Identify the quadric x + y – 22² + 4ry – 2xz + 2yz = 0 and give the equation in standard orm.

Q: Solve, for z, the equation Inz = 4 - 3i.

A:

Q: Solve for x & y so that the figure is a parallelogram. 2y+ 8 –3x+ 4\ -4x–2/ 5.

A: Given: The given figure is a parallelogram. The property of parallelogram states that: The diagonals…

Q: 7. x2 +y? +14x- 12y + 4 0 %3D Center : (_and radius:

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

Q: 2 4x + 9to vertex form by Change the standard form equation y = x" completing the square. -

A:

Q: Identify the center vertices, co-vertices, and foci of x2+9y2+6x-90y+225=0

A:

Q: Classify the following equations as elliptic, parabolic or hyperbolic: а) и, — 4uxx = 0. - b) и, —…

A:

Q: Which of the following is the standard equation of 9y² – x² + 2x+ 54y+62

A:

Q: When the axes are rotated through an angle 4 π , find the transformed equation of 3x2 + 10xy + 3y2 =…

A: Axes are rotated through an angle 4π given equation is                             3x2+10xy+3y2=9…

Q: Find a parametric representation of the solution set of the linear equation.3x1 + 2x2 − 4x3 = 0

A:

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: Convert the following equation into vertex form by completing the square. x² – 18x + 21 O (x – 8)² +…

A: Given :                       x2 - 18 x + 21 Convert the equation into vertex form.

Q: a3u Q2/ If u = e*yz ,find the value of %3D дх дудz

A:

Q: D.E Solve the Fo llowing %3D

A:

Q: x2 + v2 - 2x - 8y- 47 = 0 %3D

A:

Q: Show that the equation 24 = (-5 – i/T) z+(60 – 80 i) has no solutions in the closed disc z| < 3.

A:

Q: Given the equation x² + y² – 8x + 4y + 11, = 0 find the standard form equation in the form (x – h)²…

A: The solution is given below.

Q: ind the missing coordinate to complete the given​ ordered-pair solution of y=3x−6. ​(−3​,?)

A: The solution is :

Q: Write the appropriate rotation formulas so that in a rotated system the equation 11x2 + 10√3xy + y2…

A: Given Data The equation is 11x2+103xy+y2-4=0.   Compare the equation 11x2+103xy+y2-4=0 with general…

Q: Find all the solutions of the Diophantine equation 6x + 9y = 21 %3D

A:

Q: Find all solutions to the following equations that fall in the interval [0,27]. 8sin³x + 4sin²x –…

A: Given, 8sin3x + 4sin2x  - 6sinx = 3 8sin3x + 4sin2x  - 6sinx - 3 = 0 4sin3x + 2sin2x  - 3sinx - 3/2…

Q: 8. Write the parabola y- 6y + 16x + 25 = 0 in standard form.

A:

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

A:

Q: Complete the square to find the vertex of this parabola. x² – 12y – 6x + 5 = 0 3,-

A:

Q: Find a parametric representation of the solution set of the linear equation.12x1 + 24x2 − 36x3 = 12

A:

Q: z₁ and 2₂ are the roots of 3z² + 3z + b = 0. If O(0), (z₁), (2₂, form an equilateral triangle, then…

A: Given that z1 and z2 are the roots of 3z2+3z+b=0. If O(0), z1, z2 form an equilateral triangle.

Q: z₁ and z₂ are the roots of 3z² + 3z + b = 0. If O(0), (z₁), (2₂ form an equilateral triangle, then…

A: Given that z1 and z2  are the roots of 3z2+3z+b=0. If O(0), (z1), (z2) form an equilateral triangle.…

Q: 3. Get the following equations in 'y =" form: 2x + y = 3 and 6y 12x + 18

A:

Q: FIND VALUES (IF ANY) OF THE UNKNOWNS X AND Y WHICH SATIFY THE FOLLOWING MATRIC EQUATION - 4 – 3] y…

A:

Q: Which cube root equation shows a x-axis reflection, a vertical compression, a left horizontal…

A:

Q: The three-dimensional quadric figure below is described by: x² + 2y? + 2z – 5 = 0

A:

Q: Find all the solutions of the Diophantine equation 25x + 55y 50 %3D

A:

Q: Complete the square to find the center and radius: x^2+y^2+2x+4y-1=0

A:

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

A:

Q: Solve for the directrix of the parabola y2 + 8x = 32

A: We have to solve for the directrix of the parabola y2 + 8x = 32.

Q: If A = 40ej120°. B = 20Z140°, C = 5 + 2i, solve for A + 2B + C in rectangular form. %3D %3D

A: Here i=√-1. Sometimes j is used instead of i.

Q: 5b. Solve the problem and upload your work here.* In the accompanying diagram of parallelogram ABCD,…

A: In parallelogram sum of any two adjacent angles must be 180°.

Q: m/B = 44.5° and mLW = 140°. Find mMU. %3D %3D

A: it is given that,  m∠B=44.5∘ and mLW⏜=140∘we have to find mMU⏜=?

Q: Find all the solutions of the Diophantine equation 25x + 55y = 50 %3D

A: Given equation is                                                          25x+55y=50 it can be…

Q: The figure is a rhombus. Solve for x and y 23°

A: Properties of Rhombus The opposite sides of a rhombus are parallel. Opposite angles of a rhombus are…

Q: When the axes are rotated through an angle x/4,Find the transformed equation of 3x2+10xy+3y2=9

A:

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

A: Given,  x2+y2−10x−16y+53=0Concept used:x2−2ax+a2=x−a2

Q: 19. If A = 40cj120". B = 20Z140°, C = 5 + 2i, solve for A + 2B + C in rectangular form. %3D %3D

A:

Q: E. Express x^2– 12x + 16y – 60 = 0 to standard form and construct the parabola.

A:

Q: Write the equation of the hyperbola 9x² – 4y? – 54x + 32y – 19 = 0 in standard form (x – h)? (y –…

A: Write the equation of the hyperbola  9x2 - 4y2 -54x +32 y  -19 =0 In the standard form  (x-h)2 /a2 -…

Q: the following DE Solve +4Cy-1x %3D

A:

Q: Write the equation of the parabola x^2+10x+20y+45=0 in the standard form for parabolas

A:

Q: A Ferris wheel is elevated 1m above the ground. When a car reaches the highest point on the Ferris…

A: Given: A Ferris wheel is elevated 1m above the ground. When a car reaches the highest point on the…

Q: Identify the quadric with the given equation and give its equation in standard form. x2 + y2 + z2 -…

A: x2+y2+z2-4yz=1

Q: Compute the discriminant. Then determine the number and type of solutions for the given equation.…

A: The standard discriminant form for the quadratic equation ax2 + bx + c = 0 is Discriminant: D = b2 –…

Q: Find an ordered pair (x, y) that is a solution to the equation. x-6y=6 (x, y) = OD %3D

A: