Hollis house is located at (-1,4). she can walk in a straight line to get to jedds house. a fast food resturant is located at (-3,2) and partitions the way from hollis house to jedds house by a ration of 1: 2 find the coordinates of jedds house

The coordinates of Jedds house are (-7 , -2)

Step-by-step explanation:

* Lets explain how to solve the problem

- If point (x , y) divide the distance between the two points

  and at the ratio

  , then

  and

* Lets solve the problem

∵ Hollis house is located at (-1 , 4)

∴ = (-1 , 4)

∵ She can walk in a straight line to get to Jedds house

∵ The restaurant is located at (-3 , 2) and partitions the way from

   Hollis house to Jedds house by a ration of 1 : 2

∴ (x , y) = (-3 , 2)

∴ = 1 : 2

- Lets consider that Jedds house is located at

∴

∴

- Multiply both sides by 3

∴

- Add 2 for both sides

∴

∴

∴

- Multiply both sides by 3

∴

- Subtract 8 for both sides

∴

∴ The coordinates of Jedds house are (-7 , -2)

Step-by-step explanation:

Let:

The area of the cardboard can be calculated using the formula to find the area of a rectangle:

The area of the new cardboard would be:

So:

Solving for h:

Therefore, the dimensions of the initial cardboard are:

Translation:

Sea:

El área de la cartulina se puede calcular usando la fórmula para encontrar el área de un rectángulo:

El área de la nueva cartulina sería:

Entonces:

Resolviendo para h:

Por lo tanto, las dimensiones de la cartulina inicial son: