Describe the composition of transformations of the Triangle ABC-->A'B'C'-->A"B"C" O Translate 5 units up, then rotate 90 degrees clockwise O Rotate 180 degrees, then reflect across the line y 2 O Reflect across the line y = -1/2 then rotate 90 degrees clockwise Rotate 90 degrees clockwise then reflect across line x = 1

Q: 6. Write the rule to describe the rotation. I' A I A'

A: Any point in the cartesian coordinate system is represented by the ordered pair: x, y. Start from…

Q: 4. Evaluate and convert into polar form. √√2+ = = = 3 2i -√8-2²/1 3

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Q: Convert the rectangular form of complex number to polar form : 5.25-j8.35 Select one: O a.…

A:

Q: Becca performed two transformations on triangle ABC to create triangle A"B"C", but she can't…

A: The resulating traingle on same A"B"C" grid coordinate (4th quadrant)

Q: Find the polar form of 1 + sqrt(3i)

A: Find the Polar form of complex number  Given z = 1 + √3i

Q: Identify the vertical translation for the equation. Do not sketch the graph. y = - + cos x unit dn O…

A: The equation is given by y=-17+cosx To objective is to find the vertical translation.

Q: -Usc polar coordinate to evaluate a2-x2 dxdy a2-x2 axdy

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Q: r= 4/ 2-2cos theta. identify the directrix and vertex

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Q: Complete the polar coordinates of points A, B, or C on the graph. For example, point D's coordinate…

A: The polar coordinates are given by the pair  where r is the radius of the circle on which the point…

Q: 50. Convert (-2, 5) to polar coordinates. A. (√29, 68°) B. (√14, 68°) C. (√29, 292°) D. (√4, 292°)

A: Note: None of the options are correct.  Please go through the answer and try to understand the…

Q: Rotate the image in a 90 degrees clockwise rotation about the origin.

A: We know that if we rotate a point (x,y) in clockwise 90 degrees about the origin then the point will…

Q: 19) Write the complex number in polar form. -12 – 7j

A: Given the complex number, z=-12-7i The objective is to write the complex number in polar form.

Q: V2x-x2 SS2*-*" (x² + y²) dydx

A: Changing cartesian to polar coordinates: x2+y2=r2x=rcos θy= rsin θ x ranges from 0 to 2y ranges from…

Q: 1) How (and in what way) do the transformation parameters a, k, c, d, affect or correspond to the…

A:

Q: Decide if the points given in polar coordinates are the same. If they are the same, enter T. If they…

A: a) x=8cosπ3=8*12=4y=8sinπ3=832=43x=-8cos-π3=-8*12=-4y=-8sin-π3=832=43Therefore8,π3≠8,-π3

Q: 7. Convert the points from polar to rectangular. Plot all points on the same graph and label each…

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Q: - (Convert to polar form: z = -2+2/i

A:

Q: Find the complex number 1, where z, = 3-2.j, z, = 1+4j. Za

A: We need to find the Complex number z1/z2 where z1=3-2j and z2=1+4j.

Q: Graph the ordered pair on a polar coordinate system. (-2. - ) 3

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Q: Look at this shape:

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Q: (32-120°)+(14120°) b. (Express your answer in exponential form) (4-i)(-1-1)

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Q: Replace the Cartesian equation (x+ 4)² + (y- 2)2 = 25 with equivalent polar eauation

A: Ans :   we will convert this given cartesian equation in polar equation  by putting - x = r cosθ…

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.