Q1) Solve the following system of linear equations: [ 3x-2y32-z 02) Find the largest possible area of a rectangle that be found in a circle whose diameter is (4). 2x -z-5 = -3y x +y +z = 6 n/121) Q3) Fi P34 1) P, (2 3 2) -sin

Q: Find the cartesian coordinates of the point  (4,3π/2) (√2, π/4) (-9,-π/6)

A: To find the Cartesian coordinates of the following points.

Q: 4- Find the equation of the straight line through A(3,1) parallel to the line AB whose equation…

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Q: 8) Multiply: (2a-3)(5a + 1) a. 10a²-3 d. 10a²13a-3 b. 7a²-2 e. 10a²-6a-3 c. 7a²-5a-2

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Q: If a and 3 are the roots of the quadratic 3r² – 4.x + 6 = 0, find the value of ( + )

A: We have to solve given problem:

Q: A line 4x + y = 1 through the point A(2, −7) meets the line BC whose equation is 3x - 4y + 1 = 0 at…

A: Let the equation of BC be 3x-4y+1=0      ....(1) and the equation of AB be 4x+y-1=0         ....(2)…

Q: Evaluate the values of x, y and z of the three equations three unknowns : 4x - 2y + 6z = 8 2x + 8y +…

A: Given: 4x-2y+6z=82x+8y+2z=46x+10y+3z=0

Q: ntercept Form = mx +b) Standard Form General Fo (Ax+ By = C) (Ax + By +C -3x + y -2 x+ y-7= ple: y =…

A: We have to complete the given table according to the given information

Q: 1a,c,e

A: The objective of the question is to determine whether the given equations are linear in x1, x2, and…

Q: Find the point of intersection of the equations: x + y =1 and x2 + y2 = 5 Select the correct…

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Q: a) Solve for x in the equation, 3*+5 = 7* , giving your answer to 2 decimal places. b) Express (7 –…

A: Hello, thanks for your question but according to our policy I am answering the first three subparts.…

Q: The equation of OP is (x- 3)+ (y- 1)²=9. Without graphing, explain how you can determine whethen che…

A: Given equation of circle is, x-32+y-12=9

Q: X.) Find the Discriminant describe the nature. X-5X-20 2) x² + 2x-24 = 0 3) x² - 10x + 25 = บ the…

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Q: 2. Write a quadratic equation that goes through the point (2, 2) and has the vertex of (-1,-3). L

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Q: Let a be a real number. What is the equation of the line that goes through (1,2+ a/2) and is…

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Q: Determine the solutions of each quadratic equation by extracting the square roots a) (Зх — 3)2 — 363…

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Q: Find all solutions of:2x + 2y + 4z = 8x - y + 2z = 2-x + 5y - 2z + 2

A: First we describe the given equations as a matrix. And then we use Linear algebra to solve the given…

Q: equation in standard form: (x²+(-²²-²² = center: : (30) √33 radius: 5. Consider a line segment with…

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Q: 6. Simplify. a) (2x - 3x2- 6) + (6x – x³ + 4x² + 5) b) (x² – 4)(2x² + 5x - 2) c) -7x(x² + x - 1) –…

A: Given that -

Q: Find the equation of the straight line through C(2,0) parallel to the line CD whose equation…

A: • Parallel lines have equal slopes. So, we can use this fact to find the equation of required line…

Q: Find the quadratic equation whose graph has vertex (3, 1) and passes through the point (2, 0) using…

A: Given:- Find the quadratic equation whose graph has vertex (3, 1) and passes through the point (2,…

Q: Complete the squares and shift the origin for the equation z= 2a + y? - 6x + 4y+3. Which of the…

A: Completing the squares and shifting the origin for the equation, z=2x2+y2-6x+4y+3…

Q: Complete the square for each of the following quadratic forms

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Q: You work for a radio station with a broadcast radius of 100 miles. On a particular coordinate plane,…

A: Topic- equation of circle

Q: o Interpolate the cubic and solve using the Vandermonde method. (-2, 11) (-1, 2) (1, 2) (2, -1)…

A: Where we have to use the vendor normed

Q: Ex(7): Find the coordinate of the point which divides the line segment from 3 (2,-3) to (-1,4) in…

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Q: 19) Find the distance between these two points. (-8, 5) and (15, -9) Use the formula: d = square…

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Q: The equation of the line that goes through (4,−4) and (6,11) can be written in the form y=mx+b,…

A: As per our guidelines we are suppose to solve only first question if the multiple questions are…