For this question, we are concerned with the movement of an object
along a path in the plane. We are assuming that the plane is a
coordinate plane and the object starts at the point. As the object
moves along the path, each point on that path has two coordinates.
The coordinates depend on the distance traveled along the path. Let
us call this distance S, the length of the path from the origin to a point
P on the path.
What value of s yields the coordinate (3, 4)?
What value of s yields the coordinate (9, 1)?
x (6) =
y (7) =

Respuesta :

Answer:

We have to questions here where we need to find the distance from the origin to each given point.

For (3,4).

The formula for distance is

[tex]s=\sqrt{x^{2}+y^{2} }[/tex]

[tex]s_{(3,4)}=\sqrt{3^{2}+4^{2} } =\sqrt{9+16}=\sqrt{25}\\ s_{(3,4)}=5[/tex]

Therefore, the value s that yields the coordinate (3,4) is 5 units.

For (9,1).

[tex]s_{(9,1)}=\sqrt{9^{2}+1^{2} } =\sqrt{81+1}=\sqrt{82}\\ s_{(9,1)} \approx 9.05[/tex]

Therefore, the value s that yields the coordinate (9,1) is 9.05 units, approximately.

The values of s that yield the coordinates (3.4) and (9,1) are: 5 and 9.1, respectively

The coordinates are given as:

(3,4) and (9,1)

The single value that yields the coordinates is calculated as:

[tex]s = \sqrt{x^2 + y^2}[/tex]

For (3,4), we have:

[tex]s = \sqrt{3^2 + 4^2} = 4[/tex]

For (9,1), we have:

[tex]s = \sqrt{9^2 + 1^2} = 9.1[/tex]

Hence, the values of s that yield the coordinates (3.4) and (9,1) are: 5 and 9.1, respectively

Read more about coordinates at:

https://brainly.com/question/17206319