A polygon has the following coordinates: A(3,1), B(5,3), C(2,5), D(-1,5), E(-4,3), F(-2,1). Find the length of DC.
nlexa [21]
To find the length of a line given two points, we are going to use the distance formula, which is defined below:
![D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}](https://tex.z-dn.net/?f=D%20%3D%20%5Csqrt%7B%28x_2%20-%20x_1%29%5E2%20%2B%20%28y_2%20-%20y_1%29%5E2%7D)
(
and
are the two points)
The points in this problem are (2, 5) and (-1, 5). We can find the distance of DC by substituting these values into the distance formula and simplifying, as shown below:
![D = \sqrt{(-1 - 2)^2 + (5 - 5)^2](https://tex.z-dn.net/?f=D%20%3D%20%5Csqrt%7B%28-1%20-%202%29%5E2%20%2B%20%285%20-%205%29%5E2)
- Substitute values into formula
![D = \sqrt{(-3)^2}](https://tex.z-dn.net/?f=D%20%3D%20%5Csqrt%7B%28-3%29%5E2%7D)
- Combine like terms and then simplify
to 0
![D = \sqrt{9}](https://tex.z-dn.net/?f=D%20%3D%20%5Csqrt%7B9%7D)
- Compute
![(-3)^2 = 9](https://tex.z-dn.net/?f=%28-3%29%5E2%20%3D%209)
![D = 3](https://tex.z-dn.net/?f=D%20%3D%203)
- Compute
![\sqrt{9} = 3](https://tex.z-dn.net/?f=%5Csqrt%7B9%7D%20%3D%203)
The length of DC is 3.
Answer:
Step-by-step explanation:
281-28.5=252.5
252.5 divided by 0.4=631.25
X=631.25
Answer:
48
Step-by-step explanation:
i am a smart
What three cards I don’t see anything and this is just an statement
7/16 should be the answer