Question

Find the distance between two points C(-6,5) and D(-3,1)

Answer 1

To calculate the distance between the points C(-6,5) and D(-3,1), we use the distance formula which results in a distance of 5 units.

Step-by-step explanation:

We need to find the distance between two points C(-6,5) and D(-3,1). We'll use the distance formula which is derived from the Pythagorean theorem and is given by = √((x2 - x1)² + (y2 - y1)²). Plugging in our values, we have:

Distance CD = √((-3 - (-6))² + (1 - 5)²)

Distance CD = √((3)² + (-4)²)

Distance CD = √(9 + 16)

Distance CD = √25

Distance CD = 5 units

So, the distance between points C and D is 5 units.

Answer 2

The formula of a distance between two points:

`d=√((x_2-x_1)^2+(y_2-y_1)^2)`

We have:

`C(-6,\ 5)\to x_1=-6,\ y_1=5\\D(-3,\ 1)\to x_2=-3,\ y_2=1`

substitute:

`d=√((-3-(-6))^2+(1-5)^2)=√(3^2+(-4)^2)=√(9+16)=√(25)=5`

Answer: 5 units.