2 and B= 1 0. then Show that if A = 6. -1 2 (A + B)(A + B) # A² + 2AB + B?

Q: Let | a b. 2. =5, then 2a 26 2c 4g 4h 4i -e

A:

Q: Woriten as deciomal, a) 2(6)**: 3' b) lag (X+2) =2-leg (1K-) a) logs (4x-6)-3 = legs (2x3) x+2 2X -3

A:

Q: 1 = c, then in terms of a and c find x and y If -y a and 2x+ 112

A: *to find:- value of x & y.

Q: giv sys px- x,+ 3x3=1 X1+ 2x,– x3 = 2 3x, + 2x, + gx; = 3 Where 'p = 8'and 'q = 0' respectively.…

A: LU decomposition : If we have a square matrix A, then an upper triangular matrix U can be obtained…

Q: If Eº, ax – -2 and E2, bx – 25 Find the value of

A: We first expand the given sum

Q: HW/ If A= 4 3 and B= L2 s 8 6 2x4 Find A.B x2 Prove A-B B.

A: According to guidelines we should only first question if multi question  are posted

Q: if (a+b+2c+3d)(a-b-2c+3d)=(a-b+2c-3d)(a+b-2c-3d) then 2bc is equal to??

A:

Q: Given that v(x) = 2 x² – 5x +2 which of the following is equivalent to v(0.5) + v(1)? A 2 B 19 -1

A:

Q: Q2 :If A = 3i + j- 2k B = -i + 3j + 4k Find, 1- A +B 2- 3A - 2B 3- A x B 4- 0(A,B)

A:

Q: Which of the following is equal to (xyz-zyx)÷99 ?

A: Commutative Law of Multiplication : a×b = b×a

Q: Solve for w. 7 3 +2 = - 2w 12 w+6 If there is more than one solution, separate them with commas. If…

A: Given equation is -72w+12+2=3w+6

Q: 2. Use the figure to find the values of x, y, and z that makes ADEF ~ AHGF. 25 16 X-5 F Зу H. 14…

A: We need to use similar triangles formulaes to solve this question.

Q: Q1/ (1) If a = 2(B + y), then find the value of A that satisfies 2x3 - 6x? + 3x + A = 0 ()Fin

A: According to our guidelines we can answer only three subparts, or first question and rest can be…

Q: 7. If 5x? + 2x?y + y² = 8, then at the point (1,1) is А. В. 2 7 D. 7 B. C.

A:

Q: For each value of W, determine whether it is a solution to - 3 = 4w + 5. Is it a solution? ? Yes No…

A: Simply putting the value in the equation gives us the answer.

Q: The value of x such that 8x+4, 6x - 2, 2x +7 will be consecutive terms in an AP is A. 2 В. 15 С.…

A: Given that  8x+4, 6x-2, 2x+7 will be consecutive terms of an AP. To find The value of x.

Q: (c) If f (2) = (2³ + 8) e8:, and f' (8i) = reiº, then what is the value of r2 ?

A:

Q: Given that v(x) =2x2 – 5x+2 which of the following is equivalent to v

A: Given :V(x)=2x2-5x+2

Q: Use Cayley-Hamilton to find B4 and B-1 . Where [1 B = 0 1' 1 - 3 -1

A: It is given that B=12-101-13-11 The characteristic equation is given by:…

Q: a'+3ab? If 3a’b+b³ 3x°y+y' _ x³+3xy² X_ y Prove that a b

A:

Q: Let p, q, and r be true, false and false, respectively. Which of the following is true? Show your…

A: The truth table of p∧q can be represented as follows. p q p∧q T T T T F F F T F F F F…

Q: If x? – 2x – 3 = (x+ A)² – B² , then the value of Bis %3|

A: Given that   x2-2x-3=(x+A)2-B2,  we have to find the value of B. To solve the problem we first…

Q: If A x B=-2i-6j+10k , then Bx A= 2i+6j+10k True O False

A: If A and B are two vectors, then their cross product is denoted as A×B . The product, A×B is…

Q: If a x b = 2a - 3b + ab, then 3 x 5 + 5 x 3 is equal to?

