Every positive number has a positive square root.   a. All positive numbers Blank 1. b. For all positive number e, there is a Blank 2 for e. c. For all positive numbers e, there is a positive number r such that Blank 3.

Q: Let a and b be real numbers. Prove that | a b | = | a | | b | , b ≠ 0

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Q: Construct viable arguments. Use the dia shown. A

A: We are asked to define angle bisector, and angle addition postulate.

Q: Let ao, a1,.. .an be real numbers. If ao + ajr+...+a,a" = (x+1) (x+2) ... (x + 672) determine a2+…

A: Suppose we have given a polynomial   then degree of P(x) is sum of degree of all . That is ; .

Q: whether the is excact then dolbe 3. 23 3)dr

A: Determine whether the given equation is exact , it it is exact then solve…

Q: Find HJ. 26° 6. Write your answer as an integer or as a HJ: %3D Submit

A: We use trigonometry ratios to find HJ. Perpendicular/hypotenuse= sin(x) X is angle.

Q: Find VW. V 61° U W 8. Write your answer as an integer or as a decimal rou. VW = %3D Submit

A: we have to find UV from the given figure

Q: a²u, a?u at2 0 =

A: Here, we can solve by multiple methods. We have the following differential equation.…

Q: Translate the following statement into logical symbols. Let: p: 12 is a real number. q: 12 is…

A: Let: p: 12 is a real number. q: 12 is not an even number. r: 12 is not a composite…

Q: Determine whether each statement is true or false. For each true statement, give a direct proof as…

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Q: Insert either , or = in the area between two expressions to make a true statement. 7. |-3| 11 11

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Q: Determine whether the statement is true or false. If it is true, explainwhy. If it is false, explain…

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Q: omeone help me with H and I?

A: h. Given:

Q: Let A = {x € R : x < a} and B={x €R: x < b}, where a and b are real numbers. Show that sup(A+ B) =…

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Q: (b) Show that įn is real, even though i or 9i is not.

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Q: Determine whether the statement is always, sometimes, or never true for rectangle ABCD. Statement:…

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Q: If R is the set of all real numbers, what do the cartesian products R × Rand R × R × R represent?

A: Cartesian product R × R represents all the coordinates in R2  For example (1,2) , (5,6) coordinates…

Q: Prove that the following is a valid argument: All real numbers have nonnegative squares. The number…

A: Let  p : real number q : nonnegative squares

Q: Let a be a positive real number. Evaluate a Va² – x²dx O a? O ja

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Q: 7. Consider the statement “Every square is a rectangle.” Isthis statement true? Write down the…

A: Given: Given statement is, “Every square is a rectangle.”

Q: Which additional statement would be sufficient to prove that AABC ~ ADEF ? 32 21 24 D' 36 27

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Q: Complete the congruent statement. A PNM = A. P. M Your answer: Ο ΔΡΝΟ ANOP ANPO A ONP Clear answer

A: Given

Q: Give the Cradinal Number: X:X is a prime number which is divisor of 60 a. 12 b. 8 c. 4 d. 3

A: We have to find Cardinal number of the  set S .

Q: Determine whether these statements are true or false. a) ∅ ∈ {∅} b) ∅ ∈ {∅, {∅}} c) {∅} ∈ {∅} d) {∅}…

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Q: Exercise 6 If az, a2, .,a, and by, b2, ..., b, are two sets of positive numbers arranged in…

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Q: Show that if a, b are real numbers then: |a| + |b| > |a + b|

A: If a,b are real numbers, then  PT a+b≥a+b Proof: Let a,b∈ℝ Let a and b denote the absolute value of…

Q: Use a proof by contraposition to show that if x + y ≥2, where x and y are real numbers, then x ≥1 or…

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Q: a. If b is any nonzero real number, prove that |1/b| = 1/| b | . b. Prove that |a /b | = |a|/| b|…

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Q: If an answer does not exist, enter DNE. If all real numbers are solu View Previou

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Q: Mr. Farison gave his class the three mathematical rules shown below to either prove or disprove.…

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Q: ∠S and ∠Y congruent or supplementary

A: Given,           To find ∠S and ∠Y congruent or supplementary.

Q: Prove the statement below.

A: Given, A and B be any sets. To prove that (A∩B)⊆(A∪B).

Q: Let a be a positive real number. Evaluate So Va? – x²dx.

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Q: Prove the given statement: The sum of an integer and its square is even.

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Q: Mr. Farison gave his class the three mathematical rules shown below to either prove or disprove.…

A: Topic:- algebra

Q: Let U = {x: x is an integer and 2 7}, B = {x: x² > 20}. ii. A = {x: x2 - 3x + 2 = 0}, B = {x:x + 7…

A: We have to determine which condition applies on set A and B.

Q: Show directly that for p a prime integer, p can be written as p=(a)^2 - d(b)^2 then d is a perfect…

A: From the given statement, p be the prime factor and p can be written as p = a2 – db2.To show: d is a…

Q: Prove: AD CD.

A: Follow the procedure given below.

Q: Prove the given statement: The sum of the squares of two odd integers cannot be a perfect square.

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Q: Fill in the circles to complete each statement. 1 10 100 100 10 The digit 5 in 203.45 has the value…

A: Here we have to use basic decimal comparison concept. Before the decimal i.e as we move towards from…

Q: Let a, b and c be positive numbers such that a ^ 2 + b ^ 2 = c ^ 2 Show that a + b> c.

A: Let a, b and c be positive numbers such that a ^ 2 + b ^ 2 = c ^ 2To Show:-  a + b&gt; c.

Q: B. Write the converse, inverse, and contrapositive for each statement. 1. If a polygon has four…

A: 1.If a polygon has four sides , then it is a quaddrilateral.1.If a rained last night, then the…

Q: Prove: Let a, b, c, d be real numbers. If a &lt; b and c &lt; d, then a + c &lt; b + d.

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Q: Let a, b be positive real numbers. Prove that a +b< v2(a² +b²).

A: solution:-let a, b are positive real numbersroot mean square(RMS) of a and b =a2+b22arithmetic…

Q: Let a and y be real numbers. Prove hat, Say>I1, hen>2 ory>L

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Q: Prove or disprove: If x and y are real numbers with y ≥ 0 and                           y( y + 1) ≤…

A: Given equations - yy+1 ≤ x+12             ....................(1)yy-1 ≤ x2…

Q: Use proof by contradiction to prove the statement. If a and b are real numbers and a ≤ b, then a + c…

A: To prove that  if a≤b then a+c≤b+c, suppose on the contrary that if a≤b, then  a+c≥b+c. Now subtract…

Q: Solve for æ : ?/12 + 5 = 14 O 9 92/12 O 2/12 O 123 912/2

A: Given expression to be solved is : x2/12 + 5 = 14       . . . (1) To find : value of x

Q: If a, b, c all are distinct positive numbers then (a + b) (b + c) (c + a) is

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Q: 1. Show that the set of integers S = {a² + b2 : a, b € Z} that can be respresented as the sum of two…

A: See the details below.