Identify the center and…

A: Given equation is x2+y2-16x+6y+1=0. The general equation of a circle centered at (a, b) with radius…

Q: Write the standard form of the equation of the parabola that has the indicated vertex and passes…

A: Given information: The vertex of the parabola is 2,-4 and the points is -2,44. Calculation: The…

Q: Sketch y = x3 – 1

A: Given y=xx3-1

Q: Change the equation form slope intercept form to standard form y = 3x - 5 X - y%3D

A:

Q: A circle has an area of A=36r and a center of (-4,0). What is the standard form equation of this…

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Q: Write an equation for the parabola in standard form. y 10 (0, 7) - 10 -5 5 10 (-3, –2) -5 -10f Step…

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Q: 2 + (y– 6)² < 2

A:

Q: Find an equation of the parabola that has focus F (-3,-3) and directrix y = 1

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Q: Give the properties for the equation x 2 - 3y 2 - 8x + 12y + 16 = 0 Center (4, 2) (4, -4) (4, -2)

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Q: equation in the form specified. Perpendicular to 5x - 9y = - 20, through (5,-5); Standard form

A:

Q: An insurance company tracked the number of weekly “Hard Breaking” incidents in its car drivers.…

A: The histogram for an insurance company tracked the number of weekly “Hard Breaking” incidents in its…

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: the general equation От а ircle with center (4,-1) and a rac of 7 units * ) x^2+y^2-5x-5y-31=0 )…

A:

Q: fl-8)== y= 3/x at point (-8;2) %3D m =

A: We are given the function f(x)=x3. Here,               f(-8)=-83=-2. Now, we need to find Slope of…

Q: Write an equation for each parabola. 55. 56. y (3,5) y (3, 4)- x=-2 (0,-4) 57. 58. 4 -4 04 8 (-9, 1)…

A: We have to find the equations of parabola.

Q: Suppose you are climbing a hill whose shape is given by the equation z = 1300 – 0.005x - 0.01y“,…

A: The given equation is  z=1300-0.005x2-0.01y2 and the given point is (120, 80, 1164)

Q: Can you help me convert -2x+y = 7 the standard form in to slope intercept form

A: We have to convert - 2x + y = 7  ........ (1) the standard form into the slope - intercept form . We…

Q: A baby has its first doctor's visit when it is 5 months old and it weighs 21.5 pounds. The doctor…

A: Given: When the baby is 5 months old, then it weighs 21.5 pounds.  The baby gains 2.5 pounds of…

Q: Evaluate z=(2cis30°)*. Leave your answer in the exact standard / rectangular form.

A:

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: Center-Radius Form Center 1. (2. 4) 2 (-3, 1) 3. (5, -3) 4. (-1, -2). 5. (-4, -3) Radius General…

A:

Q: Convert y == x +12x+ 20 from standard form to vertex form. Only an algebraic solution will %3D…

A: vertex form y=a(x-h)2+k

Q: circle has an area of A = 15.7  and a center of (3,-2).  What is the standard form equation of this…

A: standard  form of circle whose center is at (h,k)  and radius is R is given as (x-h)2+(y-k)2=R2

Q: Equation y= 2 aput Output y 21 2. 1 4 2.

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

Q: Convert a = 600 to a Cartesian equation. y = x/2 x = v3y Oy= v3x

A:

Q: 4. Reduce the equation to the intercept form: 5х - 2у%3D-10

A: Consider the given equation as 5x-2y=-10

Q: 2- 6x-y+11= 0

A:

Q: (D5 - 2D3 - 2D2- 3D - 2)y = 0. Auxiliary equation and general equation

A:

Q: Write the standard form of the equation of the parabola that has the indicated vertex and passes…

A: GIven information: The vertex of the parabola is -3,4 and the point is 0,13. The general equation of…

Q: Convert the following equation into standard form. y = 2x – 4 - -2x + y = [?]

A: Given:           y=2x-4 The standard equation is in the form of  Ax+By=C    where C is constant.