Simplify. Write answer in the form a + bi . (3V5+4)(3V5-4) = %3D %3D II

Q: Determine the values of the variables to satisfy the equation using Jacobi. 5a - 2b = 40 Ans. a =…

A: Given: Using Jacobi, find the values of the variables to fulfill the equation and the given…

Q: Use back substitution to solve each of the followingsystems of equations: x1 + 2x2 + 2x3 + x4 = 5…

A:

Q: Solve, z2 - 4z + 5 = 0 Given that z, = 3 + i, z2 = 4 – 3i, z3 = -1+ 2i and z4 = -2 – 5i, determine…

A: Given equation is, z2-4z+5=0 Now, z=4±16-4×52⇒z=4±-42⇒z=4±2i2=2±i So, the solutions are z=2+i, 2-i

Q: Determine the value of z in the below equation, giving the answer in the form x + yi. z-8=i (7-2z)

A: Solution

Q: If a1 9 and a,=-3a,-1 5 then find the value of as. %3D %3D Answer:

A:

Q: Find the values of x and y such that -4 -8y -2 -12 2 7x 17) 3 2y 3 -4x 6. 3 Answer:

A:

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

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Q: y 25 15

A:

Q: Find the solution set of the following equation in simplest a+ bi form. x - 3x +9 = 5x - 10

A: The given equation is  x2 - 3x + 9= 5x - 10

Q: Eliminate the arbitrary constants of the equations below. y = cje-3x + cze4x + e*

A:

Q: о(2иv? - 3)du - (Зи?и? — Зи + 4»)do %3D 0

A: For the solution follow the next step.

Q: if (a+b+2c+3d)(a-b-2c+3d)=(a-b+2c-3d)(a+b-2c-3d) then 2bc is equal to??

A:

Q: u" - 16u = 0

A: Given the differential equation is u" - 16u = 0. Here the auxiliary equation is m2 - 16 = 0

Q: n(A U B) = 200, n(A N B) = 50, and n(A) = 110 %3D %3D Find the value of y.

A: Follow the steps.

Q: Solve the following: 7x +3 = 24 %3D x= [ ? ] %3D

A:

Q: Solve for the value of v. (5V+6)° (4V+3)°

A: Consider the given figure. We have to evaluate v. The given figure has a straight line and a ray on…

Q: Let r = a and x=b be the solutions to the equation below. What is the value of a +b? |3D (2x- 1)…

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Q: Given B = find B2. i

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Q: Find the equation whose roots are the reciprocals of the roots of the equation: 2x2−3x−5=0 Group of…

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Q: gu) 此? 就” t t-40s3t + t-t tto %3D 2

A:

Q: What is r for each of the equations?

A: Like in the rectangular form the variables are x and y. Same way in polar form the variables are r…

Q: Which of the following is the principal square root of - 4?(a) - 2i  (b) 2i  (c) - 2  (d) 2

A: The given number is -4. If N is a positive real number, then the principal square root of -N,…

Q: Solve for x. 17 13x 7 8.x

A:

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

A:

Q: Solve for x. Each figure is a parallelogram. 8) 9) U 10 -4 2x- 16 3x -2 K 10) 11) -12+ 2x -12 + 2x…

A: Since you have asked multiple subpart,as per our guidelines we are supposed to answer only first 3…

Q: Which equation can be used to solve for z in the following diagram? (2x + 15)° 65° Choose 1 answer:…

A: Given two angles (2x+15)° and 65° We have to find x

Q: Given 9x² + 25y² – 54x – 50y – 119 = 0, find the standard form of the equation: %3D

A: Transform x and y into perfect squares.

Q: Directions: Transform the following equations into standard form. 7. 2x^5 + 7x = 3x   8. x^2 = 3x…

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Q: * Find the length of R in terms of the other variables. D R

A:

Q: 4.) Which of the following equations is in standard form? a. x - y = 7 b. y = 3x - 1 c. x = 4y +…

A: Given equations are, a. x - y = 7 b. y = 3x - 1 c. x = 4y + 2 d. 10 - 5x = 2y

Q: following equations represents the

A: we have to determine which of the given equations represents the tangent function with period π3,…

Q: QU = U QR mST mQR = mXT=

A: Definition used -            Properties of chords of the circle-            1) If chords are…

Q: Find the solution of the following difference equation: An+2 + An+1 - 6an = 0, ao = 1, a1 = 0. %3D…

A:

Q: If B = 2w? + 1 and C = 1– w, find an expression that equals 2B – 2 %3D %3D - in standard form.

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Q: m(z + 3i) = 6

A:

Q: Write the following equation in the form w = u(x,y) + iv(x,y) h(z) = (3z + 2i) / (2z2 + 4)

A:

Q: If D = w? – 7 and C = 3+ 10w, find an expression that equals D – C in %3D - standard form.

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Q: Given ğ = – 9ỉ – 4j and 7 = 31 – 73, find ğ + q. %3D %3D - g+q =

A:

Q: Solve: 4y? + 4y + 16 = 0 y = Enter your answer in the form a + bi.

A:

Q: Given 6x² – 5y² + 24x – 40y – 26 = 0, find the standard form of the equation:

A: Explanation of the answer is as follows

Q: Given: AM 2x + 1, MB Зх + 2, and %3D АВ %3D бх -4 Find: x and AB

A:

Q: yе dA, R %3D[0, 2] x [0, 3] | R

A: We will find out the required value.

Q: A 2x+3 B 4x-3 C 30 Enter the answers to the following in the boxes provided: %3D AB

A: Points A, B, C are collinear as they lie on the same line.

Q: 4) Which of the following is all of the solutions of y4 - y² - 6 = 0 ? a) ±2, ±√3 b) ±2, ±3 c) ±√3,…

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Q: If z =1- i, find the imaginary part of 2°. A -16 В -8 C 8 D 16

A:

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

A:

Q: raph the following equation. 3x-9y = -9 %3D ERph the oc

A: The graph of 3x-9y=-9 is given below:

Q: 30. Use the discriminant to determine which of the following equations have imaginary solutions.…

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Q: following equations 3X – 6Y = 9 9X + 12Y = -3

A:

Q: = (ry?, yz',-zx). Find grad(divA)

A: The given function A is: A=xy2,yz3,-zx3

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.