Point R is at (3, 1.3) and Point T is at (3, 2.4) on a coordinate grid. The distance between the two points is ____. (Input numbers and decimal point only, such as 8.2.)

Respuesta :

Answer:  The required distance between the two points R and T is 1.1 units.

Step-by-step explanation:  Given that point R is at (3, 1.3) and Point T is at (3, 2.4) on a coordinate grid.

We are to find the distance between the two points R and T.

Distance formula :

The distance between the two points A(a, b) and B(c, d) is given by

[tex]d=\sqrt{(c-a)^2+(d-b)^2}.[/tex]

Therefore, the distance between the points R and T is given by

[tex]d=\sqrt{(3-3)^2+(2.4-1.3)^2}=\sqrt{0^2+1.1^2}=\sqrt{1.1^2}=1.1.[/tex]

Thus, the required distance between the two points R and T is 1.1 units.

The distance is 1.1 units, which is the distance between point R is at (3, 1.3) and Point T is at (3, 2.4) on a coordinate grid.

What is a distance formula?

It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.

We have two points such that:

R (3, 1.3) and T (3, 2.4)

The distance formula for finding the distance between two points is:

If the points are [tex]\rm (x_1, y_1) \ \ and \ \ (x_2, y_2)[/tex]

[tex]\rm D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Here:

[tex]\rm x_1= 3\\\rm y_1= 1.3\\\rm x_2= 3\\\rm y_2= 2.4\\[/tex]

Then,

[tex]\rm D = \sqrt{(3-3)^2+(2.4-1.3)^2}[/tex]

[tex]\rm D = \sqrt{(1.1)^2}[/tex]

D = √1.21

D = 1.1 units

Thus, the distance is 1.1 units, which is the distance between point R is at (3, 1.3) and Point T is at (3, 2.4) on a coordinate grid.

Learn more about the distance formula here:

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