answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Allushta [10]
2 years ago
7

Use the Midpoint Formula three times to find the three points that divide the line segment joining (x1, y1) and (x2, y2) into fo

ur parts
Mathematics
1 answer:
fredd [130]2 years ago
6 0
We are given points A(x_1,y_1) and B(x_2,y_2). 

We first find the midpoint M, of AB, which divides the segment AB into 2 equal parts, 

then we find the midpoint N of AM, and midpoint K of MB.

Thus each of the half parts is divided into 2 equal parts. The whole segment is divided into 4 equal parts.




The coordinates of M, N and K are found as follows:


the coordinates of M are: ( \frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})


the coordinates of N are: 

\displaystyle{( \frac{x_1+\frac{x_1+x_2}{2}}{2} , \frac{y_1+\frac{y_1+y_2}{2}}{2})=( \frac{\frac{2x_1+x_1+x_2}{2}}{2} , \frac{\frac{2y_1+y_1+y_2}{2}}{2})

=\displaystyle{(\frac{3x_1+x_2}{4}, \frac{3y_1+y_2}{4})}


similarly, the coordinates of k are:

=\displaystyle{(\frac{x_1+3x_2}{4}, \frac{y_1+3y_2}{4})}


You might be interested in
Beth sold half of her comic books and then bought nine more. She now had 28. With how many did sh begin?
Vladimir79 [104]

Answer:

<h2><em><u>38</u></em></h2>

Step-by-step explanation:

She began with 38 books.

28 - 9 = 19

19(2) = 38

Hope this helps!

3 0
2 years ago
Read 2 more answers
A cone is cut out of the center of a pyramid with a rectangular base. The rectangular base has side lengths of 15 and 10 units.
Mekhanik [1.2K]

Answer:

Volume of shaded portion = (600 - 36π) units³

Step-by-step explanation:

Volume of the shaded portion = Volume of pyramid - Volume of cone

Volume of pyramid = ⅓*l*w*h

Where,

l = length of base of pyramid = 15 units

w = width of base of pyramid = 10 units

h = height of pyramid = 12 units

Plug in the values to find the volume of the pyramid

Volume of pyramid = ⅓*15*10*12 = 5*10*12 = 600 units³

Volume of Cone = ⅓πr²h,

Where,

r = radius = ½ of diameter = ½ of 9 = 3 units

h = height = 12 units

Volume of Cone = ⅓*π*3²*12 = ⅓*π*9*12

= π*3*12 = 36π units³

Volume of shaded portion = (600 - 36π) units³

3 0
2 years ago
Sketch the region of integration for the following integral. ∫π/40∫6/cos(θ)0f(r,θ)rdrdθ
solong [7]

Answer:

The graph is sketched by considering the integral. The graph is the region bounded by the origin, the line x = 6, the line y = x/6 and the x-axis.    

Step-by-step explanation:

We sketch the integral ∫π/40∫6/cos(θ)0f(r,θ)rdrdθ. We consider the inner integral which ranges from r = 0 to r = 6/cosθ. r = 0 is located at the origin and r = 6/cosθ is located on the line  x = 6 (since x = rcosθ here x= 6)extends radially outward from the origin. The outer integral ranges from θ = 0 to θ = π/4. This is a line from the origin that intersects the line x = 6 ( r = 6/cosθ) at y = 1 when θ = π/2 . The graph is the region bounded by the origin, the line x = 6, the line y = x/6 and the x-axis.    

3 0
2 years ago
The mass of a stone is 5kg. The stone is twice as heavy as a book. The book is 5 times heavier than a ball. What is the mass of
Irina18 [472]
The answer is 1.01 I did it on paper
8 0
2 years ago
Which ordered pair minimizes the objective function C = 60x + 85y?. (0, 160). (55, 70). (80, 50). (170, 0)
dangina [55]

Step-by-step explanation:

The given objective function is C = 60x + 85y

To check that which ordered pair is minimizing the objective function-we will substitute all the ordered pair one by one in the given function and we will calculate the value of C. The ordered pair which will give the minimum value will be the answer.

For (0, 160)

C=60\times 0+85\times 160=13600

For (55, 70)

C=60\times 55+85\times 70=9250

For (80, 50)

C=60\times 80+85\times 50=9050

For (80, 50)

C=60\times 170+85\times 0=10200

Hence the ordered pair which minimizes the objective function is (80, 50)




3 0
2 years ago
Read 2 more answers
Other questions:
  • antonia is keeping track of the number of pages she reads. she started the school year having already read 95 pages her book, an
    10·2 answers
  • A driver receives -25 points for each rule violation. What integer represents the change in points after 4 rule violations?
    10·2 answers
  • John divided his souvenir hat pins into two piles. The two piles had an equal number of pins. He gave his brother one-half of on
    10·1 answer
  • Which statements are true regarding triangle LMN? Check all that apply.
    12·2 answers
  • A study analyzed the average yearly salt intake in the United States from 2012 thru 2017. The data is summarized in the table: Y
    8·1 answer
  • Hailey has a rectangular bedspread that measures 890 cm by 2891 cm. She wants to sew a fringe around the edge of the bedspread.
    7·2 answers
  • a researcher is testing reaction times between the dominant and non-dominant hand. they randomly start with each hand for 20 sub
    10·1 answer
  • El numeral 32012(4) representado en el sistema decimal, porfavor
    11·1 answer
  • I NEED HELP NOW What is the equation in slope-intercept form of the linear function represented by the table? x y –6 –18 –1 –8 4
    11·2 answers
  • 3.75 ÷ 1.50 is equivalent to 375 ÷ 150.<br> The dividend and divisor were both multiplied by
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!