,י.,יV If z,.z, EC then Z,+Z,=Z,+Z20 z,+Z,=00 Z Z,=0-Z,=0 or z =00

Q: ove that if AB = 1, then B = A- 2, 1 -1 21 and (b) 3 1 1 1 -2 1 2.

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

Q: of c, for whi + 8 in [2, 4]

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Q: If u= (2, 1) and v= (4, –16), find 4u+ v. 4 Select the correct answer below: O (9,0) O (6. –15) О…

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Q: if a | b and a | c, then a | (mb + nc). | C,

A: If a|b then b=ka for some integer k If a|c then c=ga for some integer g

Q: If APIG ACOW, CW ?

A: Question is written as    If ∆PIG is congruent to ∆COW Then CW is congruent to?

Q: There are three places P, Q and R such that 3 roads connect P and Q and 4 roads connects Q and R. In…

A: Hi there! Thanks for posting the question. Since there are two different questions, we have solved…

Q: If A={0, 11} and B={00, 01}, then AB=... 1. О {000, 0011, 010, 0111} 2. О {00, 011, 110, 1111} 3. О…

A:

Q: If m<1 = 6(3x+1)-2, m<2= 3(x+2)+9, and m<ABC= 5(3x+5)+6, find x and m<ABC.

A: Given,           ∠1=63x+1-2           ∠2=3x+2+9            ∠ABC=53x+5+6

Q: tells what to do wi In Out 15 10 50 1 30 20 mat in Out Out In 23 19 15 11 3

A: Analise the input and output 1) 5 times of 3 is 15 5 times of 10 is 50 5 times of 1 is 5 5 times of…

Q: If "C, = "C,, then n is equal to 4. If "P, = 840, "C, = 35, then r = 5. "C, + "C, - "C, - "C, = 6.

A: Permutations are for lists (order matters) and combinations are for groups (order doesn’t matter).…

Q: Find S, if aj = 20, d = -10, and n = 25.

A: first term a1 = 10 common difference d = -10 total number of terms n = 25

Q: Show that if a < c< b, then fave (a, b) = () fave l(a, c) + C - a | favg [c, b]

A: Solution...

Q: 1. If = (1,0,-3) and i= (6,-3, -4) compute ixw.

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Q: If Ac B, then P(A) < P(B).

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Q: * If Iz| = Re(z), then z is

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Q: For each of the following, state whe 1. 7, 10, 13,.. 3. 6, 12, 24,..

A: since we answer only first three sub-parts so we will answer first three. Please resubmit the…

Q: If X = 17.34, s = 5.45, and M = 24.88, what is z?

A: Given: X = 17.34 s = 5.45 M = 24.88

Q: if x € {1, 2, 3, 4, 5, 6} 4. P(X=x)={91 [0, otherwise. if x€ {1, 2, 3, .., 8} 5. P(X = x)= 204 [0,…

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Q: Re(z,€,) = Re(*,)R (z,) O True O False

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Q: the Pasition at if when X=2, O= 25

A:

Q: If det(AB) = 0, is det(A) = 0 or det(B ) = 0? Give reasons for your answer.

A: Given: det(AB)=0

Q: Show that (A+CBC")- = A- A'C(B'+C"A 'C) 'C" A',

A: Given: A and B are square matrices, C is a matrix of appropriate dimension. Note that…

Q: In (R., 7rom), if A = n EN}. and B = (2, 3) then AUB=

A: We know that cl(AUB)=cl(A) U cl(B) Where cl(A) means closure of A

Q: If P={a,d,e} , and R={ t,b,c} what is PUR

A:

Q: If P(A) = .24 and P(B) = .52 and A and B are disjoint, what is ?(?∩?)P(A∩B)  ?

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Q: 7. If mzJAY= 70, find mzJSY 8. If mzAYS = 140, find mLAJS %3D 9. If mzYNO = 50, find mZJSN

A: We can solve the answers as below as per the properties of isosceles trapezium.

Q: Given that v = ⟨0, –2⟩ and w = ⟨5, –8⟩, what is w – v?

