22. Allan started with a quadratic equation, nine xr+three x-23 = 0. He used the quadratic formula, which answer below is correct? 1t V93 A) x = B) x = 3 + V93 6. C) x = -3±V837 18 D) x = 1, -7 2.

Q: Hiw.7Find a veetur hasFunit lengthandmake angjes O =31, R=64.° and of=lois with the main a xisi

A: The magnitude of the vector A=7 units and it makes angles θ=31°, β=64.6° and  α=106.6°

Q: Use the side-splitter theorem to solve for x in the triangle below. 11 4 16

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A: We plug the given points and check. (2, -7/5) , so x=2 and y=-7/5This works.

Q: ヒhe following DE Solve (3 -パ くュース- J+ +4Cy-x %3D

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Q: D.E Solve the Fo llowing %3D

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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: 1. Detemine, whether and -v5 are roots of the equation 10a – 5 = 2a3 - a?.

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Q: This question must be solved by "the quadratic formula". Be sure to show your work accordingly. 2-…

A: The quadratic formula for the quadratic equation ax2+bx+c=0 for finding roots is given by,…

Q: х3 — 2х? - 5 %3D0, [1,4]

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Q: Find all canglants Solutions me",) = d - Bsn (24) dq a)

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Q: -2x y = Ce 2 + Cze*

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A: given quadratic equation t2-P+Qt+PQ=0 here assume that P and Q are two positive distinct roots of…

Q: "The sum of the square roots of any two sides of an isosceles triangle is equal to the square root…

A: Given: "The sum of the square roots of any two sides of an isosceles triangle is equal to the square…

Q: 2- Solve the following equation: Utt = c?uxx +, u(0, t) = u(2, t) = 0 u(x,0) = x? ,u; (x, 0) = e*

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Q: Which of the following are the solutions of cotx+ 2 = 2 cscx on the interval [0, 2n)? 2 0, я * 37 2'…

A: Question is solved.

Q: Y. 45° 45° 5.

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Q: Q1: Solve the following PED: ди ди = д1 ?х2 15x5/1/201 if u (x, 0) = 2x when 05x5

A: Solution 1: Given PDE is ∂u∂t=∂2u∂t2                   (1) u(x,0)=2x,   0≤x≤l2 By variable separable…

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Q: Use the substitution ux)%3D2х - Зу (x)+2 to solve the following IVP: У'+ (2х - Зу +2)23D0, у (0) —2

A: Given that diffrancial equation y'+2x-3y+22=0  , y0=2Solutiondydx=-2x-3y+22let…

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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.

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Q: 1. Prove that C(n, r) = n!/r!(n – r)!

A: Since you have asked multiple questions we will solve the first question for you. If you want to be…

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Q: R. 27 3/10 9. F E.

A: We have to find DE

Q: Solve for z, cosh(z) = -2 -VZ

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Q: Use the guadratic formula to solve for xr. 4x = 8x+1 %3D Round your answer to the nearest hundredth.…

A: Solution: The objective is to solve the given quadratic equation

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: Calculate the discriminant and determine the resulting number of solutions. 4x - x2 = 17 %3D BIUE E

A: We have to find

Q: Solve the equation 2sin(x) – 1 = 0 over [0, 27]. Please choose all the possible solutions. 1/2…

A: Here we have to solve the equation         2 sin(x) - 1 = 0  over [ 0, 2pi] .

Q: (1– (C+D)), provided (C+D) 4PQ. (28) Substituting (25) and (26) into (28), we get the condition…

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Q: Q1) Solve the following Iinear equation by Grammar s rule. Зх — 2у + z%3 1 2х + 6у — 2z %3D3 -x + y…

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Q: Q: Discuss the nature of the quadratic form x'+4xy+6xz-y+2yz+4z

A: Given problem is :

Q: 29. Given: BD bisects LABC. A Conclusion: Reason: C 30. Given: BD bisects AC at E. Conclusion:…

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Q: 4. Which of the qundratic equation has no real roots? 1. x*+ 3x - 10 -0 5 Whnt is the nature of…

A: The equation ax2 +bx+c= 0 has real roots if b2 -4ac=0

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A: We need to solve the following quadratic equation 4x2+9x-1 = 0…

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…

Q: Which quadratic equation has irrational roots? 2? + 7а — 30 — 0 2? + За — 40 — 0 - x2 – 11x + 18 = 0…

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Q: Solve the following equation by hand using Technique 1 taught on 7/13. This says if  ax=ay  then…

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Q: Q2: Write in indicial notation: a²¢ ¸ a?¢ ¸ a²p s = A? + Až + Až + + 2 %3D .2

A: S=A12+A22+A32 this can be written in indicial notation as: S=∑i=13Ai2

Q: If one of the roots of ax^2 + bx + c is 2/3 + 5/9i where a, b and c are integers, what is the value…

A: Explanation of the answer is as follows

Q: need some help with quadratic congruences and steps to solve them

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Q: Solve all other parts of each AJMP, Round off your answers to the nearest whole number. 12. ZP =…

A: I have appended the formula used in the solution part

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.