Answered: 1) How many triangles can be drawn on a…

Math

Advanced Math

1) How many triangles can be drawn on a plane using 8 non-collinear points?

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.3: Informal Geometry And Measurement

Problem 9E: Must two different points be collinear? Must three or more points be collinear? Can three or more...

See similar textbooks

Related questions

Q: Find f(x) dx for each graph of y = f(x), where f(x) consists of line segments and circular arcs. Ay ...

Q: Numbers to Use 1 2 3 4 + 24 + 24 > 24 24 24 24 24 24 24 24

Q: 9.5. If s1 = a+ib¡ and s2 = a2+ib2, and s1s2 = use the fact that r= Va² +b² and (a¡a2 – bjb2) +i(a¡b...

Q: an+1 Assume that | an | converges top = ÷. What can you say about the convergence of the given serie...

A: I have used ratio test to conclude the series is convergent.

Q: 12. Let A be a 3×3 matrix, and suppose that the matrix B is obtained from A by the following row ope...

A: Remark: Effect of elementary row operation on a matrix: If two rows of a matrix are interchanged, th...

Q: 4. Use variation of parameters to find a general solution of r'y" + 5a?y" + 2:ry/ – 2y = x³ log(x)

Q: Assume that when human resource managers are randomly selected, 48% say job applicants should follow...

Q: 1 Sketch the following four vectors: Let A = -2 -3 2 -2 • Aui • Auz Based on your sketch, which vect...

Q: PLEASE don't use excel for this. Show the solution with formula needed. COMPOUND INTEREST 1. What ra...

Q: Q, Solve he differnktial equntion by Laplace troms form. ý-y =t, yW=1, ý(0) =1

A: Note: According to Company Guidelines we are providing the answer of first question. Kindly post oth...

Q: If x1/2 =(42)1/24 then find the value of x

Q: A sports store sells tennis racquets of six different prands: Wilson, Prince, Babolat, Dunlop, Yonex...

A: There are 6 brands we need to select 4 brands Out of the 4 brands Wilson or Prince should always be ...

Q: 4. Use rules of inference to show that the hypotheses Vr(P(r)^ Q(z)) and Vr((¬P(x) ^ Q(x)) → R(x)) i...

A: We have to show that the hypotheses imply the conclusion using the rule of inference.

Q: Elimination of Arbitrary Constant. Find the differential equation

Q: In Figure below, what is the electric potential on the moving charge +10microcoulomb due to a source...

Q: Slne che Disferential Equateos: =x² -x+\ method of wndetermined Eocffidento. byuaing the

A: The given problem is to solve the given linear non homogeneous differential equation using the metho...

Q: Determine if the series is convergent or divergent. Show your work, and clearly state the test used ...

Q: cosx sec? x + cos x csc² csc² x csc² x secx cos? x cos x cos x , then 6 f(x)dx_, * f(x) 1

Q: If A = 40ei120°. B = 20Z140°, C = 5 + 2i, solve for A+ 2B + C in rectangular form.

Q: ', Test for convergence the series 211 312 4N3 5V4

Q: Find the inverse of the given matrix if the matrix is invertible, and check your answer by multiplic...

Q: Prove that the cube of any integer in the form 9k or 9k + 1 or 9k + 8 .

A: Let n be some integer then by the Division Algorithm, n = 3p , 3p+1 or 3p+2 for some integer p

Q: Continuous Compound Interest. An investment of $25,000 earns interest at an annual rate of 8.4% comp...

Q: Solve the following questions. Show your solutions completely and clearly. 1. The following is a log...

Q: Ten national leaders are to be seated at a round table at a summit. If the presidents of the US and ...

A: Here we use complementary approach. First we find total ways of seating of ten leaders and then cons...

Q: Problem: A ladder 10m long is leaning against a vertical wall. If the bottom of the ladder is 8 push...

Q: 1 1 1| |1 1 1 15. If A =|1 1 then A2018 =_A?

