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Sauron [17]
3 years ago
13

Line segment AB has endpoints A(1, 4) and B(4, 2). Find the coordinates of the point that divides the line segment directed from

A to B in the ratio of 1:4.
A) (1,

6

5

)

B) (

18

5

,

8

5

)

C) (

6

5

,

18

5

)

D) (

8

5

,

18

5

)
Mathematics
2 answers:
Verizon [17]3 years ago
7 0

Answer:

D

Step-by-step explanation:

(

8

5

,  

7

5

)

(mx2 + nx1)

(m + n)

,  

(my2 + ny1)

(m + n)

Where the point divides the segment internally in the ratio m:n

((1)(4) + (4)(1))

(1 + 4)

,  

((1)(2) + (4)(4))

(1 + 4)

=  

8

5

,  

18

5

vodomira [7]3 years ago
4 0

Answer:

(8/5,18/5)

Step-by-step explanation:

vector AB = (3,-2)

⅕(-3,2) = (0.6,-0.4)

The point that divides A and B is at (1+0.6,4-0.4)

( 1.6,3.6)

You might be interested in
The ratio of boys to girls in a class is 2 to 3. If there are 4 boys in the class, how many girls are there?
WARRIOR [948]

Answer:

Step-by-step explanation:

Firstly, we can simplify the ratio of boys to girls to  

1

:

2

.

Then, to find out how many students each ratio represents, we add up  

1

and  

2

to get  

3

(

1

+

2

=

3

).

By dividing  

3

by the number of students, we can find how many students ONE ratio represents:  

24

3

=

8

.

So ONE ratio is equal to  

8

boys. Since our simplified ratio of boys to girls is  

1

:

2

already, we do not have to do further multiplying - the number of boys is simply  

8

.

For the girls, simply multiply  

2

by  

8

to get  

16

.

Check:  

8

 

boys

 

+

18

 

girls

=

24

 

students

.

5 0
3 years ago
Calculate the exact value of number one
Serga [27]

Answer:

1. a. (ii) 1/27

Step-by-step explanation:

1st one is already given, I will give you the answer to the second one,

³√27/9²

= 3/81

= 1/27

Answered by GAUTHMATH

7 0
3 years ago
Read 2 more answers
Solve for y. will give brainiest
hoa [83]

Answer:

y = 81°

Step-by-step explanation:

let the 5 th angle in the pentagon be x

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 5, then

sum = 180° × 3 = 540°

sum the angles and equate to 540

x + 95 + 125 + 116 + 105 = 540

x + 441 = 540 ( subtract 441 from 540 )

x = 99°

x and y are adjacent angles and supplementary, sum to 180° , that is

x + y = 180°

99° + y = 180° ( subtract 99° from both sides )

y = 81°

7 0
4 years ago
Can u help please. thank you
I am Lyosha [343]

Answer: the answer would be - 8/9

i used a calculator, so its correct.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
PLEASE HELP DUE TOMORROW
kow [346]
190-15=x
I believe?
I THINK THIS IS THE ANSWER
3 0
4 years ago
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