4. Given: M is the midpoint of AB; 21 = L 2; L 3 = L4 Prove: AC = BD C D 4 2 A M 3.

Q: Evaluate if x=4,8,3,-2 ∑x ∑x+1 ∑(x+1) 3∑x - 4

A: Given that  if x=4,8,3,-2

Q: Use deductive reasoning to prove that if you pick any number n, subtract 18 from the number,…

A: The question is based on simple deductive reasoning

Q: Find 1!, 2!, 4!, and 6!.

A: Factorial:

Q: 20 - 9 - 2 - Is - 6 | in the column space of -8 - 6 0 4 ? 5 3 7 –3 -6

A: To check given vector lie in column space of given matrix, we need to find row reduced echelon form…

Q: A=[[3,2],[7,5]],B=[[2,6],[3,9]],AB=[[a,b],[c,d]] Determine the values of the entries in the product…

A:

Q: If a and b are real numbers, the commutative property of addition states that a + b =

A: If a and b are real numbers, the commutative property of addition states that a+b =    Suppose two…

Q: (6,7) m || 2/3 in standard form.

A:

Q: 1. Write (+) with base 2.

A: 1. Write 145  with base 2 .

Q: Simply by expressing in the form of a+ib. And 3/√6-√-12.

A: This is complex number. 'i' is the complex number such that i²=-1. The complex conjugate of 'a+ib'…

Q: A number is divisible by 2 if

A: A number is divisible by 2 if

Q: Simplify. Express using exponents. Zw 5w O a 7w 10w 10w

A: Simplifying the above expression.

Q: Every row operation is reversible. O True O False

A: Every row operation is reversible.

Q: Simplify. Final answers should be written in standard form.   (2a2b-5b3+4a4b2)-(7b3+8a4b2-7a2b)

A: The given expression is  (2a2b-5b3+4a4b2)-(7b3+8a4b2-7a2b)

Q: -1 4 -1 3 B = 2 4 [2 0 -2 -1 3

A:

Q: write the arthematic sequance 2 4 6 8 10... in its standard form.

A:

Q: EXE N)(2x +3=4x+2). %3D O True O False

A: We now check whether the following is true or false. (∃ x ∈ N)(2x+3=4x+2) i.e. there exists x ∈ N…

Q: Add (10-5i)+(2+3i)

A: We can find the addition as below

Q: a S 29 O 2 уч ua * 2 Lady

A: Given data

Q: (n+3)!

A: (n+3)!/n! =(n+3)(n+2)!/n!

Q: Multiply. (9x³ + 4) (6x² + 7x + 5) (9x3 = O +4) (6x² + 7x +5) (Simplify your answer.)

A:

Q: +. A 2. B. E) None

A:

Q: If a, b, and c are real numbers, the associative property of multiplication states that = a(bc).

A: Given a, b, c are real numbers.

Q: Geometry Question

A:

Q: D) lim f(x)=| 23 E) lim → 8 f(x) = F) lim f(x)= z 2

A: D) we know that, limx→3f(x)=limx→3+f(x)=limx→3-f(x)But limx→3+f(x)=2limx→3-f(x)=-1Since…

Q: Compare and contrast direct proof and indirect proof.

A:

Q: 20-8*4÷3+2

A: To evaluate: 20-8×4÷3+2 Solution: We will BODMAS rule to simplify the expression.…

Q: 5. Simplify. Write the answer in standard form." (3-2x +2x)- (4x – 5+3x)

A: To simplify 3-2x+2x2-4x-5+3x2

Q: Find the result if A1 is 2

A: Let us understand how does the command =IF(A1 > 9, 10*A1, 12*A1)  work. If A1>9 then it will…

Q: Divide. 3x? - 3х- 18 х? + 2х- 15 4x - 8x + 16 х +x-20 3x? - 3х- 18 х? + 2х- 15 (Simplify your…

A:

Q: {{m}} с {{m}, {m}} O True O False

A: (.)Proper Subset:  A set 'B' is said to be a proper subset of 'A' if all the elements of 'B' are the…

Q: If a and b are positive numbers, then Va + b² # a + b.

A: Solution: Consider the given numbers a and b are positive numbers and we need to prove that a2 + b2…

Q: ormulate 2 examples of compound statements under conjunction

A: let p : John likes ice- cream q: Mary likes Gulab jamun The two statements are as above,  The…

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.