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bulgar [2K]
2 years ago
12

A segment with endpoints A (4, 2) and C (1, 5) is partitioned by a point B such that AB and BC form a 1:3 ratio. Find B.

Mathematics
1 answer:
Furkat [3]2 years ago
4 0

The coordinates of point B that divides the line in the ratio 1:3 is: ( C )(3.25, 2.75)

<h3>What is a line segment?</h3>

A line segment is formed by joining two points by a straight line.

Analysis:

The coordinates of point B(x,y) are gotten by the formula

x = \frac{px2 + qx1}{p+q}

y = \frac{py2 + qy1}{p + q}

where, x1 and y1 are coordinates of A and x2 and y2 are coordinates of B

are the values of the ratio p:q.

x1 = 4, x2 = 1 y1 = 5,  y2 = 2, p = 1, q = 3

x = \frac{(1 x 1) + (3 x 4)}{1 + 3} = 3.25

y = \frac{(1 x 5) + ( 3 x 2)}{1+3} = 2.75

coordinates of B are ( 3.25, 2.75)

In conclusion, the coordinates of point B are (3.25, 2.75)

Learn more about line segment : brainly.com/question/2437195

#SPJ1

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All the answers please
Nata [24]

Answer:

6. 4

7. 40

8. 10

9. 4

10. 21

Step-by-step explanation:

6 0
3 years ago
Assuming the amount of money college students spend on text books each semester is symmetrical with a mean of 500 and a standard
TiliK225 [7]

16% percent of the students paid MORE than Jane.

The mean(μ) of money spent on textbooks is 500

The standard deviation(σ) of money spent on textbooks is 50

Money paid by Jane for her books is $550

We will use this formula,

Ζ=x-μ/σ

To find: the percentage of students paid MORE than Jane for the textbooks

P(X > 550)=?

Solution:

P(X > 550)=1-P(X≤550)

=1-P(Ζ≤\frac{550-500}{50} )

=1-P(Ζ≤ 1)

=1-0.8413

=0.1587

≈16%

Therefore, 16% percent (approx) of the students paid MORE than Jane.

Learn more about mean and standard deviation here brainly.com/question/4388715

#SPJ4

3 0
2 years ago
n a beanbag toss game, Janelle scores 5 points for landing on a round target and 8 points for landing on a square target. She ne
Galina-37 [17]
The correct answer is 5x+8y>50
6 0
3 years ago
Read 2 more answers
Anyone want points or brainiest here is a question. What is 4-1! <br> :D
stira [4]

Answer:

it would 41 amiright?

7 0
3 years ago
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Find the midpoint of CD. <br><br> c =(-3,4) and D =(5,-8) <br><br> ([ ? ],[ ? ])
Leona [35]
(x1+x2)/2 , (y1+y2)/2 = midpoint

-3+5=2 2/2=1
x=1

4+-8=-4 -4/2=-2
y=-2

Midpoint: (1,-2)
5 0
3 years ago
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