In Exercises 138–139, find all integers k so that the trinomial is a perfect square trinomial. 138. kx? + 8xry + y? 139. 64x? – 16x + k

Q: Write an equation for the polynomia 2. 34321 1 2345 -5 -4 -3 -2

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Q: In the diagram, PO bisects ZCPA Determine MCPA Answer the prompt to the right. Show your to support…

A: It is given that PQ bisect the angle ∠CPA.

Q: 2. Suppose that the expression x² +7x+12 (x+2)² represents the area of a rectangle. Find the…

A: The answer is in step 2. Every clue is given in the question.

Q: Use Polya’s Four Steps to solve the problem: How many perfect squares are between 1,000,000 and…

A: Find the number of perfect square between 1,000,000 to 9,000,000.   The four step of Polya’s is…

Q: In Exercises 59-72, simplify each expression using the products-to-powers rule. 59. (4х) 60. (2x)…

A: We have to simplify the expressions: 59.     4x360.    2x561.     -3x72 We know the power rule,…

Q: Exercises 108–110 will help you prepare for the material covered in the next section. 108. Multiply:…

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: 16. What is the cube root of 64x"

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Q: Use the fact that 12 oz is approximately 6.89pi in3 to find the dimensions of the 12 oz Coke can…

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Q: 6. Write a paragraph that explains the difference between a conjecture and a theorem in mathematics.

A: Here are the difference between conjectures and theorems in mathematics.

Q: Determine all prime numbers a, b and c for which the expression a² + b² + c² – 1 is a perfect…

A: We have to determine all the prime numbers a, b and c for which the expression a2+b2+c2−1 is a…

Q: 13. Find the value of C in the expression 5x2 – 2x + C to make it a perfect square trinomial. В. 25…

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Q: In Exercises 113–114, find the area of the large rectangle in two ways: a. Find the sum of the areas…

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Q: In Exercises 126–129, determine whether each statement is true or false. If the statement is false,…

A: 126). Given statement is "once a CGF is factored from 6y6-19y5+10y4, the remaining trinomial factor…

Q: Exercises 110-112 will help you prepare for the material covered in the next section. 110. Evaluate…

A: Consider the given information. 110. Consider the given function. A=2x+3x−4 Put x=4 in the above…

Q: what is the largest integer less then square root of 375

A: Largest integer less than square root of 375

Q: 444...4 - 888...8 D 2.142 Show that a number 20 digits 10 digits is the square of some natural…

A: Applying sum formula of GP series.

Q: 6 What is the smallest integer that makes the difference (3 X- 2greater than 1? Use estimation to…

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Q: In Exercises 45–68, factor by grouping. 45. x + 3x + 5x + 15 46. x + 2x + 4x + 8 47. x2 + 7x 4х — 28…

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Q: How will you know that the expression is a perfect square trinomial? 2. Why is it necessary to…

A: Both the answers are given below

Q: (c) Show that 3/2+ 2/3 is an algebraic number?

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Q: Choose the best description of x2 - 64.(a) Prime (b) Difference of two squares(c) Difference of two…

A: Given:            x2−64.

Q: In Exercises 45–68, use the method of your choice to factor each trinomial, or state that the…

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Q: Determine the value of k so that k x3-10x2+2x+3 has x-3 as a factor.   Please write clearly thank…

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Q: In Exercises 35-36, divide the polynomial by the топоmial. 35. (15.x3 – 30x2 + 10x – 2) ÷ (5.x2) 36.…

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Q: All perfect squares are divisible by 2. A.) True B.) False, counterexample of 16 C.) False,…

A: Numbers that are divisible by 2 are {0,2,4,6,8 ,10 } Perfect sq 1X1=1 2X2=4 3X3=9  4X4=16 5X5=15…

Q: Verify that 1225 and 41,616 are simultaneously square and triangular numbers. [Hint: Finding an…

A: To check that the given numbers 1225 and 41616 are both squares as well as triangular numbers.

Q: What is the value of k so that x -xy + is a perfect square trinomial? k

A: Given that, the given polynomial is x2-xy2+y4k, Compare the polynomial x2-xy2+y4k with the general…

Q: 2. Find the interpolating polynomial using NDD of the points (0,0) , (1,16) , (2,48), (4,88) and…

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Q: Select all properties that apply to a square.

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Q: A student claims that V80 is in the simplest radical form. Which statement is true? The claim is…

A: the prime factorisation of 80 is : 80= 2*2*2*2*5 ∛80=∛2*2*2*2*5        =2*∛10 hence this is the…

Q: Determine all prime numbers a, b and c for which the expression a² + b° + c° - 1 is a perfect…

A: We have to find the prime numbers a, b and c such that the expression a2+b2+c2-1 is a perfect…

Q: Exercises 151–153 will help you prepare for the material covered in the next section. 151. Replace…

A: To solve 3x3.?=9x5, consider the question mark as a and obtain 3x3.a=9x5. Then, divide both sides by…

Q: Which integers are quadratic residues of 11?

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Q: In Exercises 36–38, factor by grouping. 36. x3 - x? - 2x + 2 37. ху — Зх — 5у + 15 38. 5ах — 15ау +…

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Q: Use the Division Algorithm to prove that (a) The square of any integer is either of the form 3k or…

A: Disclaimer: Since we are not providing hand-written solution right now, the answer you have asked…

Q: 15. The area of a square sign is 16x - 40x + 25. What is the side length of the square. (hint use…

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Q: Either 7 · 10700 + 4 or 7 · 10700 +1 is not a perfect square.

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Q: 1. Provide counterexamples to show why there is no commutative property for sub- traction or…

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Q: Determine whether the statement makes sense or does not make sense, and explain your reasoning.…

A: From a polynomial firstly factoring out the greatest common factor makes it easier for me to…

Q: 21 Write an equivalent expression without a perfect square factor in the radicand 5 (2 Points) V32x3…

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Q: 2. What is the largest exponent in a quartic polynomial ? * 3 4

A: A polynomial is in the form a0+a1x+a2x2+........+anxn. and degree of the polynomial is n.

Q: Which is a factor of P(x) =  x^3 - 2x^2 - 5x +6 , x-1 or x+1? Explain. Which is a root of P(x)  x^3…

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Q: 42. What must be added to the expression x -3x + A. 6 to make it a perfect square trinomial? В.9 D.…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: the acdjainbaf square of As of 2.

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Q: 2. Explain how to find the area of the shaded region in the figure, if the length and the width of…

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Q: Use a trig substitution to eliminate the root. √(7 - w2)

A: We have the given expression as 7-w2