Write the missing term to make each of the following a perfect square trinomial. 1. 25x + 4y? 2. x? + 2xy' +

Q: The center-radius form of 4x^2+24x+36+4y^2-8y=100  can be obtained by adding both sides of the…

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Q: .Find the number of ordered pairs (r, y), where r is an integer and y is a perfect square that…

A: Topic:- algebra

Q: EX- Find the roots of the following eg.:z-224=0

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Q: 5.Find the expression for the perimeter of an equilateral triangle with a side length of…

A: Equilateral Triangle is the triangle with three equal sides and three equal angles of 60° each.…

Q: XI VGo-2IX =8 60-21X

A: Given,          x-60-21x=8

Q: WXYZ is a square, find the length of WR: WX =5/2

A: Given: WXYZ is a square and WX = 52

Q: The quadratic form Q = x' – 4xz + 6y? + 422 is:

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Q: 1. Juanita has a 5 by 4 inch sheet of colorful paper that she will use to make a box for her…

A: Juanita has a 5 by 4 inch sheet of colorful paper,  she used to make a box for her friend's present.…

Q: Convert the following equation into vertex form by completing the square. x² – 18x + 21 O (x – 8)² +…

A: Given :                       x2 - 18 x + 21 Convert the equation into vertex form.

Q: When the area of a certain circle is divided by 4π, the result is the cube of an integer. Which of…

A: Here, it is given that when the area of a certain circle is divided by 4π, the result is the cube of…

Q: Solve the following vyrtems of equationr using matricer. a. 2x ty fz=4 -3xtay-22=-10 b. xt 3ytz= 10…

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Q: Solve for x (use In where necessary and leave answer with In) (a) 64 (b) 0.5e²x-1 = 4 %3D %3D

A: Given, a equation in x and we have to calculate the value of x.

Q: Find the area of the triangle formed by the coordinate axes and the line  2y + 5x − 10 = 0

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Q: Write 2x^2-3x+7= x^3+the square root of x-1  as it might have appeared in each of the following…

A: To represent the given equation as notated by the various mathematicians (belonging to different…

Q: 1. Complete the square to write y = -2 x2 + 16 x – 21 in the form y = a (x - h)² + k

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Q: Find all integer roots of the following equation: x4 – 2x3 – 21x? + 22x + 40 = 0. - -

A: The given equation is x4-2x3-21x2+22x+40=0.

Q: Solve −5x^2−13x+1=0 for x by using the quadratic formula or otherwise. Enter each solution in surd…

A: To solve quadratic equation,  −5x^2−13x+1=0 Using quadratic formula and represent solutions in surd…

Q: Solve the following radical equation. V3x – 3 – Vx = 1 ||

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Q: Determine the nature of the roots of the following equations: (a) 3x +5x + 4 = 0 (c) x-8x+ 16 = 0…

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

Q: The area of a square is given by 625x y. What is the length of one side of the square? O 25°xy O…

A: .

Q: A D 2) Find the square root. V68 O 2/34 O 3V17 O 4/17 O 2/17

A: Find the square root. √68

Q: Evaluate (4x – 8)e*²-4x+3dx

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Q: 3 If the longer leg of a 30° - 60° - 90° triangle has a length of V243 , how long is the hypotenuse?…

A: The opposite side of the largest angle is longest leg

Q: If the roots of the equation a(b – c)x² + b(c – a)x + c (a – b)=0 2 1.1 are equal, show that b а с a

A: Here we will show that 2b=1a+1c

Q: Q 3. What should be done to x? – 8x to create a perfect square? O add 4 O add 16 O subtract 4 O…

A: topic - quadratic equations

Q: Which of the following square roots lies between 1 and 2 ? a) √2 b) √4 c) √5 d) √11

A: It is given that a) √2 b) √4 c) √5 d) √11

Q: re cube roots of unity, tl w?) is

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Q: If a + ß and o² = 5a - 3 and ² = 53-3, find the equation whose roots are alß and B/a.

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Q: Find the longer dimension of the rectangle enclosed in a semicircle y=/144- x2 with the largest…

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Q: Use the ALEKS graphing calculator to solve the equation. x+2-2x+6 e %3D Round to the nearest…

A: detailed solution is given below

Q: Find each of the following. 7. The perimeter of a triangle is 8x2-2x +6. If two sides of the…

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Q: Find each of the following. 7. The perimeter of a triangle is 8x2-2x + 6. If two sides of the…

A: We will find the missing side of the triangle in the following step.

Q: nd the length of the hypotenuse of a right triangle if the lengths of the other two sid B

A: Given query is to find the length of the hypotenuse.

Q: The triangles below are similar. 2x+1 10

A: if the traingle are similer , then the proportion of the legs on the left to the legs on the right…

Q: What value of c makes the following into a perfect square? x2 + 15 x + c

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Q: 19. Use the figure to show that the length of the hypotenuse of an isosceles right triangle is V2…

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: 8. Simplify each of the following square roots that contain variables in the radicand. (a) V8 (b)…

A: I have given an solution step 2.

Q: This question must be solved by "completing the square".  Be sure to show your work accordingly.…

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Q: Find the points on the graph of 3x2 + 10xy + 3y? = 9 closest to the origin.

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Q: Find the roots for each of the following using the quadratic formula. Also, describe the number and…

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Q: A. Find the square of the following. 1. (x+ 2) = 2. (x + y + 2)? = 3. (x- 2y + z)-

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

Q: If a # B and o² = 5a - 3 and ß² = 5ß - 3, find the equation whose roots are alß and pla.

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Q: 2: Find the area of the triangle formed by the axes of co-ordinates and the straight line 5x + 7y =…

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Q: QUESTION 8 Determine the constant term that must be added to the expression to make it a perfect…

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Q: Find the equations with the following pairs of roots. 1. {2, 3} 2. {-3, 1} 3. {4, -2}

A: Use sum of roots and product of roots in the general equation. General equation, x2-(sum of roots)…

Q: Find the values of x, y, and z in the triangle to the right. (3x+8)° (3x-8)° 20 y%3=

A: The sum of the exterior and interior angle of the triangle is 180 degrees. Sum of the interior…

Q: Please help. Explain it clearly and easy to understand (*showing step by step.)

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Q: A right triangle has a hypotenuse of 25 in and a height of 7 in. What is the area of the triangle

A: SOLUTION-

Q: 5. Determine the root(s) for the following equation: 3x +5 = 10x

A: We have to find roots

Q: Simplify each of the following square roots that contain variables in the radicand. (a) V&r (b)…

A: We simply that roots problem by using factor of veriable . Here i attached solution of this…