1. Given A(-9,-12), B(-2, 2). C(x, 6), 12. Given A(9, 2). B(-1, y), C(-5, 16). and D(-5, -2). find the value of x so that AB || CD. and D(-8, 11), find the value of y so that AB I CD.

Q: If (x + iy)i = a + ib , where x, y, a, b e R , evaluate y a elect one: O a. - a? + 2b² O b. -2a? –…

A: given x+iy13=a+ib

Q: C is between A and D. if A C = 2 x + 10, C D = 6 x + 2, and A D = 10 x + 4, then A D =________

A:

Q: For what values of x, y, and z will A = B? [y 9 2 x B 6. A 6 O x = -9, y = 6, z = -9 Ox = 6, y = 2,…

A:

Q: If X-B(5,0.6), then P(X 22) is (2

A: Here given, X follows a binomial distribution with n = 5 and p = 0.6

Q: If a figure is translated by the rule T(3,-3), which translation moves the image back to the…

A: Given,           A figure is translated by the rule T3,-3 which translation moves the image back to…

Q: Given v = (7, – 10), w= (-5, 11), and s (-4, –4), find 6(v+2w) –s . 6(v+2w) -s= (O,D)

A: The given values of V , W , S are converted into vector form is shown in the picture ,

Q: Calculate B(5,2) if B (a,r) = 2ar+r^3

A: I have to calculate B(5,2) It is given that B(a,r) = 2ar+r3

Q: Given u=(3, -2) and v=(-3, 2), determine -4u –v.

A: Given,          u=<3 , -2>  and   v=<-3 , 2>

Q: Given that P(X)= P(Y)= and P(XUY)= find 20 20 10 a) P(XnY) b) P(XIY)

A: Given,PX=920PY=720and PX∪Y=710

Q: Given v= (6, -10), w=(-5, 11), and s=(-1,-3), find 3(v+2w)-s. 3(v+2w)-s=( O>

A:

Q: O a. X=-9-10A, Y=- 7- 6A, Z= -6-3A O b. X=9+ 10A, Y= 7+ 62, Z= 6+3A P c. X=9-10A, Y= 7- 61, Z= 6-3A…

A: Topic:- geometry

Q: If a = {3,1,2}, b = {-1,1,0}, and c = {0,0,-4}, show that a x (b x c) does not equal (a x b) x c.

A: Given :            a=(3,1,2) , b=(-1,1,0) , c=(0,0,4)

Q: 2 If u 2 du, then x3 - 2 a = =-1, b = 60 a = -3, b = 60 b = -2, a = -10 a = -2, b = -10 a = -2, b =…

A:

Q: Given that A = 40 + 3ŷ + 2, B = –2â + 42, and C = ŷ+ 42, find: (Ã × B) x Č O a. -50âx-48ây+40âz O…

A: Given vectors are: A→=4x^+3y^+z^  , B→=-2x^+4z^  , and C→=y^+4z^

Q: Find C, (xy) if C(x.у) 2x? + 5ху - 9у? + 8х-Зу-9. Cx(x.y) =D

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Q: 3- -1 0 2 3 4 6. 7 %24

A:

Q: 2. If a = (2, -1,3) and b= (4,2, 1),find a x b and b x a.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Which of the following statements are correct if y, = 2x, Vi = 1,2,.,n? A. -2x В. у - 4х C. s -2s…

A: 8. Given statement yi=2xi Consider, E(Y)=E(2x)        =2E(X)     y¯=2x¯ V(Y)=V(2x)        =4V(X)…

Q: Indiana's favourite set is A = {r +1: zEZ, -3<zS1}, and Marcus's favourite set is just B= {3,...,8}…

A: Consider that set A=x2+1: x∈Z, -3≤x≤1 and B=3, 4, 5, 6, 7, 8. Since A=x2+1: x∈Z, -3≤x≤1 implies…

Q: IfΔΑBC~ ΔΖΥ, m4Α-50, and m4C-30, what is m/X ? Which statement is not always true when ΔΑBC ΔΧΥΖ 1)…

A:

Q: If a = (2, 0, 2), b = (3, 2, -2), andc = (0, 2, 5), show that a x (b x c) # (a x b) x c. аx (bx с)…

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Q: f A=2 and c=14 find b ABC with C=90

A:

Q: -30 with the given endpoints. 17. C(3, 5) and D(7, 5) 20. (-7. -5) and KI-3, 7)

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: If A=(7,8) and B=(2,4,6) find A x B

A: Explanation of the answer is as follows

Q: Given w= (-4, 12), s=(-6, -2), and r=(4, 11), %3D find 6r-(w+s). 6r-(w+s) =(| , O)

A: This is related to vector addition sub, and mul

Q: If X ~ Gam(1, 2), find the mode of X.

