(a) Prove that the midpoint of the line segment from (b) Find the lengths of the medians...

Question:

(a) Prove that the midpoint of the line segment from P:(x1, y1, Z1) to Pą(x2, y2, Z2) is X1 + x2 yı + y2 Z1 + Z2 2 2

(b) Find the lengths of the medians of the triangle with vertices A(1, 2, 3), B(-2, 0, 5), and C(4, 1, 5). (A median of a triangle is a line segment that joins a vertex to the midpoint of the opposite side.)

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For answer-question

Calculus Early Transcendentals

ISBN: 978-1285741550

8th edition

Authors: James Stewart

See More Books

Question Posted: Apr 15, 2019 12:19 PM

Prove that the midpoint of the line segment joining P(x 1 , y 1 , z 1 ) and Q(x 2 , y 2 , z 2 ) is X1 + x2 y1 + y2 Z1 + Z2 2
Show that the midpoint of the line segment from P 1 (x 1 , y 1 ) to P 2 (x 2 , y 2 ) is (x 1 + x 2 /2, y 1 + y 2 /2)
Find the perimeter of the triangle with vertices A(8, - 2), B(1, 5), and C(4, - 5).
Seth borrows X for ten years at an annual effective interest rate of 4%, to be repaid with equal payments at the end of each year. The outstanding loan balance at the end of the eighth year is...
When the atria contract, the blood flows a. Into the attached blood vessels. b. Into the ventricles. c. Through the atrioventricular valves. d. To the lungs. e. Both b and c are correct.
Audumla Oy began operations in 2018 and differs from Ginnungagap (described in Exercise 7.22) in only one respect: it has both variable and fixed manufacturing costs. Its variable manufacturing costs...
Juliette Shulof Furs (JSF) was a New York corporation that had been in the fur-dealing business for 15 years. George Shulof, an officer of JSF, attended two auctions conducted by Finnish Fur Sales...
Bad-Debt Reporting Presented below is information related to the Accounts Receivable accounts of Gulistan Inc. during the current year 2010. 1. An aging schedule of the accounts receivable as of...
Define what is meant by an asset and a liability. Give an example of each.
Cecilias Boutique wants several lists of salesperson data. Design a flowchart or pseudocode for the following: a. A program that accepts one salespersons ID number, number of items sold in the last...
Show that the equation represents a sphere, and find its center and radius. 3x? + 3y? + 3z? = 10 + 6y + 12z
Find an equation of a sphere if one of its diameters has endpoints (5, 4, 3) and (1, 6, -9).
Approximate the theoretical power in wind moving at a speed of 14 mph with an air temperature of 40F striking wind turbine with the following rotor sizes at a site at sea level: a. 10 ft b. 15 ft c....
A model rocket with a mass of m = 0.100 kg is launched vertically. The engines thrust is T = 5.00 N, and this thrust is provided for 2.00 s. The squared velocity-to-force proportionality constant...
3) Consider the circuit 100 V 2 F 4 F 5 3 F What is the equivalent capacitance, in F, for this network? b
A body moves on the horizontal plane along axis x. Its initial position (at t = 0) is x = 0 and its initial velocity is vo. The only force acting on this body is friction F(v) = -Man |v- v. Here M is...
4. Write out the loop and junction equations that describe the circuit in Fig. 3. V001 R001 R003 R006 R002 ww V002 R004 R005 ww ww Fig. 3. Circuit diagram for problem 4. +
4) Consider the circuit EB 6.8 11 1.4 11 F X b 11 F 11 F 16.8 F What is the equivalent capacitance, in F, for this network?
A buyout involving the target firm's current management is called a management buyout. In what way do these types of deals represent agency conflicts between managers and shareholders? What board...
F.(3e* -2x 3 sin(2x)) is equal to 2 3 Cos 8. IT 3, t (4+@ 2 3, 1+o 1 4 Cos 4 4 1 3. 1 +4cos V7 (1+o 4 1 4 Cos 4 1+0 4-
Show that 0 a = 0 = a 0 for any vector a in V 3 .
Show that the equation represents a sphere, and find its center and radius. 2x 2 + 2y 2 + 2z 2 2x + 4y + 1 = 0
Show that the equation represents a sphere, and find its center and radius. x 2 + y 2 + z 2 = 6x 4y 10z
Direction: Make an essay about festival dance, chose one from the given questions below. Write your answer in a separate sheet of paper. Processing questions: 1. Why is there a need for festivals?...
Stock A has an expected return of 0.1 and a standard deviation of 0.5. Stock B has an expected return of 0.2 and a standard deviation of 0.6. The correlation coefficient is 0.5. 1. What is the...
How might the self-fulfilling prophecy work in a positive sense? A negative sense? which is more common, and why? How can negative thoughts like this be realistically managed?

(a) Prove that the midpoint of the line segment from (b) Find the lengths of the medians...

Question:

P:(x1, y1, Z1) to Pą(x2, y2, Z2) is X1 + x2 yı + y2 Z1 + Z2 2 2

Step by Step Answer:

a If the midpoint of the line segment from P x1 y 2 to Px2 y2 Z2 ...View the full answer

Calculus Early Transcendentals

Students also viewed these Mathematics questions