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pav-90 [236]
3 years ago
12

Please help it’s due today. Stay safe! :) (:

Mathematics
1 answer:
Naya [18.7K]3 years ago
8 0

Answer:

Imani

Step-by-step explanation:

It izz wat it izzzz!!!

:)

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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)
timama [110]

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.

6 0
3 years ago
Which fractions have a LCD of 84? A. 3/4, 1/7, 1/6 B. 2/3, 1/6, 1/42 C. 2/27, 1/7, 1/3 D. 2/3, 1/6, 1/7
ExtremeBDS [4]

Answer:

A. \frac{3}{4} , \frac{1}{7} , \frac{1}{6}

Step-by-step explanation:

4 × 16 = 84

7 × 12 = 84

6 x 14 = 84

Hope this helps!

5 0
3 years ago
Read 2 more answers
Fx) = 3x+2<br> What is f(5)?
Alexeev081 [22]

Answer:

the correct answer is 17

4 0
2 years ago
To make 100g of jam you need 57g
asambeis [7]

Answer:

The ratio of blackberries to sugar is 13 : 56 or 13/56, which is already in the in the simplest form.

Step-by-step explanation:

As we have to make 100g of jam

so

  • Amount of strawberries = 57g
  • Amount of blackberries = 13g

Thus

The amount of sugar needs to be added to the mixture: 100 - (57 - 13) = 56g

Therefore, the ratio of blackberries to sugar is 13 : 56 or 13/56, which is already in the in the simplest form.

8 0
3 years ago
What’s 39,204 divided by 54
ozzi

Answer:

726

Step-by-step explanation:

39204/54=726

7 0
3 years ago
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