Answer:
Approximately 7.8 units
Step-by-step explanation:
To find the distance between any two points, we can use the distance formula:
![d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
From the graph, we can see that A is (0,0). Let's let this be x₁ and y₁.
B is (-5,6). Let's let this be x₂ and y₂. So, substitute:
![d=\sqrt{(-5-0)^2+(6-0)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28-5-0%29%5E2%2B%286-0%29%5E2%7D)
Simplify:
![d=\sqrt{(-5)^2+(6)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28-5%29%5E2%2B%286%29%5E2%7D)
Square:
![d=\sqrt{25+36}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B25%2B36%7D)
Add:
![d=\sqrt{61}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B61%7D)
Take the square root. Use a calculator:
![d\approx7.8](https://tex.z-dn.net/?f=d%5Capprox7.8)
So, the distance between them is about 7.8 units.
And we're done!
Answer:
12 cows - 48 legs
4 ducks- 8 legs
- there are many different numbers you can do but if you want to change the numbers and have more ducks then: for every one cow you take away two more ducks.
Step-by-step explanation:
22 total animals
56 total legs
ducks have 2 legs
cows have 4 legs
12 times 4 = 48 ( 12 cows with 4 legs each cow = 48 legs)
4 times 2 = 8 ( 4 ducks with 2 legs each duck = 8 legs)