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
ad-work [718]
3 years ago
8

Given the points a ( -2,4 ) and b(7,-2) find the coordinates of the point p on the directed like segment ab that partitions ab i

n the ratio 1:2
Mathematics
1 answer:
umka2103 [35]3 years ago
4 0

9514 1404 393

Answer:

  p = (1, 2)

Step-by-step explanation:

We want ...

  (p -a)/(b -p) = 1/2

  2(p -a) = b -p . . . . . cross multiply

  3p = b +2a . . . .. . . rearrange

  p = (b +2a)/3

  p = ((7, -2) +2(-2, 4))/3 = (7 -4, -2 +8)/3 = (3, 6)/3

  p = (1, 2)

You might be interested in
A farmer wants to enclose a rectangular field that borders a river with 400 feet of fencing material. if the farmer does not fen
ICE Princess25 [194]
Let each side perpendicular to the river be "x".Then the side parallel to the river is "400-2x".
The formula for Area = width*length
A(x) = x(400-2x)
A(x) = 400x - 2x^2
You have a quadratic with a = -2 and b = 400
Maximum Area occurs where x = -b/2a = -400/(2*-2) = 100 ft. (width)
length = 400-2x = 400-2*100 =  200 ft (length)
3 0
3 years ago
Which figure has 2 pairs of parallel sides 2 pairs of sides of equal length and 4 right angle
elixir [45]
The figure is a parallelogram.
3 0
4 years ago
How to work it out<br> And who drove farther and how many miles farther
OlgaM077 [116]
Easy, just divide
kelly=440mi/8hr=220mi/4hr=110mi/2hr=55mi/1hr
alberto=468mi/9hr=156mi/3hr=52mi/1hr

55>52

kelly drove 55mi in 1 hour
55-52=3
she drove 3 miles more  in 1 hour
5 0
3 years ago
A surveyor starts at the southeast corner of a lot and
elena-s [515]

Find the difference vertically( North and South) and the difference horizontally ( East and West)

Then use  the Pythagorean Theorem.

600 North - 200 South = 400 m

400 West - 100 East = 300 m

Now using the Pythagorean Theorem;

400^2 + 300^2 = total displacement^2

Total displacement^2 = 160,000 + 90,000

Total displacement^2 = 250,000

Total displacement = √250,000

Total displacement = 500 m

7 0
3 years ago
Can someone please help me with this question
Tanzania [10]

Answer:

B) [1, 4, 7]

Step-by-step explanation:

Substitute 0 in

f(0) = 3(0) + 1

Multiple

f(0) = 0 + 1

f(0) = 1

Substitute 1 in

f(1) = 3(1) + 1

f(1) = 3 + 1

f(1) = 4

Substitute 2 in

f(2) = 3(2) + 1

2 = 6 + 1

f(2) = 7

8 0
3 years ago
Read 2 more answers
Other questions:
  • What are the solutions if 1/4x^2 =-1/2x+2?
    14·2 answers
  • 500+500+500+1,000+4,000+10,000
    10·2 answers
  • tom sold half of his comic books and then bought six more. he now has 12. how many did he begin with?
    10·1 answer
  • a book is 1/2 of an inch thick. How many of these books will fit into a shelf that is 5 3/4 inches wide?
    9·1 answer
  • Sam wrote this equation for the area of a parallelogram.
    6·2 answers
  • Solve for m.<br> 9 = m/10
    15·2 answers
  • Brainliest to whoever is correct!
    10·1 answer
  • The area of square ABCD is 144 square units. The area of square EFGH is 64 square units. H∈ AB and G∈ BC . The blue area is thre
    13·1 answer
  • What is the mass of 1.50 moles of Cl ?​
    15·1 answer
  • GEOMETRY QUESTION NEED HELP ASAP 50 POINTS PLEASE PUT FULL ANSWER!!!!​ 2 part question find the answer to the one in the picture
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!