17. Trapezoid ABCD has AB || CD, BC = Let O be the intersection of the diagonals AC and BD, and let P be the midpoint of BD. Given that OP = 11, the length AD can be written in the form m /n, where m and n are positive integers and n is not divisible by the square of any prime. What is m +n ? CD = 43, and AD I BD. %3D (A) 65 (В) 132 (С) 157 (D) 194 (E) 215

Q: 5n -) in different ways. 4 Complete the ordered pairs to name the point (2, r>0 and 0 0 (-2, + )

A:

Q: Find the area of the parallelogram determined by v = (9, 0, 0) and w = (0, 10, 5). (Use symbolic…

A: Given vectors are  v = 9, 0, 0  and  w = 0, 10, 5                         v × w = ijk9000105…

Q: Simplify. ansiwer. ASSume that no variables are o, Donot use hegative exponents in the (3 wx -8 4

A: Given, (3w-8x5)4   = (34 ) (w-8 * 4) (x5*4)                [because (am)n  = am*n  ]…

Q: 1. Find the distance between P and Q. P(−4, 12); Q(−12, 4)

A: Explained below

Q: Is that dot between the n and d1d2...dk meaning multiplication?

A: It is not multiplication.

Q: A 2. Find the distance between (-1, -7) and (5, 9). O 2v13 O 2v73 O v22 O 2V5

A:

Q: + 5j and b = 7i - 33. Find: %3D 2. a- 2- 4. 53 56 6. 2a + 3b 8. a + ñ|

A:

Q: - Find the area of a triangle PQR, where P = (1, - 2, 3), Q = (1, — 4, 1), an R = (1, 6, 0)

A: we need to find out the area of the triangle whose vertices are given.

Q: which of the following is closest to the length of cd if its endpoints are at C(-5,3) and D(2,13)

A: Given: C(-5,3) and D(2,13)   To Find:  Closest to the length of CD

Q: 2. Find the area of the triangle PQR where P(0, 1, 1), Q(3, -2, 1), R(1,0, A. 4√2 B. 5√3 C. 12√3 C

A:

Q: Consider the points A(1, -3, 7), B(3, 2, 7) and C(-1, -1, k). Determine the possible value(s) of k…

A: Topic = Triangle Possible values of k are 6 and 8.

Q: Find m2Q. R 3 mzQ = [ 3.

A: Since the given traingle  △QRS is a right angled traingle  In △QRS         tan(∠Q) = RS/RQ  =>…

Q: Find w = a + bi = √z where a and b are real numbers. 24+10i W = W =

A: w = 5 + i  ,  w = -5 - i Explanation: Or  Thank you 😊

Q: Let ā = 6i – 5j and b 4i + j. Find a :

A: Here I am attaching image so that you understand each and every step.

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.