11. ABCD is a quadrilateral such that if sides AB and CD are extended they will meet at a right angle. Prove that (AC)² + (BD) = (AD)² + (BC)².

Q: Find the firct derivatioves of the follwing: - 3 ) y= 3x-x -2 4) y: Jerx 2) y: Ji-7x 5) y = 2メ-3

A: ddxxn=nxn-1 ddxu(x)v(x)=v(x)ddx(u(x))-u(x)ddx(v(x))v(x)2

Q: Solve for x. √6x - 12 = 0     A) 6     B) 12     C) 18     D) 24

A: √6x - 12 = 0 Adding 12 on both sides, we get √6x - 12 + 12 = 0 + 12 or, √6x = 12

Q: (r, 0) 4, – 3+ 27 (r > 0) %3D

A:

Q: 9. Prove, by coordinate geometry that QRST is a parallelogram. Q(0

A:

Q: 23) Perform the operation, then simplify.: * 8s³ 10s7 25s 32s 14 A) S/1. 2 C) E) A) B) 20 D) OE) 516…

A: we need to find out the correct option.

Q: Which equations are quadratic? 1 a) 2x? - 5x + 3 = 0 1 = 0 8 d) 4 b) x = x? + 4 e) V2r - 1 = 3 c) x…

A:

Q: 1) Use "Colone Technique" to find x = 20+20+/20+... %3D A) V20 B) V23 C) 6 D) 5 2) Use "Colone…

A:

Q: 45) An airplane at T(80, 20) needs to fly to both U(20,60) and V(110, 85). What is the shortest…

A: Distance between T and U is given by TU=(20-80)2+60-20      =-602+402      =3600+1600      =5200…

Q: 8. Given: The coordinates of rectangle DEFG are D(0, b), E(a, b), F(a, 0), and G(0, 0). Prove: The…

A:

Q: 10. In quadrilateral OABCD, AD = BC and ZA = LB. (a) Prove AC = BD. (b) Use this result to prove…

A: 10 Given data: (a) The first given condition is AD≅BC. The second given condition is ∠A≅∠B. In…

Q: Area of triangle bounded by line of equation x-3y-6=0 and coordinate axes measured in square units…

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Q: 4) y = v4 - 2x +5 5) y = v3x + 2 - 1 6)y = V2x + 7

A:

Q: Solve for x

A:

Q: Find the principal root of √400 a) 10 b) -20 c) 20  d) 400

A: Consider as K=400

Q: 2) Use completing the square to find the following: s+4 а) L-1 ans: e-2t cos2t + e¬2tsin2t (s²+4S+8)…

A: We have to answer the following... a. L-1s+4s2+4s+8b. L-12ss2+12

Q: 3. Use perfect squares or difference of squares formulas: a) (V5b – 8)? = b) 36x2 — у2 %3D - c) (2w²…

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Q: 9) Find the perperdicular distance between X+24+32=5 -42=10. Xey+22=12 -32-25 and 2*+39 b)Find its…

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Q: The output of the following lines: ale Solve[{x-y== 2, x+2y== 4), (x,v}]}; Part[sol,1];…

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

Q: Show that a pyramid of height h whose base in an equilateral triangle of side s has √3 2 volume -hs"…

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Q: Convert it to farst order and Linear if. equ. int. factor. solve by wing

A: First we will convert it to 1st order linear differential equation.

Q: Math 2.docx 31/08/2021 J 1) By writing each of the numbers in the form a x 10 where n is even, find…

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

Q: 1) x-intercept = 1, y-intercept = 5 A) B) C) D)

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Q: Let å = [3,-2,1]; B = -21-1-2k; č= i+j;d36j. %3D nd (6+).d)? A) -2 C) -3 G) i + 2j - 2k B) 2 D) -1…

A: a→=3, -2, 1,  b→=-2i-j-2k,  c→=i+j Now, b→+c→=-2i-j-2k+i+j=-i-2k

Q: Assume that a = b + d. a. Show that the trapezoid is isosceles. b. Prove that its diagonals are…

A: Given  Here assume that a = b + d.

Q: 7. Factor. a) 12m?n3 + 18m³n² b) x2 – 9x + 20 c) 3x2 + 24x + 45 d) 50x2 – 72 9x 2 e) – 6x + 1 f)…

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Q: fW)= lox5+3x°+ 4x3+ d Heading coetficiunt= maximum number of real zerS=

A: