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
Sveta_85 [38]
3 years ago
6

What is the ratio in which the point P(3/4,5/12) decides the line segment joining points A(1/2,3/2) and B(2,-5)

Mathematics
1 answer:
timama [110]3 years ago
6 0

Given:

The point P\left(\dfrac{3}{4},\dfrac{5}{12}\right) divides the line segment joining points A\left(\dfrac{1}{2},\dfrac{3}{2}\right) and B(2,-5).

To find:

The ratio in which he point P divides the segment AB.

Solution:

Section formula: If a point divides a segment in m:n, then the coordinates of that point are,

Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)

Let point P divides the segment AB in m:n. Then by using the section formula, we get

\left(\dfrac{3}{4},\dfrac{5}{12}\right)=\left(\dfrac{m(2)+n(\dfrac{1}{2})}{m+n},\dfrac{m(-5)+n(\dfrac{3}{2})}{m+n}\right)

\left(\dfrac{3}{4},\dfrac{5}{12}\right)=\left(\dfrac{2m+\dfrac{n}{2}}{m+n},\dfrac{-5m+\dfrac{3n}{2}}{m+n}\right)

On comparing both sides, we get

\dfrac{3}{4}=\dfrac{2m+\dfrac{n}{2}}{m+n}

\dfrac{3}{4}(m+n)=\dfrac{4m+n}{2}

Multiply both sides by 4.

3(m+n)=2(4m+n)

3m+3n=8m+2n

3n-2n=8m-3m

n=5m

It can be written as

\dfrac{1}{5}=\dfrac{m}{n}

1:5=m:n

Therefore, the point P divides the line segment AB in 1:5.

You might be interested in
(HELP PLS) A triangle has the coordinates
kari74 [83]
A(-4, -1)
B(-3, -3)
C(0, 2)
4 0
3 years ago
Someone be a kind soul and help me
8_murik_8 [283]

Answer:

yes

Step-by-step explanation:

7 0
3 years ago
Plz help asap geometry!!
strojnjashka [21]

Answer:

2688

Step-by-step explanation:

To determine the number of different meals he could order, multiply the numbers of choices together

4 appetizers *4 meats* 6 vegetables * 4 desserts* 7 drinks =2688

There are 2688 different meals

3 0
3 years ago
Read 2 more answers
at what rate of interest the compound amount on rs 8000 for 2 years is rs 10648? Please someones help me ​
alexandr402 [8]

Answer:

hope this helps and pls mark as brainliest

8 0
3 years ago
Fractions closer to 0 than 1
vagabundo [1.1K]

Answer:

Any legal fraction (denominator not equal to zero) with a numerator equal to zero has an overall value of zero. all have a fraction value of zero because the numerators are equal to zero

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • Two fifths of the students in your class are in the band. Of these, one fourth play the saxophone. If there are 30 students in y
    6·2 answers
  • Use transformations to solve the
    5·1 answer
  • 65,754.59 rounded to the nearest tenth
    7·2 answers
  • 10,14 and 18 can someone answer Pls pls
    8·1 answer
  • The braxton family goes ot for lunch and the price of the meal is $45. The sales tax on the meal is 6%and the family leaves a 20
    8·1 answer
  • A sphere and a cylinder have the same radius and height. The volume of the cylinder is 48 centimeters cubed. A sphere with heigh
    10·1 answer
  • 25x2 – 20x – 2 = -6
    8·1 answer
  • A company spent 32% of its annual budget developing a new machine. What fraction of the company’s budget was spent developing th
    12·1 answer
  • Find the measure of cd
    8·1 answer
  • 110.254 rounded to the nearest 10th
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!