On a real number line the origin is assigned the number ________ .

Q: State all real-number values of x which will make this statement true:    x  + 4 > 5 – (1 – x)

A: The given inequality is  x + 4 > 5 – (1 – x)

Q: On a number​ line, suppose the coordinate of A is​ 0, and AR=23. What are the possible coordinates…

A: Coordinates of A are 0,0 and R be 23,0

Q: On a number line, suppose point E has a coordinate of 1, and EG =12. What are the possible…

A: The coordinate of E is 1. And, EG=12

Q: Give the formula for finding the distance between two real numbers a and b. Use the formula to find…

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Q: Classify the real number shown below. -V81 Choose all that apply. O irrational O rational integer…

A:

Q: A property of real numbers is given. State the property and give an example in which the property is…

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Q: Question 1 If a and b are real numbers and a+b=2, prove that ab <1 and a² +b² 22.

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Q: Prove that if a, b e R, then (a) -(a+b) = (-a) + (-b), (b) (-a)·(-b) = a · b,

A: (a) Proof of the fact -(a+b)=(-a)+(-b): Since -1 is additive inverse of 1, hence  −1+1=0   (zero in…

Q: a. Find all pairs of integers such that one is a multiple of 7 and the other is a multiple of 11 and…

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Q: Which statement is possible for some real number z ?       cosec pi =z

A: Given statement is cosec π=z for some real number z.

Q: If a, b e R, prove the following. (a) If a +b = 0, then b= -a, (b) —(-а) — а,

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Q: 1 Linda drives at a constant speed of 56.5 mph. How far should she expect to drive in hr? Linda…

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Q: Determine if the statement is possible for some real number z.     sec pi/2 =z

A: We are to determine whether the statement is possible for some real number z. secπ2=z

Q: all real numbers a

A: The function is given as fx=9-xx-6 . The given function is rational function and to determine the…

Q: what number set is the cube root of 1? (natural, whole, integer, rational, irrational, real, or…

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Q: Find the value of a, b, c, and d. Enter all answers in exact, reduced form. No decimals are allowed.…

A: Please refer to the image below

Q: Which set of numbers does not contain the value below? (iV3)² Complex numbers Pure imaginary numbers…

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Q: (c) For real numbers x, if (x +2)(x – 3) = 2, then x + 2 = 2 and x - 3 = 2.

A:

Q: Classify each real number. List all the subsets in which the number belongs. 1.566 64 V20 77 V=27 4…

A: Classifying real numbers.

Q: The terminal point P is detremined by a real number t, fimd csct. 22.

A: Given the point: Hence we get:

Q: Find the real square roots of the number. 4 Select the correct choice below and, if necessary, fill…

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Q: A fisherman can row upstream at 4 mph and downstream at 6 mph. He started rowing upstream until he…

A: Let's find the distance the fisherman rowed in miles.

Q: Find the exact value of the real number y if it exists. Do not use a calculator. y = arctan 1 Select…

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Q: headquarters and flies 70 km at 30 degrees south of west. There it drops off some relief supplies,…

A: In this question we will use basic of algebra. First we will draw the given condition on paper then…

Q: Find non-zero real number values of a, b, c, and d such that the sum (a + bi) + (c + di) is... -a…

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Q: 1. For every real number a and b, a binary operation & is defined as: a & b 2a - 3b. a. What is the…

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

Q: Find the real square roots of the number. Select the correct choice below and, If necessary fl in…

A: x2=-9x=±-9x=±3i

Q: 0. If k is a real number, then the real part of 2+i(ki – 3) is А. 2- k. В. -k. С. -1. D. k-3.

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Q: On a number line, suppose point E has a coordinate of - 4, and EG = 11. What are the possible…

A: We have to check

Q: Classify the real number shown below. Choose all that apply. irrational rational O integer whole U…

A: answer = irrational number   explanation is given in below step

Q: The ages of Alex, Albert, and Aries are consecutive odd integers with Alex being the oldest and…

A: The solution is given below

Q: The sum of three consecutive odd integers is 135. Find the integers. The integers are (Use a comma…

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Q: Classify the real number shown below. Choose all that apply. O irrational rational D integer whole…

A: Rational or irrational numbers

Q: Consider the set of real numbers: { x | x 4 }. Graph the set of numbers on the real number line.…

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Q: Question 4. Describe the real numbers r for which r < x² – 12 < 3x.

A: Given:         x&lt;x2−12&lt;3x

Q: Classify each real number. List all the subsets in which the number belongs. 1.566 64 V20 7T -27 4…

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Q: Find the real square roots of the number. 16 Select the correct choice below and, if necessary, fill…

A: We have to find the real square root of the number  16

Q: A pilot wants to fly on a bearing of 71.8°. By flying due​ east, she finds that a 59.3​-mph ​wind,…

A: To find air speed and ground speed of the plane

Q: Determine whether the below given statement is true or false. If the statement is false, make the…

A: Consider the given real number, -8 the cube root of a real number has always a unique cube root. but…

Q: CUITURC Autompungicas Determine if the following expression can be written in the form kæº. Select…

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Q: An approximation of an exact number is called a

A: Introduction: An exact number is a number that is unique with no further simplification possible,…

Q: Question 1 On the number line, two points A(-2) and B(15) are given. Find the coordinate of point M…

A: Given that A and B are two points on the number line with coordinates -2 and 15 respectively. We…

Q: 1. [-2,4]^[4,60)

A:

Q: A train leaves a station and travels north at a speed of 50 km/h. Five hours later, a second train…

A: A detailed solution is given below

Q: Find the indicated root. Assume that all variables represent nonnegative real numbers. V81x16 Select…

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Q: Expressing each of these numbers in the form. A+bi ie5πi/3

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Q: Example 4: For each pair of real numbers, place one of the symbols in the blank. a) 2 b) -5 1 c)

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three…

Q: Find an expression of the form p + qi for the multi- a + bi plicative inverse of where a, b, c, and…

A: Consider the given expression:

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.