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Q: Suppose that S = { x | x ∈ N , and 3 ≤ x ≤ 260 }  What is | S |

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Q: Given u = (10, 9) and v = (5, - 2), find v-u. O (-10, – 3) O (-5, - 2) O (-15, – 8) O (-5, – 11) O…

A: Givenu=(10, 9)v= (5 ,-2)

Q: If In(a) = 2, In(b) = 3, and In(c) = 5, evaluate the following: In(a³b') (c) In(bc) - 3 1 а (d) (In…

A:

Q: Suppose L(x) = "x is a llama" and E(x) = "x is an emperor." Do the following to statements mean the…

A: Consider the given information:

Q: If c > 0, Ju| = c is equivalent to u = or u =

A: Given:              u=c,    c&gt;0 use modulus property:           x=x if x&gt;0x=-x if x&lt;0

Q: Show that if AB={0}, then P(A)≤P(B).

A: Given that

Q: 2 is to 5 as 16 is to ?

A:

Q: Today is not Monday if and only if tomorrow is Wednesday. (M, W) * O W M O WM O ~M W ~(M+W)

A: Given that: 1. Today is not monday if and only if tomorrow is wednesday.2. The class will be happy…

Q: If A NB + Ø , B nC +Ø ,A nC Ø , JANB| =x + 1 , |B n C| = x, |C – B| = 4 , |A – B| = 3,|B – (AUC) =…

A: Here we can use following formula from set theory to find elements in A, B and C that mean |A|, |B|…

Q: If llull = 2, llvll = √3, and u · v = 1, find llu + vll

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Q: If det(A)=0, then:

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Q: а) (A u B) = AnB b) (ANB) = AU B

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Q: If a ib and b i y, then b y

A: Given, Lines a, b, x, y  and  z a∥b b⊥y The, we have to find the correct option.

Q: х (и, и) — (и —u?, и? + 1, u?)

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

Q: If nana"--) 2anx" = 0, then az = n=1 n=0 (A) ao (B) ao (C) ao (D) ao (E) ao

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Q: Suppose P(A) = 5 and P(B) = 3 and A and B are independent. What is P(A and B)?

A: It is given that P(A)=0.5 and P(B)=0.3.

Q: If l either attend the class or do my research work then I will see Rome and Ellen. If see Rome,…

A: Please see next step for the detailed answer

Q: 1) X, Y,2 O, elsewheve

A: Given,         f(x, y, z)=kxy2z0&lt;x or y&lt;1, 0&lt;z&lt;20elsewhere

Q: If n ≥ 3, then (Sn, 0) is

A:

Q: Suppose v = (2,1, 2). Then (3, 1.5, 3) is ? v to v (-5, 1, –3) is ? v to v (-4, –2, –4) is ? v to v…

A:

Q: In (R, Tµ), if A = (2,4) N (Q – Z) then A = O a. [2,4] N (Q Z) | O b. [2,4] О с. [2,4] — (3} O d. A…

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Q: 2) If a + b + c = 0, show that a × b = b × c = cxā

A: Solve the following

Q: Suppose v= (3, –5, 1). Then (-2,2, 16) is (4.5, –7.5, 1.5) is (1,1, – 1) is (2, 1,3) is ? to v ? to…

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Family of Curves

A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These families appear commonly in the solution of differential equations. When a constant of integration is added, it is normally modified algebraically until it no longer replicates a plain linear transformation. The order of a differential equation depends on how many uncertain variables appear in the corresponding curve. The order of the differential equation acquired is two if two unknown variables exist in an equation belonging to this family.

XZ Plane

In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are real numbers and a is the horizontal coordinate and b is the vertical coordinate. This type of plane is called two-dimensional and it contains two perpendicular axes, the horizontal axis, and the vertical axis.  

Euclidean Geometry

Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) geometry was introduced by the Greek mathematician Euclid, and that is why it is called Euclidean geometry. Euclid explained this in his book named 'elements'. Euclid's method in Euclidean geometry involves handling a small group of innately captivate axioms and incorporating many of these other propositions. The elements written by Euclid are the fundamentals for the study of geometry from a modern mathematical perspective. Elements comprise Euclidean theories, postulates, axioms, construction, and mathematical proofs of propositions.

Lines and Angles

In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.