Problem #6: Find the area of the triangle with vertices (-2, 1, 3), (-3, 1,5), and (4,0, 4). Enter your answer symbolically, as in these examples Problem #6:

Q: Problem 2. Find all triples of integers (x, y, z) that satisfy r² + 2y? = z2.

A: (x,y,z)=(k|b2−2a2|,k(2ab),k(b2+2a2)),a,b,k∈Z+

Q: m 2. Give an example of ea geometric 0-simplex in R2, geometric 1-simplex in R2, geometric 2-simplex…

A:

Q: Question 1. Instructors at the local community center are planning the summer schedule of music…

A:

Q: ing in the addition problem 167 + 59. Draw (sim- Describe how to use bundled toothpicks (or bundles…

A: Solution: 167 + 59 We are showing pictorial representation is given below

Q: Problem 1. We wish to form a 5 digit number using the digits 1, 2, ..., 9. The constraint is that…

A: Digits: 1, 2, 3, 4, 5, 6, 7, 8, 9 Total no. of 5 digits that can be formed: 95 = 59049

Q: graph the following (do not use a calculator) a) y=√x−1 −2            b) y=−|x+ 2|+ 3

A: a) Given data: The given graph of the curve is y=√(x-1)-2. The domain of the given function is (1,…

Q: Problem 2 Let A, B, and C be sets. 1. By means of an example show that AUC=BUC does not necessarily…

A:

Q: Problem 12. A restaurant offers a choice of 5 salads, 9 entrees, and 4 desserts. How many possible…

A: Choice of  5 salads, 9 entrees, and 4desserts. 1 salad from 5 salads can be selected in 5 ways. 1…

Q: Problem 6 Find all sets A, B and C which satisfy the following. A= (1, IB, IC} B = {2,|A|, |C|} C =…

A:

Q: Problem 5. Given M= 5 (73) 0 √(-2₂ 3) and K= find: a) A+B, b) 5A-3B,

A:

Q: lem 17. What multiple of a = (1,1,1) is closest to the point b= (2,4,4)? Find also the poin st to a…

A:

Q: Refer to the graphics addendum (A). The impedance shown is connected in a O Red leg Delta…

A: The given diagram is a wye or star configuration. Impedance of a given configuration is calculated…

Q: Problem 3. How many ways are there to select an 11-member soccer team and a 5-member basketball team…

A:

Q: Problem 3 A = {4,6,8}, B = {5,6} Check ALL of the following Cartesian products to which the fol…

A: Use the given information.

Q: 2. If an+2 = 6an+1 - 8an + 3 and a0 = 3, a1 = 7, then a6 =

A:

Q: Quadrilateral ABCD has vertices at A(6,1), B(2,4), C(-5, 4) and D(-1,1). Find the area. Workspace…

A: Sketch the quadrilateral □ABCD with co-ordinates A6, 1, B2, 4, C-5, 4, D-1, 1 and find its area.

Q: 4. While working on problem 8-3, Casey noticed a pattern with the diagonals of each generic…

A: We can clearly see that the diagonals after multiplying according to the box gives equal result…

Q: 2)

A: Comparing r→=t2i-4tj with the vector r→=xi+yj we get, x=t2 and y=-4t. We have to sketch the vector…

Q: Express gcd(55, 17) as a linear combination of 55 and 17.

A:

Q: Problem 2: Let W(x, y) be the statement "Student x has visited website y", where the domain for…

A: Since you have posted a question with multiple subparts according to guildlines I will solve first…

Q: Problem 1. Which of the following subsets of R2 is a geometric simplex? a. R², b. {(x,0) | 0≤x≤1},…

A:

Q: I need help with the attached question please. a1 = ( -1, 2, 2) and a2 = (2, 2, -1)

A: The objective of this question is to find the projections of vector b onto the lines through vectors…