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
Volgvan
3 years ago
13

Given the points A(-10, -4) and B(14, 4), find the coordinates of the point P on the directed line segment AB that partitions AB

in the ratio 5:3.
Mathematics
1 answer:
anastassius [24]3 years ago
3 0

Answer:

P(5, 1)

Step-by-step explanation:

Segment AB is to be partitioned in a ratio of 5:3. That means the ratio of the lengths of AP to PB is 5:3. We need to find the ratio of the lengths of AP to AB.

AP/PB = 5/3

By algebra:

PB/AP = 3/5

By a rule of proportions:

(PB + AP)/AP = (3 + 5)/5

PB + AP = AP + PB = AB

AB/AP = 8/5

AP/AB = 5/8

The first part of the segment is 5/8 of the length of the segment, and the second part of the segment has length of 3/8 of the length of segment AB.

Point P is located 5/8 of the distance from point A to point B. The x-coordinate of point P is 5/8 of the difference in x-coordinates added to the x-coordinate of point A. The y-coordinate of point P is 5/8 of the difference in y-coordinates added to the y-coordinate of point A.

x-coordinate:

difference in coordinates: |14 - (-10)| = |14 + 10| = 24

5/8 of 24 = 5/8 * 24 = 15

Add 15 to the x-coordinate of point A: -10 + 15 = 5

x-coordinate of point P: 5

y-coordinate:

difference in coordinates: |4 - (-4)| = |4 + 4| = 8

5/8 of 8 = 5/8 * 8 = 5

Add 5 to the y-coordinate of point A: -4 + 5 = 1

y-coordinate of point P: 1

Answer: P(5, 1)

You might be interested in
ANSWER THE QUESTION FOR BRAINLIESTANSWER THE QUESTION FOR BRAINLIEST
rewona [7]

Answer:

A) Ed

Explanation: How i got it was by first looking at what Eric’s weight loss program, I then guessed he lost about the same amount of weight each week (1.5), i then did that times 4 since that’s how many weeks were recorded on the chart which gave me 6. I then looked at the chart again and saw that Ed first started with the weight 205 and by week 4 his weight was 197, I then did 205-197 which equals 8, I then decided that Ed lost more weight.

3 0
3 years ago
Read 2 more answers
A box that has a width of 32 inches and a length of 60 inches is used to ship
Kisachek [45]
D.68

A squared plus b squared equals c squared and so add the two lengths given and square them which gives you the hypotenuse squared so then find the square root of your result which is 68
6 0
3 years ago
Help plz!!<br> <img src="https://tex.z-dn.net/?f=x%5E2-x-6%3D0" id="TexFormula1" title="x^2-x-6=0" alt="x^2-x-6=0" align="absmid
Black_prince [1.1K]

Answer:

x = - 2, x = 3

Step-by-step explanation:

Given

x² - x - 6 = 0

Consider the factors of the constant term (- 6) which sum to give the coefficient of the x- term (- 1)

The factors are + 2 and - 3 , since

2 × - 3 = - 6 and 2 - 3 = - 1 , then

(x + 2)(x - 3) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 3 = 0 ⇒ x = 3

8 0
2 years ago
Read 2 more answers
What is the greatest negative value of x such that the square root of 50-x<br> is an integer?
ira [324]
It should be negative one  (-1)





8 0
3 years ago
Please answer with clear instructions so that i can apply this to other questions
Mrrafil [7]

Answer:

1/6

Step-by-step explanation:

-1/m

-1/-6

1/6

4 0
3 years ago
Other questions:
  • Help? this is exterior angle theorem how do i find it?​
    8·2 answers
  • Equipment acquired at the beginning of the year at a cost of $340,000 has an estimated residual value of $45,000 and an estimate
    9·2 answers
  • What expression represents 7 times the sum of a number and 8?
    13·2 answers
  • A number written as the sum of the value of its digits is written in​
    10·1 answer
  • The answer please and thank you
    11·1 answer
  • 25(0.3x-4)-5(1.5x-6)+100(13/4) simplify the following expression and evaluate for x=0.345
    13·1 answer
  • 3x-15 complementary angles find the sum of x
    11·1 answer
  • Find the equation of the line that contains the point (21,27) and is parallel to the x-axis.
    10·1 answer
  • 6/9 = ayuden porfa se los agradeceria​
    11·1 answer
  • NO LINKS OR ASSESSMENT!!!<br><br>Part 2: Domain and Range of Graphs​
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!