A: Explanation of the answer is as follows

Q: What value of x would prove a||b? a. x = 6.9 12x+3 b. x = 6 C. x = 12 d. x = 4.2 21x-51,

A: The asked question belongs to the topic of lines and angles where two parallel lines are intersected…

Q: Suppose z-2z +x=5, What is the value of y ? 3 5 O3' 3 5 3i

A: Option 3,  -5i/3.

Q: If AC 3x-11 and BD 2x+ 10, find the values of X and the length of BD. B E. D C 2+10, find the values…

A: Given figure, Given that : AC=3x-11 and BD=2x+10 we have to find the value of x and length of BD.

Q: Show if z = 2 + 4i satisfies z? – 4z + 20 = 0

A: To show that a value or number satisfies an equation, we substitute the value in the equation and…

Q: For each value of w, determine whether it is a solution to ws7. Is it a solution? Yes No 6. 7 12 2

A:

Q: (D+ D4-+D-1Iー8D~12)。 こ6

A: To find out the solution of the DE

Q: a) Let AB = C, then find x, y and z values if -3 4 x 3 2 A = 4 -16 -4 2 and C= 2 y) B= z x 3 16 -9…

A:

Q: Q3/ If Ā = -3i + 2j + 5k, B = i + 2j - k and C = -i-j-2k %3D find (AXB). C

A: Let's see the concept of dot and cross product. Say xi+yj+zk and ai+bj+ck be two vectors.

Q: Find the quantity if v = 4i – 7j and w = - 3i + 2j. 3v + 4w ..... 3v + 4w = (Simplifi

A:

Q: Q1=B) suppose A=() C) € CCA) then a. as 2/b, azo/c. azl /d a# 2

A: first reduce into row echlon form

Q: 2) Find the length of R in terms of the other variables. R = R

A: We will use Pythagoras theorem to find the length of ae in terms of N and D.

Q: 7. Given AXPS = ADNF, find the values of x and y. P F 4y - 3 54 51 D 17r + 3 N' 57

A: Recall: Two triangles are congruent then their corresponding sides are equal in length

Q: Given P(x) = 2x – 3x – 9a? + 5x + 2, %3D - P(x)→ P(x) → if x -00, if x → ∞. If your answer is -oo,…

A:

Q: For what value of x is it true that 3z-10-47 e

A: To find the value of x

Q: if z1 = 2+ j3 , 22 = -3+ j4 and z3 = 5 – j | what is the simplified form of 21

A: The rectangular form of a complex number is given by z=a+jb, where a, b are two real numbers and…

Q: If a, b and c are real and a+b +2 = 2(a-b-c)-3, then value of 2a - 3b+4c is, a. 0 h -I e. 2 d. 1

A: An equation can either be an identity, a conditional equation or a contradiction depending upon the…

Q: The value of x such that 8x+4, 6x-2, 2x +7 will be consecutive terms in an AP is

A: If a, b, c are consecutive terms in an AP then 2b= a + c

Q: A 33 are 4x4 Martrices, det(A)=-3 det(B) =5 a) de t(A = ニ detA b) def (AB) (-3)(5) = -15 Ò def GzB)=…

A:

Q: Suppose that Eaz = -5 and b = 6. Find the values of %3D k= 3a c. (a + b) a. b. k=1 d. (az - bi) k=1…

A: We have given: ∑k=1nak=-5 and ∑k=1nbk=6. (a). To find ∑3k=1nak. Property of sigma is:…

Q: Suppose that A = 2i + j, B =i- 4j + k, and Ĉ = j+k. What is Á· (B x Č)? A) A. -2 в) В. -2 k с) С.…

A:

Q: Find (axb) x c if a=i-2j-3k, b=2i +j-k, Q2. c=i+3j-2k.

A:

Q: Determine coefficients a and b such that p(x) = ax² + bx + 7 satisfies p(4) = -1 and p(4) = -6. a =…

A:

Q: 7. Which of the following equations is true? A. 2-3 = -8 В. 2-3 12x*y7z° -3x3y9z-5 %3D 8 C. 2-3 = -…

A: From the rule of exponent, am=a×a×a...a⏟m times a a-m=1a×a×a×....×a⏟ m times aaman=am+naman=am-n

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.