1answer.
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
Darina [25.2K]
3 years ago
5

Find the point, M, that divides segment AB into a ratio of 5:6 if A is at (0,22) and B is at (11,0).

Mathematics
2 answers:
Alexandra [31]3 years ago
7 0

Answer:

The coordinates of point M is (10,6).

Step-by-step explanation:

Given:

The point, M, that divides segment AB into a ratio of 5:6

A is at (0, 22)

B is at (11, 0)

Let the coordinates of the point M is (x,y)

And m=5 and n = 6

Now apply the formula of line division:

x= (m.x2 + n.x1)/(m + n)

y = (m.y2 + n.y1)/(m + n)

By substituton, we have

x= (5×22+6×0)/(5+6)

x = (110 + 0)/11

x = 110/11

x = 10

Similarly

y = (5×0+6×11)/(5 + 6)

y = (0 + 66)/11

y = 66/11

y = 6

x=10 , y=6

So the coordinates of point M is (10,6).

Digiron [165]3 years ago
3 0

Answer:

(5,12)

Step-by-step explanation:

The co-ordinates of point M is

When provided with points A(x1, y1) and B(x2,y2) then to find the coordinates of the points that divide the line segment AB internally we use the formula

X=\frac {mx1+nx2}{m+n} and y=\frac {my1+ny2}{m+n}

Similarly, for the same points but when it’s divided externally we use the formula

X=\frac {mx1-nx2}{m-n} and y=\frac {my1-ny2}{m-n}

For this case, we use the first formula

M=5 and n=6 hence m+n=11

Total ratio is 5+6=11

Difference in x direction=11-0=11 points

Difference in y direction=0-22=-22 points

Point M=5/11(11, -22)+ point A

Point M=(5,-10)+(0+22)=(5,12)

You might be interested in
Find the mean and the MAD. [Note: Type your answers as decimal numbers, rounded to the nearest tenth.] 135, 160, 145, 155, 170,
VashaNatasha [74]

Answer:

Mean = 151

MAD = 9.14

Step-by-step explanation:

Given the data:

135, 160, 145, 155, 170, 150, 142

Mean = Σx / n

Mean = 1057 / 7

Mean = 151

Mean absolute DEVIATION (MAD) : Σ(x - μ) / n

[(135-151) + (160-151) + (145-151) + (155-151) + (170-151) + (150-151) + (142-151)] / 7

Mean absolute deviation = 9.14

4 0
2 years ago
Which table represents a linear function?
GalinKa [24]

Answer:

The top right option.

Step-by-step explanation:

3 0
3 years ago
Help me please!!!!!!!!!!
Whitepunk [10]

Answer:

x = 1

Step-by-step explanation:

4/5x - 8 = 12

add 8 to each side

4/5x = 20

divide 4/5 to each side

x = 1

5 0
3 years ago
Read 2 more answers
A fireplace arch is to be constructed in the form of a semiellipse. The opening is to have a height of 3 feet at the center and
USPshnik [31]

Answer:

Step-by-step explanation:

Given

Fireplace is in the form of semi-ellipse  with height of 3 ft from center

Length of base=8 ft

if the arch is in the form of ellipse then it can be considered as horizontal ellipse with 2 a and 2 b be length of major and minor axis

2 a =8

a=4 ft

If contractor cover the whole base

then total length of string=2a =8 ft

(b)String should be nailed at focus

focus of ellipse is a e

where e=eccentricity

e=\sqrt{1-(\frac{b}{a})^2}

e=\sqrt{1-(\frac{3}{4})^2}=\frac{\sqrt{7}}{4}

Focus =ae =\sqrt{7}

Thus string should be nailed at 2.64 m from center

8 0
3 years ago
Maria and Ming start at the same point and drive in opposite directions. Maria drives 75 mph and Ming drives 66 mph. How far apa
k0ka [10]

Answer:

D. 423 miles

Step-by-step explanation:

75 miles(3 hours)

66 miles(3 hours)

225+198=423 miles

5 0
3 years ago
Other questions:
  • Three angles of quadrilateral ABCD have measures 66, 95 and 114. what is the value of x?
    8·1 answer
  • The graph shows how much a plant grew after it was purchased. Which statement is not correct?
    10·1 answer
  • What is the mean of this data set? 6,7,2,1,5,2,1,6 PLEASE ANSWER FAST!!!!!!!!!!! 50 POINTS!!!
    12·2 answers
  • Which relationship is shown in the table below<br>a) proportional <br>b) nonproportional​
    9·1 answer
  • there are different number of bikes tricycles in tandem bikes in the shop there are a total of 144 front steering handlebars 378
    11·1 answer
  • I need help with my math homework. it is due on Monday
    11·2 answers
  • Factor this trinomial fast please!<br><br>p? +11p + 28<br>​
    13·1 answer
  • How do i write a polynomial functions that has roots 3 and 7
    5·1 answer
  • Nathena needs to buy a fence to put around her rectangular yard for her dog. Nathena forgot the width of his yard, but knows the
    13·2 answers
  • Find 3 14 Write the difference in simplest form. plz help​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!