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3 years ago

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1) Which variable did you plot on the x-axis, and which variable did you plot on the y-axis?

1 answer:

Liula [17]3 years ago

3 0

Answer:

Step-by-step explanation:

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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.

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3 years ago

A parachutist's speed during a free fall reaches 180 kilometers per hour. What is this speed in meters per second? At this speed

Darya [45]

Answer:

Speed of the parachutist is meters per second $2.083$ meter per second

Distance travelled in 2 seconds $4.167$ meter

Step-by-step explanation:

Speed of the parachutist is kilometers per hour = 180

Speed of the parachutist is meters per second $\frac{180*1000}{24*60*60} = 2.083$ meter per second

Distance travelled in 2 seconds $2.083 *2 = 4.167$ meter

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3 years ago

What is the ratio of 3 1/2 inches to 4 2/3 feet in simplest form

Elden [556K]

3 1/2= 3.5 inches and 4 2/3 feet is 56 inches. Now put 3.5/56=0.0625

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3 years ago

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Given ABC = DEF and the perimeter of DEF =38, find BC

ddd [48]

Answer: BC = 15

Step-by-step explanation:

Since the triangles are congruent, that means they are the same. So side AB = side EF. Since we know side FD is 15, that means side BC= 15

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