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
vodka [1.7K]
3 years ago
7

Find the coordinates of point P that lies along the directed line segment AB in a 2:3 ratio given A (-2, 1), B (3, 4).

Mathematics
1 answer:
saul85 [17]3 years ago
5 0

Answer:

P(x,y) = (0,\frac{11}{5})

Step-by-step explanation:

Given

A = (-2,1)

B = (3,4)

m:n = 2:3

Required

Determine the coordinates of P

The coordinate of a point when divided into ratio is:

P(x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})

Where

(x_1,y_1) = (-2,1)

(x_2,y_2) = (3,4)

m:n = 2:3

This gives:

P(x,y) = (\frac{2 * 3 + 3 * -2}{2 + 3},\frac{2 * 4 + 3 * 1}{2 + 3})

P(x,y) = (\frac{6 - 6}{5},\frac{8 + 3}{5})

P(x,y) = (\frac{0}{5},\frac{11}{5})

P(x,y) = (0,\frac{11}{5})

You might be interested in
Miguel's irrigation tank for his large garden held 45.5 gallons before he began to fill it at a rate of 17 gallons per minute. B
egoroff_w [7]

Answer:

Step-by-step explanation:

6 0
3 years ago
A local little has a total of 60 players ,of whom 40%are right-handed how many are right handed
maks197457 [2]

Answer:

A

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
A right circular cone of radius 6 inches, side length of 16 inches and height of h inches. Which is closest to the height of a c
Elis [28]

Answer:

Height of cone (h) = 14.8 in (Approx)

Step-by-step explanation:

Given:

Radius of cone (r) = 6 in

Slant height (l) = 16 in

Find:

Height of cone (h) = ?

Computation:

Height of cone (h) = √ l² - r²

Height of cone (h) = √ 16² - 6²

Height of cone (h) = √ 256 - 36

Height of cone (h) = √220

Height of cone (h) = 14.832

Height of cone (h) = 14.8 in (Approx)

8 0
2 years ago
Please help me ill give brainiest
timofeeve [1]

Answer:    i think it is C

Step-by-step explanation: hpoe that helps!!!! :)

6 0
3 years ago
What is 35-14+27 i really need help pls anser fast
zhuklara [117]

Answer:

<em>B is the correct answer</em>, The first choice (which you chose) is the incorrect answer.

Step-by-step explanation:

6 0
2 years ago
Other questions:
  • What is 2351.28 in standard form
    12·1 answer
  • Please help me !!!!!!!!
    12·1 answer
  • Which equation has a maximum at y=5 for 0 is less than or equal to x which is less than or equal to 2pi
    11·1 answer
  • Joe is working on a school report in a word processor she wants to place an oversized image which is 30.51 cm wide so that it ap
    6·2 answers
  • 1. A studio apartment has a floor that measures 80 feet by 64 feet. A scale drawing of the floor on grid paper uses a scale of 1
    9·1 answer
  • G.O is going on a hike in the mountains on a hot summer day. He has 4/5 of water that he can split into 4 bottles. What fraction
    7·2 answers
  • Find an explicit formula for the arithmetic sequence -5, 13, 31,
    6·1 answer
  • Jeff, bill and Bernard are the three wealthiest people in the word. They share 80billion in the ratio 4:3:1 how much does bill g
    7·1 answer
  • (I just need help on b)
    12·1 answer
  • Simplify the following expression:
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!