Line AB is parallel to line CD and line CD is parallel to line EF. Which of the following is true? Select all that apply.   Select one or more: a.None of the above b.AB parallel to EF c.AB and CD are parallel to EF d.AB not parallel to EF

Q: state explicity which ordered pairs are in A x B and which are in R?

A: The ordered pairs (x,y) such that x∈A, y∈B are in AxB. i.e.  AxB={(x,y) | x∈A, y∈B}

Q: STUVW N GHIJF. Find TU. H V 20 3 I 2 U G 30 20 F TU = 2.

A: We have to find TU

Q: Given AB with A and B , find the coordinates of C if C divides AB one fifth of the way from A to…

A: For a line AB such that A=x1,y1,z1and B=x2,y2,z2 is divided in ratio m:n then point of division…

Q: Let ā = (2, 3, – 2) and b = (4, 2, – 2). - Find a · 6.

A: The dot product of two vectors is calculated as follows: a→·b→=xi^+yj^+zk^·ai^+bj^+ck^=ax+by+cz

Q: GIven u = and v = determine -4u - v

A:

Q: alm +3)+ m= Bm 3m-

A:

Q: Which of the following equals 3x2 + 2x + C? (x + x2) dx (23 + 2) dx O Option 1 O Option 2 6x+2) dx…

A:

Q: Let A= {2, 4, 6}, B={2, 6}, C={4, 6} and D={4, 6, 8}.

A:

Q: Given = (2,6), u = (-1,4), and u = (3,-7), find each of the following. - - a. u + v b. w-v c. w.u

A: Since you have asked multiple part question, we will solve the first 3 part of thequestion for you…

Q: In soccer, serious fouls result in a penalty kick with one kicker and one defending goalkeeper. The…

A: We know that,  Chi-square test Statistic is given by, X2= summation (Oi-Ei)2/Ei Where Oi's are…

Q: Do the three lines 3x₁ - 4x2 = 15, 6x₁ + 13x₂ = -96, and - 3x₁ - 17x2 = 111 have a common point of…

A:

Q: Let ā = (– 2, – 1, 3) and b = (- 5, 1, – 4). Find ā · b.

A: Given that , a→=-2 ,-1 ,3 and b→=-5 ,1 ,-4 a→·b→=?

Q: Name the property illustrated by each step. a. (x + y) + z = x + (y + z) b. (y + z) + x = (z + y) +…

A: The question is about the property of the addition in which we have to answer the property which is…

Q: Let á = (–1, 0, 1), b = (0, 3, − 1) and ₹ = (1, 2, —2). a. Find à x b. b. Find (a + b) x č. c. Find…

A: NOTE: Refresh your page if you can't see any equations. . here we have . find the determinant

Q: Which two lines do not pass through B nor F? 3. B. O EDC DBF O CBE O ACG

A:

Q: Find x if mZ1 2x+ 10 and m22 3x-6. O a. 4 Ob. 24 Oc. 42 Od. 16

A:

Q: 4. Using the following diagrams, find the value indicated: b. с. a. 12 14 2x+2 10 2x-17 C. V. 2x+5…

A:

Q: Which of these pairs of

A: we have to identify which of the given figure are similar.

Q: 4x2 + 4xy + y2

A: Given query is to simplify the expression.

Q: Also give the interpretation.

A:

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: If AB = i+ 8j – 4k and B is the point (5, 7, 1), find A. The point A is

A:

Q: Which of the following is NOT true? a.|0|=0 b.|-18|=18 c.|9|=-9 d.|26|=26

A:

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

A:

Q: a. 4(3x- y) and 12x – 4y b. 32+ 16y and 8(4 + 2y) C. 3(x + 2y) and 3x + 2y

A: We have to find

Q: Show that AC = BC.

A: The given matrices are To show that AC=BC Find the product of matrix A and matrix C

Q: Evaluate the value of v-10 x V-7. A. imaginary B. -V70 C. V70 D. undefined

A:

Q: Calculate So y dydr. A. 20 B. C. D. 35

A: We have to evaluate the double integration .

Q: dx Evaluate V4x – x2 - A. 2 3 C. 4 D. B.

A:

Q: Let v = ⟨−1,3⟩. Draw v, −2v, and 3v in standard position.

A:

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.