Answer:
Conversion rates US Dollar / Mexican Peso
10 USD 209.37500 MXN
20 USD 418.75000 MXN
50 USD 1046.87500 MXN
100 USD 2093.75000 MXN
Answer:
4.19
Step-by-step explanation:
If rounded to the nearest dime 4.20
nice
Answer:
-2x-5y+8z+4.5=0
Step-by-step explanation:
Let (x,y,z) be the coordinates of the point lying on the needed plane. This point is equidistant from the points (-3, 5, -4) and (-5, 0, 4), so
![d_1=\sqrt{(x-(-3))^2+(y-5)^2+(z-(-4))^2}=\sqrt{(x+3)^2+(y-5)^2+(z+4)^2}\\ \\d_2=\sqrt{(x-(-5))^2+(y-0)^2+(z-4)^2}=\sqrt{(x+5)^2+y^2+(z-4)^2}\\ \\d_1=d_2\Rightarrow \sqrt{(x+3)^2+(y-5)^2+(z+4)^2}=\sqrt{(x+5)^2+y^2+(z-4)^2}\\ \\(x+3)^2+(y-5)^2+(z+4)^2=(x+5)^2+y^2+(z-4)^2\\ \\x^2+6x+9+y^2-10y+25+z^2+8z+16=x^2+10x+25+y^2+z^2-8z+16\\ \\-4x-10y+16z+9=0\\ \\-2x-5y+8z+4.5=0](https://tex.z-dn.net/?f=d_1%3D%5Csqrt%7B%28x-%28-3%29%29%5E2%2B%28y-5%29%5E2%2B%28z-%28-4%29%29%5E2%7D%3D%5Csqrt%7B%28x%2B3%29%5E2%2B%28y-5%29%5E2%2B%28z%2B4%29%5E2%7D%5C%5C%20%5C%5Cd_2%3D%5Csqrt%7B%28x-%28-5%29%29%5E2%2B%28y-0%29%5E2%2B%28z-4%29%5E2%7D%3D%5Csqrt%7B%28x%2B5%29%5E2%2By%5E2%2B%28z-4%29%5E2%7D%5C%5C%20%5C%5Cd_1%3Dd_2%5CRightarrow%20%5Csqrt%7B%28x%2B3%29%5E2%2B%28y-5%29%5E2%2B%28z%2B4%29%5E2%7D%3D%5Csqrt%7B%28x%2B5%29%5E2%2By%5E2%2B%28z-4%29%5E2%7D%5C%5C%20%5C%5C%28x%2B3%29%5E2%2B%28y-5%29%5E2%2B%28z%2B4%29%5E2%3D%28x%2B5%29%5E2%2By%5E2%2B%28z-4%29%5E2%5C%5C%20%5C%5Cx%5E2%2B6x%2B9%2By%5E2-10y%2B25%2Bz%5E2%2B8z%2B16%3Dx%5E2%2B10x%2B25%2By%5E2%2Bz%5E2-8z%2B16%5C%5C%20%5C%5C-4x-10y%2B16z%2B9%3D0%5C%5C%20%5C%5C-2x-5y%2B8z%2B4.5%3D0)
Combinations = n! / (n - r)! r!
![C\text{ = }\frac{n!}{(n-r)!\text{ r!}}\text{ }](https://tex.z-dn.net/?f=C%5Ctext%7B%20%3D%20%7D%5Cfrac%7Bn%21%7D%7B%28n-r%29%21%5Ctext%7B%20r%21%7D%7D%5Ctext%7B%20%7D)
In this case:
n = 4
r = 3
Combinations = 4! /(4-3)! 3! = 24/(1)(6) = 24/6 = 4
Answer:
4 arrangements