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
jonny [76]
3 years ago
8

Find the coordinates of the point which divides the line segment joining the points (4, -3) and (8,5) in the ratio 3:1 internall

y.
Mathematics
1 answer:
Inessa05 [86]3 years ago
7 0

Answer:

The coordinates of the point that divides the line internally in the given ratio is (7,3)

Step-by-step explanation:

To find this coordinates, we use the in renal division formula

we have this as;

(x,y) =( nx1 + mx2)/(m + n) , (ny1 + my2)/(m + n)

(x1,y1) = (4,-3)

(x2,y2) = (8,5)

(m,n) = (3,1)

So, substituting these values, we have ;

(x,y) = (1(4) + 3)8))/(3 + 1) , (1(-3) + 3)5)/(1 + 3)

(x,y) = (28)/4, (12/4)

(x,y) = (7,3)

You might be interested in
How do I evaluate 8^7 / 8^7?
morpeh [17]

Answer:

The final result is 1

Step-by-step explanation:

Remember the following:

\frac{x^{m}}{x^{n}} = x^{m-n} \\

And that x^0= 1

We have: 8^7 / 8^7= 8 ^ (7-7)=8^0=1

3 0
3 years ago
What’s the pattern of -1, -8, -27, and -64
AURORKA [14]

Hello from MrBillDoesMath!

Answer:

a(n) = (-n)^3  where n = 1,2,3,...


Discussion:

The pattern  1,8,27, 64... is immediately recognizable as the the cube of the positive integers. But this question has a minus sign appearing before  each entry, suggesting we try this:


 - 1  =  (-1)^3

 -8  = (-2)^3

-27  = (-3)^3

-64  = (-4)^3

That's what the problem statement asked for . The answer is equivalently

-1 * (n^3)


Thank you,

MrB

6 0
3 years ago
Can you help with did pretty please I'm stuck help just a, c ,d thanks luv.
Misha Larkins [42]

Answer:

a) The slope of the function is 3.

c) The equation is represented by n(t) = 3\cdot t + 35.

d) The y-intercept of the function is 35.

Step-by-step explanation:

a) According to the statement, we must assume that number of pieces of mail that must be hand-sorted (dependent variable) is represented by a linear function in terms of time (independent variable). That is:

n(t) = m\cdot t + n_{o} (1)

Where:

m - Slope, measured in number of pieces per minute.

t - Time, measured in minutes.

n_{o} - Initial number of pieces of mail that must be hand-sorted (y-intercept), measured in pieces.

n - Current number of pieces of mail that must be hand-sorted, measured in pieces.

From Geometry, we know that a line can be formed by know two distinct points. If we know that n(15\,min) = 80\,p and n(45\,min) = 170\,p, then the following system of linear equations is formed:

15\cdot m + n_{o} = 80 (2)

45\cdot m + n_{o} = 170 (3)

The solution of the system of equations is:

m = 3 and n_{o} = 35

The slope of the function is 3.

c) By (1) and using results from a) we conclude that the equation function is:

n(t) = 3\cdot t + 35 (4)

d) The y-intercept of the function is 35.

5 0
3 years ago
I need help pls can someone help pls
Julli [10]

= 23.5

hope it helps

8 0
3 years ago
Read 2 more answers
The width of a rectangle measures (3c-9d)(3c−9d) centimeters, and its length measures (8c-2d)(8c−2d) centimeters. Which expressi
Vsevolod [243]

The expression for the perimeter of the rectangle is 2(11c - 11d)

Perimeter of a rectangle = 2(length + width)

Length = 3c - 9d

Length = 3c - 9d Width = 8c - 2d

The expression for the perimeter can be expressed thus :

2(3c - 9d + 8c - 2d)

Collect like terms :

2(3c + 8c - 9d - 2d)

2(11c - 11d)

Hence, the expression for the perimeter of the rectangle is 2(11c - 11d)

Learn more : brainly.com/question/2142493?referrer=searchResults

3 0
3 years ago
Read 2 more answers
Other questions:
  • How do the arrows for +1 and -1 show both distance and direction?
    6·1 answer
  • Can you draw a square with a perimeter of 20 units explain why or why not
    10·2 answers
  • Explain how to find 40 x 50 using mental math
    10·2 answers
  • On a number line what does it mean when it said find the ratio of DH to CE when D=30 H=70 C= 20 and E= 40
    10·1 answer
  • What is the vertex of the graph of y = –x??<br> 0 (-1,0)<br> O (0, -1)<br> O (0,0)<br> O (1,1)
    5·1 answer
  • What is the answer?
    14·1 answer
  • Can you please give me an explanation on which one of these is right?
    10·1 answer
  • Collect like terms<br> −<br> 8<br> d<br> 2<br> −<br> 3<br> d<br> 2
    5·2 answers
  • Plz someone simplify for me and do it step by step
    9·1 answer
  • Can some one help quickly. Please show work
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!