Q: olve each problem . Point P is located at (-9, –5)and point Q is located at (-9, –8). What are the c...

A: Given points are P = (-9, -5) and Q = (-9, -8)

Q: A wire is to be cut into two pieces. One piece will be bent into an equilateral triangle, and the ot...

Q: Use the divergence theorem in R to evaluate the surface integral I of the two-form w= (zry + e) dy A...

Q: Ten national leaders are to be seated at a round table at a summit. If the presidents of the US and ...

A: 10 national leaders are to be seated at a round table at a summit. If the presidents of the US and R...

Q: Cos 3n (g) Σ 1+(1.2)" n=1 n n2n (h) Σ (1+ 2n²)n n=1

A: Determine whether each of the following series is convergent or divergent using the appropriate test...

Q: If A = -9 -31, then what is I + 2A + 3A² + 4A³ + 5Aª + ... ∞? 3.

A: We use definition of nilopotent matrix.

Q: x² + 2x 1. S(* - dx x+2

Q: The swimming pool can be filled with water in 10 hours using 6 hoses. How many hoses are needed if y...

Q: Find the limit of the sequence n cos n n² + 1' an

Q: 17. If A = -3l, then what is I + 2A + 3A² + 4A³ + 5A* + ... ¤?

Q: 3. Find the inverse Laplace transform of the following. (a) F(s) s2 + 3s – 4

Q: Let P (x) be the statement "x = x²." If the domain consists of the integers, give True/False accordi...

Q: In the year 1970, the median price for a house in Idaho was $54,200. By the year 2000, the median ho...

Q: Instructions My submission Discussions Project Title Give your project a descriptive title Show the ...

Q: 5. The following linear differential equation models the charge on the capacitor, q(t), at time t in...

Q: Solve the differential equation x²y" – 2xy + 2y = x (1+ ln x) by using a suitable transformation.

A: Note:Our guidelines we are supposed to answer only one question. Kindly repost other question as the...

Q: H.W 1- Find Po, F, A (Seasonal - hai) for the cash flow shown below: 3 x 10 IQD 700,000 IQD 300,000 ...

Q: (ABI6 · Di6)- (11001,– 101,)+ (7g · C16) = N0 -10)-(– -10) =. -10×, -10--10) + -10

Q: 2. For the set of equations 2x, + 5x, = 1 2x, + x, + x, = 1 3x, + x, = 2 (a) Compute the determinant...

Q: The arduous task of combing and tying up long hair and a desire to assimilate has led to approximate...

A: Given - 25% of Sikh youths do not wear turbans. To find - P= Probability of an Event x a) P(x=2) b)...

Q: Locate the approximate root of cos(x) – xe* = 0 using fixed point method, stop with the iteration if...

Q: 3. Which of the following are subspaces of Mnxn: Justify your answers. a) Nonsingular matrices b) Si...

A: Let V = Mn×n be the vector space of n×n matrices. Then W is a subspace of V if 1. Zero vector is in...

Q: 2. (a) Find (if possible) a function y(t) such that its derivative is itself. That is, find y(t) suc...

A: (a) y'(t) = y(t) => dy/y = dt Integrating both sides, we get, ln y = t + ln C,...

Question

1) How many triangles can be drawn on a plane using 8 non-collinear points?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

Must two different points be collinear? Must three or more points be collinear? Can three or more points be collinear?
When the diagonals of rhombus MNPQ are drawn, how do the areas of the four resulting smaller triangles compare to each other and to the area of the given rhombus? Exercise 46
The Segment-Addition Postulate can be generalized as follows: The length of a line segment equals the sum of the length of its parts. State a general conclusion regarding AE based on the following figure.
Prove that the altitude drawn to the hypotenuse of a right triangle separates the right triangle into two right triangles that are similar to each other and to the original right triangle.
Prove that if semicircles are constructed on each of the sides of a right triangle, then the area of the semicircle on the hypotenuse is equal to the sum of the areas of the semicircles on the two legs.