(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
(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.)
Transcribed Image Text:
P:(x1, y1, Z1) to Pą(x2, y2, Z2) is X1 + x2 yı + y2 Z1 + Z2 2 2
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 66% (12 reviews)
a If the midpoint of the line segment from P x1 y 2 to Px2 y2 Z2 ...View the full answer
Answered By
Mugdha Sisodiya
My self Mugdha Sisodiya from Chhattisgarh India. I have completed my Bachelors degree in 2015 and My Master in Commerce degree in 2016. I am having expertise in Management, Cost and Finance Accounts. Further I have completed my Chartered Accountant and working as a Professional.
Since 2012 I am providing home tutions.
3.30+
2+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
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.
-
LA rainfall 2018 The Los Angeles Almanac website reports recent annual rainfall (in inches), as shown in the table. 1. Create a 90% confidence interval for the mean annual rainfall in LA. 2. If you...
-
CALCULATING AMOUNT A AILABLE AT RETIREMENT. Jocelyn Booker, a 25-year-old personal loan of- ficer at Second National Bank, understands the importance of starting early when it comes to saving for...
-
For the payroll period ended on June 25, 2013, gross pay was $14,300, net pay was $10,200, FICA tax withholdings were $1,000, income tax withholdings were $2,500, and medical insurance contributions...
-
I need help to do this problem on excel,Jillet Corporation began the year with inventory of 1 0 , 0 0 0 units of its only product. The units cost $ 8 each. The company uses a perpetual inventory...
-
Dave Fletcher was able to deter-mine the activity times for constructing his laser scanning machine. Fletcher would like to determine ES, EF, LS, LF, and slack for each activity. The total project...
-
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).
-
Dr. Chan obtained a $15,000 demand loan at prime plus 1.5% on September 13 from the Bank of Montreal to purchase a new dental X-ray machine. Fixed payments of $700 will be deducted from the dentists...
-
(b) A cylindrical storage tank with base area 90 m is being filled with water through an entry duct with cross-section area 250 cm, as shown in Figure 3. Concurrently, water is being extracted from...
-
Po A cylinder/piston arrangement contains 5 kg of water at 100 C with x= 20%. Initially the piston of mass m, 75 kg rests on a set of stops (see figure). The outside pressure is 100 kPa, and the area...
-
TABLE 2 Present Value of an Annuity of $1 n 123456 8% 9% 0.925926 0.917431 4 7 8 9 10 11 12 13 14 15 16 17 11.652296 10.837770 10.105895 9.446649 12.165669 11.274066 10.477260 9.763223 18 19...
-
There are 4 suits (heart, diamond, clover, and spade) in a 52-card deck, and each suit has 13 cards. Suppose your experiment is to draw one card from a deck and observe what suit it is. Express the...
-
Write isotopic symbol of zirconium and how many neutrons are present in one atom of this isotope
-
Indicate by letter whether each of the terms or phrases listed below is more associated with financial statements prepared in accordance with U.S. GAAP (U) or International Financial Reporting...
-
If the annual fixed costs are 54,000 dinars, the occupation expense represents 20%, the contribution margin is 25%, and the unit selling price is 40 dinars. Required: Calculate the closing point of...
-
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
-
The payroll register of Ruggerio Co. indicates $13,800 of social security withheld and $3,450 of Medicare tax withheld on total salaries of $230,000 for the period. Federal withholding for the period...
-
All of the following are included on Form 1040, page 1, EXCEPT: The determination of filing status. The Presidential Election Campaign check box. The income section. The paid preparer signature line.
-
Question One: (25 marks) (X) Inc. purchased 80% of the outstanding voting shares of (Y) for $360,000 on July 1, 2017. On that date, (Y) had common shares and retained earnings worth $180,000 and...
Study smarter with the SolutionInn App