Exercise 4.4.9. Prove (using geometry) that the 4th roots of unity form square. (Hint: Besides showing that all sides are equal, you also have to how that they are perpendicular.)

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A: Given- The side AB in the triangle ABC is greater than AC, and D is the mid-point of BC. From C draw…

Q: Prove the following equations

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Q: Given that α and β are the roots of the quadratic equation ax2 + bx + c = 0. Show that αβb2 = ac(α…

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Q: Let r,s,tu be the roots of the equation x+ x + B+C+D=0 Prove that, if rs = tu, then A²D=c²

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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: Given: AB 2 BC and D is the midpoint of AC. Prove: BD bisects ZABC.

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Q: In the dlagram, DE Intersects AB and AC and is parallel to BC. C D. E А How can you prove that DB AD…

A: We can complete the gaps to prove the required statement as below.

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A: Given  x2+y2=16y2=16-x2y=16-x2

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Q: Study the solution of the following problem by D'Alambert's formula and determine the points where…

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Q: The diagonals of square MNOPMNOP intersect at Z.Z.  If MZ=2x+6MZ=2x+6 and NP=6x-10,NP=6x−10, find…

A: Geometry question

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A: Given: Let a,b,c are integer powers of 2 .

Q: 5. Which theorem makes the quadrilateral KLPQ a parallelogram for m = 14 and n = 12.5. %3D (5m +…

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Q: 19. a) Find the length of AD, if BD is a perpendicular bisector of AC. 4x + 6 BE 2x + 18 A b) What…

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Q: 2 Prove that the triangles are Similar. 3. 12 18 1.5 F 12 -A ABC~A DEF by SSS~ -AABC~AEDF by SSS~…

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Q: 8. If AB =9x-13 and DC = 6x +11, what would the value of x need to be in order for ABCD to be a…

A: Given that AB=9x-13 and DC=6x+11find x and DC

Q: 59. Let a, c +0. Show that the roots of ax? + bx +c = 0 cx? + bx + a =0 and are reciprocals of each…

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Q: d is the midpoint of ac cd= 2x+5 bc= x+28 ac is congruent to bc by solving for x find ac

A: Congruent sides means , sides having same length.

Q: Use the side-splitter theorem to solve for a in the triangle below. 12 11 77

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Q: 9. The diagonals of parallelogram PQRS intersect at X. If RX = a and RS = b, the following in terms…

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A: Using ASA criteria we can solve this

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A: The Polynomial P(x) of 3 rd degree Which has a lone x intercept at 'a' will look like, P(x)=(x-a)…

Q: The diagonals of rectangle QRST intersect at P. Given that mZPTS = 34° and QS = 10 , find QP . %3D R…

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Q: 19. a. Complete this statement of Theorem 8-5: If the square of the longest side of a triangle ?. b.…

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Q: (a) If Q: R"R is a quadratic form, ex that O takes on

A: Given, Q : ℝn→ℝ is a quadratic from,

Q: The following figure shows that ABDC square shape IF: BN = AN MC = BM MD = AM N if Extend a side of…

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Q: To prove the equation r + z –1=0 has exactly one real root, %3D

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Q: (4) Show that in general the sum of the roots of a quadratic equation ax? + bx +e=0 b is --whereas…

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Q: Prove that if one root of ax? + bx + c = 0 is twice the other then 2b = 9ac

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Q: 2. Use the quadratic formula to find the roots of the equation: 5x - 4x +8 = 0. -4+ 12i 5. O x = 3…

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Q: In the figure alongside, D is mid-point of BC. If 2CG = AC and BA//DE, prove that 3DF = FG. %3D

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Q: (f) Use the complete square form obtained in (d) to solve 3z- 6z 1= 0.

A: We expert are following the guidelines. I'm going to solve first problem.Here we will solve for x by…

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