Write y as an affine combination of the other points listed. 1 1 5 1 4 - 5 y = -29 %3D V2 V3 2 - 2 1 15 O A. y= 8v, + 2v2 - 4v3 O B. y= 2v, - 4v2 + 3v3

Q: The product of2r - 3 and x +4 can be expressed as A) 2r2 +x - 12 C). 2r2- 12. D 2r2 + 5x - 12 B)…

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Q: Given: (6, 0, –2) and (0, 8, 0). (6,0, –2) × (0, 8, 0) = æi + yj+ zk. Find x +y+ z.

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Q: A laser beam shines along the ray given by r(t) = (5.1.7) + (5,3,-2) for t≥ 0. The second laser beam…

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Q: Find (a) v x w ,(b) w x v ,(c) w xw ,and (d) . v x v .

A: Given the vectors v=i−4j+2kw=3i+2j+k

Q: ZA and ZB are supplementary. If mZA = (8x+100)° and m B=(2x+50)°, find m/A and m/B.

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Q: 2 (45-x) 开 (2x +30) 于 5

A: Solve for x

Q: Evaluate as indicated. If z(t)=2x2+7t-4. find z(-6) and z(3)

A: Topic:- algebra

Q: Q5 1 Find proj; (w) where w= and v = 2 -2 3

A: Solution:Given     w=10-2     and     v=123To find:projvwFormula:projvw=P wwhere P=v vTvT v

Q: Find x, y, z, and w. x 8 (2x- 1) (2x - 3) 7y (w + 1) (6y + 5) X = y =

A: Given x82x-1y67y=2x-3z55w+16y+5.

Q: (7a - 5b + 2c)- (-6a+8b - 4c) (7a - 5b + 2c) - (-6a+ 8b – 4c) =

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Q: a Add. 1. (3x + 2) + (-4x + 3) 2. (6x + 1) + (-7x +2) 3. (-ár + 2) + (x² + -3)

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Q: b 11. Find the vertex of f (x) = x² – 8x + 16. Use x = 2a A. (4,0) (- 4,0) С. (0,4) D. (0, -4) B.

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Q: I is the incenter of the triangle. Al-3x+7, BI-5x-11, & CI-52-2x CI=[? ] B

A: Given query is to find indicated length.

Q: Find a + b, 2a + 3b, lal, and la - bl. a = i +3j - 4k, b = -3i -j + 6k a+b= 2a + 3b = |a| = |a - b|…

A: Given vectors  a = i + 3j - 4kb = -3i - j + 6k

Q: B|a- Find u.v and v xu if u=i+2j-k and v=-2i+2j+2k

A: We have to solve given problem:

Q: BV St P X, X2 X3 S, 8 2 2 10 Const. 32 30 40 2 8. -5-3-2

A: Given the following tableau: BV P X1 X2 X3 S1 S2 S3 const S1 0 8  2  2 1 0 0 32 S2 0 10 6 4 0…

Q: Find (a) v x w ,(b) w x v ,(c) w xw ,and (d) . v x v .

A: Solution:Given    v=-i+3j+2k              w=3i-2j-kFind:(a)v×w(b)w×v(c)w×w

Q: EVALUATION A. Express each item in simplest form. 1. (-6x³y*)³ 2. (5a?xy)(b³y*)³ 12x5y* 3. 3x²y3

A: Property 1: (pq)n=pnqn Property 2: amn=amn Property 3: aman=am+n Property 4: p-k=1pk

Q: 7b + 8b2​2​​ + 3 + y + 2b + 2y + 2 =   A 17b2​2​​ + 3y + 5 B 8b2​2​​ + 9bb + 5y C 8b2​2​​ + 9by +…

A: 7b + 8b2​2​​ + 3 + y + 2b + 2y + 2 = ?

Q: Find a + b, 2a + 3b, lal, and la - bl. 4 a = i + 3j - 2k, b = -3i - j + 7k a + b = 2a + 3b = |a| |a…

A: We have vector a and b. Need to perform indicated vector operations.

Q: – 2d] a + 2b c If l2c + d 2a - bl 24] = find a, b, c, and

A: I

Q: Find å + B, 2å + 35, |äl, and |ä – | for å = i + 2j – 3k and b = -2ï – j + 5k.

A: solution:-a→=i→+2j→-3k→b→=-2i→-j→+5k→(1)a→+b→=i→+2j→-3k→+-2i→-j→+5k→         =1-2i→+2-1j→+-3+5k→…

Q: Find a closed form foo a, = 2 , an= an- +n+6 =D2 %3D

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Q: Q1: Determine if a +b+c+d=10 where a, b, c, d ER are such that: 6x³+3x²-5 -1 2a x-l + 3b x+1 + cz…

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Q: w+5 -dw w - 6w+10

A: A detailed solution is given below

Q: а. (4D + 1)(D — : с. (D — х)(D + х)

A: Since you have asked multiple question, we will solve the first 3 question for you as per our guide…

Q: Find the product. (2² + y) (3x² – y)

A: We need to find the product of the given expression,                 x2+y3x2-y

Q: Write y as an affine combination of the other points listed, if possible. 1 y - 2 - 3 10 V1 %3D V2…

A: We have to write y as an affine combination of the other points listed, if possible.

Q: 4x, +2x, + x3 = -1 -4x, — 6х, + х, +Зх, %3 3 8x, +16х, — 3x, — 4х, %3D-2 20x, +10x, + 4x, – 3x, = 4…

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Q: 1 Which of the following is the reduced row echelon form of 2 -3 2 24 4 -6 -1 -1.7 -1 1 0? 0.

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Q: Determine whether the points (-9, 8, 1), (10, -15, 5), (6, 6, -12), and (8, -4,-3) are O no O yes…

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Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.