ccastillo30000
contestada

Look at points C and D on the graph:

A coordinate plane graph is shown. Point C is at 1 comma 3. Point D is at 4 comma negative 3. A segment connects the two points.

What is the distance (in units) between points C and D? Round your answer to the nearest hundredth.

Respuesta :

irspow
The distance between any two points can be found using an extension of the Pythagorean Theorem, called the "distance formula".

d^2=(y2-y1)^2+(x2-x1)^2

d^2=(-3-3)^2+(4-1)^2

d^2=36+9

d^2=45

d=√45

d=√(9*5)

d=3√5 units  (exact)

d≈6.71 units  (to nearest hundredth of a unit)
MrRoyal

The distance between two points is the number of units between them

The distance between points C and D is 6.71 units

The coordinates of C and D are:

[tex]\mathbf{C = (1,3)}[/tex]

[tex]\mathbf{D = (4,-3)}[/tex]

So, the distance between points C and D is calculated using the following distance formula

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

Substitute values for x1, x2, y1 and y2

[tex]\mathbf{Distance = \sqrt{(1-4)^2 + (3--3)^2}}[/tex]

[tex]\mathbf{Distance = \sqrt{(-3)^2 + (6)^2}}[/tex]

[tex]\mathbf{Distance = \sqrt{45}}[/tex]

[tex]\mathbf{Distance = 6.71}[/tex]

Hence, the distance between points C and D is approximately 6.71 units

Read more about distance at:

https://brainly.com/question/2669795

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