A:

Q: I’m item 6, the variable j could have been defined as the amount of money, in dollars, that Julio ha

A: Given that: Julio has 5 more dollars than Dan. Altogether, Julio and Dan have 19 dollars.   NOTE: As…

Q: 0.02x, - 0.05x,= -0.19 0.03x, +0.04x,=0.52 Select one: a. X,= 0 X,=7 b. x, = 8 X,=7 C. X, = 8 X,=0…

A: Given:     To determine: value of x1 and x2

Q: Find a, b, c, d for P(x) : = ax3 + bx? + cx + d if P(1) = 11, b = 3d, a = 2c and P(x) = Q(x) + x+1'

A: Polynomial and remainder

Q: Given: x = 2 , X2 + 5 , X3 = -8 ,x,+6 %3D %3D y, - 3, Y2 -3, y3 = -2 Ys -2 2. X; Yi 3. !x%

A: The given expression can be re-written as ∑i=14xi-1·3·xiyi=3·∑i=14xi-1·xiyi, and…

Q: Given P(- 2, 0) and Q(2, 5), find PQ. а. (0, 2.5) b. (0, 5) c. (-4, – 5) d. (4, 5)

A: Given- P-2,0 and Q2,5. To find- The value of PQ→. Concept Used- PQ→=OQ→-OP→

Q: -- -2 If A = y -3 determine the values of æ and y for which A? = A. x = y =

A: The given problem is to find the values of x,y for which the given matrix satisfies the condition…

Q: Indiana's favourite set is A= {r² +1: z€ Z, –35a51}, and Marcus's favourite set is just B=…

A: Consider: A=x2+1: x∈Z, -3≤x≤1 and B=3, 4, 5, 6, 7, 8. Substiute x=-3, -2, -1 , 0 ,1 into x2+1 and…

Q: If a = (2, -1, 3) and b = (2, 2, 1), find the following. a x b = b x a =

A:

Q: n(U) = 100, n(X) = 50,  n(Y) = 40   and n(XUY)' = 10 What is n(X ∩ Y)

A:

Q: Given that A = 4ê + 3ŷ + 2, B = –2â + 42, and C = ŷ + 42, find: (Ã × B) × Č O a. -50âx-48ây+40âz Ob.…

A: Given A→=4x^+3y^+z^, B→=-2x^+4z^ and C→=y^+4z^ =i(a2b3-a3b2)+j(a3b1-a1b3)+k(a1b2-a2b1)

Q: -(÷) If A = 2 -1 -1 B = find (a) A +B, (b) A - B, 2 -4 -2 -1 (c) 2A - 3C, (d) 3A + 2B - 4C, (e) AB,…

A: Since you have posted multiple questions, as per our policy we will answer first question (first…

Q: Find A -B x C, (Ax В): (В х) if A%3 2а, — х, а, — 2а, В %3D 4а, + x,а, + 2а, and с 3 -âx + ây – x3â,…

A: see the attached image below

Q: If u = (0, - V3, - 3) then |lu|| Select one: а. 3+/3 b. 3 с. О C. 0 d. V3

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Q: X,-X,=0 3x,-2x,=-1 Select one: а.х, 31, х,-0 b. x, =0,x,=1 C. X, =0 x,=0 • d. x,=x,=-1

A:

Q: If e =-6 and y = -2, then (r-y)(-r+y)= 19 2/1

A:

Q: = (-2, 11), s=(-1, -2), and r= (2, 10), find 3r-(w+s). 3r-(w+s) =(], D

A:

Q: 3. Find x, y, and z. 10 5. y x=25, y= -55 b. x= 5, y = 52, z = 5/7 a. x = 3, y = 4, z = 153 с. =…

A:

Q: If 7x + 6y = 5xy and 10x – 4y = 4xy, then value of x and y is a) 3, 2 b) 2, 3 c) 4, 2 d) 5, 6

A:

Q: Let a = (– 2, 2, 3) and b = (3, 1, – 2). Find å x b. V

A: Given, a→=-2, 2, 3b→=3, 1, -2

Q: xz, + 2yzy = 0, for r > 0, y > 0 yzz – 4xz, = 2ry, for all (r, y) #2, – ryzy = z, for all (r, y)

A: (A) Given the PDE xzx+2yzy=0 We will use the characteristic method to find the solution.

Q: Given v = and u = , find 6v - 6u

A: The vectors are given by v = 8,-2 u = 9,-2 To evaluate : The value of 6v-6u

Q: - - Given points P₁(-1,3, — 2),P₂(4,¹, — 7), and P²(5,2,6), find P P₂XP P3 13 OA.-21, -70,-7) O B.…

A:

Q: Given that v=[0,2] and w = [5,-8], what is w-v? a. 5,6 b.-5,6 c.5,-6 d.-5,-6

A:

Q: Let a,b,c,d > 0, find the values of a,b,c,d where, 2*c+d - 2*+b+c - 32(2**b) - 33(2ª) + 3²(2c*d) +…

A: This is very simple question with a trick . To understand this question please see the solution. May…

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.