3i +j+ 4k and w Find the area of the parallelogram that has adjacent sides v 2i +j- 4k. The area of the parallelogram is (Type an exact answer, using radicals as needed.)

Q: . The area of a trapezoid is A = 12x2 − 11x + 2. The bases of the trapezoid are a=3x+1 and b = 5x-3…

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Q: u= - 5i - 4j - 6k, v = 2i + 2j + k uxv = (Type an exact answer, using radicals as needed.) (Туре

A: Given, u=-5i-4j-6kv=2i+2j+k

Q: Given that z=1+2i and z=1-2i are roots to the polynimial equation 2z3 - 5z2 +cz -5=0, where c…

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Q: A rectangle has its base on the x-axis and its upper two vertices on the parabola y = 9-x², as shown…

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Q: a) Show that x² – 5x – 14 = 0. x + 5 2x - 1 x - 2 b) Find the value of x and calculate the area of…

A: a) from figure by Pythagoras theorem (2x-1)2 = (x - 2)2 + (x+5)2 Simplify 4x2 – 4x + 1= x2 + 4 -4x +…

Q: 1.Parallelogram FARM is a rectangle with diagonals FR = = + 1 and x-2 2x+3 AM = = -+ Find FR. 2 A R

A: Given- Parallelogram FARM is a rectangle with diagonals FR¯=x3+1  ,  AM¯=x-22+2X+36 To do- Find…

Q: An oriental rug is 2 feet longer than it is wide. It’s a diagonal of the rug is 12 feet, find its…

A: An oriental rug is 2 feet longer than its wide. Assume that           Breadth = x feet…

Q: Exercises 35 and 36: Find all complex solutions. 35. 4x + 9 = 0 36. 2x2 + 3 = 2x

A: Given: 4x2+9=0 For finding solutions of given equation, we simplify it

Q: (b) The roots of the quadratic equation 3x-11x+9=0 are a and B. Form a quadratic equation whose…

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Q: A dolphin dives down into the ocean and resurfaces along a path that is modeled by x² - 8x + 4y = 0,…

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Q: simplify the perfect square √121x^14y^6

A: Simplify 121x14y6we know that 121=11x11=112121x14y6=112x14y6                 =112(x7)2(y3)2…

Q: Parallelogram WXYZ is a rectangle . The length of side WX = 4x + 10, the length of side XY = 2x - 6…

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Q: solve the square 9x2+8x=5 (simply your answer, including any radicals an i as needed. use comma to…

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Q: The rectangle and the triangle have the same perimeters. Find the dimensions of each figure. 2х-2…

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Q: A) 를 1+1=2 B) 를 x² +2 = 1 2 3 x 2+1 = 1 0) 를 ²+2=-1 OF OB Use the square root property to determine…

A: Given question:-  Use the square root property to determine which of the equation does not have the…

Q: 10. Find all the complex solutions 2x2 + 3x + 6 =D0

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Q: a) Find the solutions to the quadratic equation x2 b) Find the roots of the quadratic equation (2x +…

A: a) Consider the given quadratic equation. x2-144=0 The objective of the problem is to find the…

Q: 7. The formula for the area of a trapezoid is A=1/2h(b1+b2) where h is the height and b1 and b2 are…

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Q: The area of a rectangle is 70 in2, and it’s perimeter is 34 in. Write and solve an equation to…

A: Three questions are given which has to be solved.

Q: 1) f (x) = 10.09x2 + x4 + 17.64

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Q: 4x+ 8y=11 13. 2x+4y=-4

A: We have to find solution

Q: Use the quadratic formula to solve the equation. 4x +x+2 =0 The solution set is (Type an exact…

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Q: 8. -8r – 3 + 2r = 3 %3D

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Q: Q3 Find all the complex roots of the equations: (a) z6 = -9;

A: Answer

Q: The roots of the equation x - 6x – 2 = 0 are A 3± VII © 3±v7 6 -3±VI] O -3± v7

A: We have to find the roots of the equation x2-6x-2=0.

Q: The area of a square table below is (25x 2 + 40x + 16) cm 2 . Express the length of a side of the…

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Q: Español Find all complex solutions of 6x? + 5x+4=0. (If there is more than one solution, separate…

A: We can find the complex roots as below.

Q: olve the equation 3x + 4 6x2 + 5x 4 2x 1 Solutions (separate by commas): z =

A: Given: 13x+4+66x2+5x-4=x2x-1

Q: z₁ and z₂ are the roots of 32² + 3z + b = 0. If O(0), (z₁), (Z2, form an equilateral triangle, then…

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Q: simplify the perfect square √49a^4b^12

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Q: Find the roots of 4r2 – 2r – 12 = 0. - - %3D What is the value of the discriminant b2 – 4ac? Ans: -…

A: Given, 4r²-2r-12=0 It is of the form, ax²+bx+c=0 Comparing both equations we get, a=4 b=-2 c=-12

Q: Solve the equation 2w If there are more than one solutions, separate them by a comma. 16w = – 12 by…

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Q: A rectangle has its base on the x-axis and its upper two vertices on the parabola y = 9-x², as shown…

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Q: 4. In rectangle ABCD the diagonals AC and BD intersect at E. Given that BD = 24, %3D AE = 4x-8, and…

A: topic - Linear equation in one variable

Q: simplify the radical that is not a perfect square √32a^7b^4

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Q: Find the dimensions of the rectangle of maximum area with sides parallel to the coordinate axes that…

A: →The parametric equation of ellipse,                                xa2 + yb2 = 1       is given by,…

Q: -3.8x^2+0.8x+1.7 Find the roots answer the question

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Q: Find the dimensions of the rectangle of the largest area that can be inscribed in a circle of radius…

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Q: Solve by factoring. v2 + 7v + 10 = 0 The solution is v = (Use a comma to separate answers as…

A: We have to find solution

Q: Solve the e quations by completing the square. Preserves exact values. a) 2s+ 3= -7s 6)ナカー1=o c) t=…

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Q: A machine produces open boxes using square sheets of metal. The machine cuts equal-sized squares…

A: Now, According the the figure, Length  = x inches Breadth = x inches  Height   = 2 inches.   So,…

Q: Without solving for the roots, determine the sum and product of the roots of the folle еquations.…

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Q: AABC AWYZ. Solve for ... then find the length of YZ and AB. X = YZ = %3D AB = %3D A 3x-2 x+3 x+6 C…

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Q: 2. J40x2y2 STEPS SOLUTION 1. Factor the radicand. 2. Use the product property of radicals. 3.…

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Q: Convert the quadratic into factored form explaining the steps to change forms. State the roots and…

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Q: 3. Use Cardano's metnoa to solve the equation x³ – 6x – 9 = 0. Write the roots in rectangular form.…

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Q: Find the Value of the Discriminant. How many/what kind of Solutions? * 3 points 4x-14x +3 = 0 The…

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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…

Q: K = Q(53) andF = Q(V-3), where (3 EC is a primitive cube root of unity; %3D

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Q: When deriving the Quadratic Formula, we start with the general equation for a quadratic: az? + bx +c…

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