Mathematics, 24.12.2019 12:31 lindseyklewis1p56uvi

What is the y-coordinate of the point that divides the directed line segment from j to k into a ratio of 5: 1?

What is the y-coordinate of the point that divides the directed line segment from j to k into a rati

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Answer from: kayleahrayne

Answer-

The y-coordinate of the point that divides the directed line segment from J to K into a ratio of 5:1 is 0.

Solution-

Given J (1, -10) and K (7, 2)

Let us assume that, point L divides the directed line segment from J to K into a ratio of 5:1

From the properties of coordinate geometry we know that,

The coordinates of point that divides the line joining (x₁, y₁), (x₂, y₂) in m:n, are

$=(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n})$

Now, putting the respective values,

$=(\dfrac{5\cdot 7+1\cdot 1}{5+1},\dfrac{5\cdot 2+1\cdot (-10)}{5+1})$

$=(\dfrac{35+1}{6},\dfrac{10-10}{6})$

$=(\dfrac{36}{6},\dfrac{0}{6})$

=(6,0)

Therefore, the y-coordinate of the point that divides the directed line segment from J to K into a ratio of 5:1 is 0.

What is the y-coordinate of the point that divides the directed line segment from j to k into a rati

Answer from: stressedmolly632

The y-coordinate of the point that divides the directed line segment from J to K into a ratio of 5:1 is $\boxed0.$

Further explanation:

The coordinates of point that divides the line segment into m:n ratio can be obtained as follows,

$\boxed{{\text{Coordinates of point}} = \left( {\frac{{m{x_2} + n{x_1}}}{{m + n}},\frac{{m{y_2} + n{y_1}}}{{m + n}}} \right)}$

Given:

Explanation:

The coordinate of point J is $\left( { 1,-10}\right)$

The coordinate of point K is $\left( { 7,2} \right)$

Consider the point that divides the line segment into 5:1 ratio as $P\left( {x,y} \right).$

The coordinates of point that divides the line segment into 5:1 ratio can be calculated as follows,

$\begin{aligned}{\text{Coordinates of P}}&= \left( {\frac{{5\left( 7 \right) + 1\left( 1 \right)}}{{5 + 1}},\frac{{5\left( 2 \right) + 1\left( { - 10} \right)}}{{5 + 1}}} \right)\\&=\left( {\frac{{35 + 1}}{6},\frac{{10 - 10}}{6}} \right)\\&= \left( {\frac{{36}}{6},\frac{0}{6}} \right)\\&= \left( {6,0} \right)\\\end{aligned}$

The y-coordinate of the point that divides the directed line segment from J to K into a ratio of 5:1 is $\boxed0.$

Learn more:

1. Learn more about inverse of the functionhttps://.

2. Learn more about equation of circle .

3. Learn more about range and domain of the function

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Coordinate Geometry

Keywords: y-coordinate, point, divides the directed line, line segment, J to K, ratio, 2:3 ratio, -6, coordinates.

Answer from: Quest

part a

in a city ice cream is mostly only bought when the temperature is very high as ice cream cools down our

so we can derive the conclusion that as the temperature increases the number of ice creams sold also increases

part b

y intercept is 5

slope is 2

happy to

pls mark as brainliest

Iwill give brainliest if you answer correctly part a: in your own words, describe the relationship

Answer from: Quest

step-by-step explanation:

73-22=51 the mass number minus the amount of protons gives you the amount of neutrons

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