Classify and reduce the following equations to a canonical form:

Q: Write the coordinates of the vertices after a rotation 90° counterclockwise around the origin.

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Q: Identify the quadric with the given equation and give its equation in standard form…

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Q: Give the conjugate of 14i

A: Topic - complex number

Q: Find the midpoint of AB if A(-3, 8) and B(-7, -6)

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Q: Plot grph when ∞ = {.25 %3D =ト えキxCa-) givin X0.1 0.2 0.3

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Q: Evaluate the following (Express all answers in Rectangular form);

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Q: Write the coordinates of the vertices after a rotation 90° counterclockwise around the origin. 104

A: NOTE: Refresh your page if you can't see any equations. . now, if you rotate the point (x,y) 90…

Q: Find each scalar multiple. aа. 2(3, 1) b. 3(-5, 1) c. -(-6. 0)

A: Given: a)  23,1b)  3-5,1c) -12-6,0 To determine: Scalar multiple in each case.

Q: Graph the image of each shape using the translation given

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Q: Find the coordinates of the intersection points A, B, and C in the image below

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Q: Rotate the point -190° to within 10°. y (о, 1) (-1, 0) (1, 0) (о, -1)

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Q: Solve the BVP for the disk

A: In this question, we solve the Laplace equation in polar form. The B.C are given as exterior of the…

Q: Determine whether the points (-1,4), (-1,-1), and (-1,-7) are collinear.

A: NOTE: Refresh your page if you can't see any equations. .

Q: Evaluate the following: (Express all answers in a rectangular form)

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Q: Find the distance between the two points in simplest radical form. (7,-1) and (3, 8)

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Q: Use the adjoint of A to find A−1, where

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Q: C is the center

A: The circle with center C is shown. The two triangles inside the circle are isosceles and congruent…

Q: Enter the ordered pair for point A in the boxes. A 2- 1 -2. -1 2

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Q: Every parallelogram has diagonals that bisect each other. O True O False

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Q: 1. Reflection across x-axis A 1

A: As per guidelines we are allowed to answer the first question only please resubmit other questions…

Q: Calculate (−1+i)5  . Give your answer in a+bi form.

A: Given,

Q: Graph the first-octant portion of each plane.x = 5

A: We have the given equation of plane as x=51x+0y+0z=5            ⋯⋯1 Since, we need to plot the graph…

Q: What is the image of (8, 7) after a reflection over the line y = -x? Submit Answer

A: To find the image of (8,7) after a reflection over the line y=-x

Q: Objects that move at a constant speed are said to be in______ _____

A: It is known that when a motion of an object travels in a straight line and the velocity of the…

Q: Express the following in Cartesian form

A: As,  cos 300o= 12 and sin 300o= -32. Now, put the values and simplify.

Q: Objects that move at a constant speed are said to be in ______ _______ .

A: It is known that when a motion of an object travels in a straight line and the velocity of the…

Q: evaluate and simplify into cartesian form (2+j3) / (5-j4)

A: Multiply the numerator and denominator by the complex conjugate of 5-4j

Q: Determine whether the points are collinear.(−1, 0), (1, 1), (3, 3)

A: Now slope of the line joining the points A and B is, Now slope of the line joining the points B and…

Q: Graph the image of square RSTU after a rotation 270° counterclockwise around the origin.

A: Square RSTU lies in 3rd Quadrant. So, after rotating at an angle of 270° counterclockwise around the…

Q: Reconstruct the figure by removing each green shaded cube.

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Q: Find the value of b in parallelogram VWXY.

A: Find the value of b.

Q: n into cartesian coordinat

A: The polar equation is r=2rsin2θ+cosθ Convert into cartesian equation,  Use x=rcosθ , y=rsinθ. Apply…

Q: Two marathon runners pass a diagonal sidewalk on a street, shown in the diagram. If the runners…

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Q: Write each point as a sum of scalar multiples of vị and v2. Enter v1 for vị and v2 for v2.

A: Vectors are scalar quantities when defined in a particular direction. The scalar quantity is defined…

Q: Rotate the point 465° to within 10°. (о, 1) X. (-1, 0) (1, 0) (о, -1)

A: According to question given that rotate the point 465° to within 10°

Q: 1. A (-2,-1), В (-1, 3), С (4, 3), and D (3,-1)

A: We will find the slope of each of the four lines and then compare the slopes to find if we have a…

Q: Calculate (4 – i)'. Give your answer in a + bi form

A: The formula of the binomial theorem for the expansion of a+bn is given by a+bn=∑k=0nnkan-kbk.

Q: Perform all operations and express your answer in a + bi form. |9 − i|

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Q: the exercise is in the attached image

A: Laplace transferom

Q: find the midpoint of AB if A(-3,8) and B(-7,-6).

A: GivenA(-3,8) and B(-7,-6).

Q: Determine whether the three points are collinear. (0, - 6), (– 3, – 18), (2,2) Are the three points…

A: We have to  calculate whether three points are collinear

Q: Write the coordinate of the vertices after a rotation 270 degrees counterclockwise around the origin

A: Explanation:

Q: Use any pair of points to calculate

A: As given in the question, we can take any two points on the line to calculate slope. Let us take…

Q: Which equation represents the ine of reflection that maps AABC onto AEDP

A: Let's Solve,

Q: he y-coordinate ha:

A: We have to find

Q: Identify all possible lines of symmetry for each figure

A: There will be two possible lines of symmetry. The lines which are possible for the given figure are…

Q: Perform the indicated operation when A = %3D -1 A?

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Q: Find the missing dimension

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Q: Select all of the reflections that will carry the rectangle onto itself.

A: We have to find the reflection that will carry the given rectangle onto itself.

Q: Find x so that (-2, 3), (x, 6), and (8, 8) are collinear.

A: Colinear:  For (-2,3),(x,6),(8,8) are colinear. -231x61881=0