Answer:
<h3>d =3√2</h3>
Step-by-step explanation:
![(2,4)=(x_1,y_1)\\(5,1,)=(x_2,y_2)\\\\d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\\\\d==\sqrt{\left(5-2\right)^2+\left(1-4\right)^2}\\\\d=\sqrt{3^2+3^2}\\\\d=\sqrt{3^2\times\:2}\\\\d=\sqrt{2}\sqrt{3^2}\\\\\mathrm{Apply\:radical\:rule\:}\sqrt[n]{a^n}=a,\:\quad \mathrm{\:assuming\:}a\ge 0\\\\\sqrt{3^2}=3\\d =3\sqrt{2}\\](https://tex.z-dn.net/?f=%282%2C4%29%3D%28x_1%2Cy_1%29%5C%5C%285%2C1%2C%29%3D%28x_2%2Cy_2%29%5C%5C%5C%5Cd%3D%5Csqrt%7B%5Cleft%28x_2-x_1%5Cright%29%5E2%2B%5Cleft%28y_2-y_1%5Cright%29%5E2%7D%5C%5C%5C%5Cd%3D%3D%5Csqrt%7B%5Cleft%285-2%5Cright%29%5E2%2B%5Cleft%281-4%5Cright%29%5E2%7D%5C%5C%5C%5Cd%3D%5Csqrt%7B3%5E2%2B3%5E2%7D%5C%5C%5C%5Cd%3D%5Csqrt%7B3%5E2%5Ctimes%5C%3A2%7D%5C%5C%5C%5Cd%3D%5Csqrt%7B2%7D%5Csqrt%7B3%5E2%7D%5C%5C%5C%5C%5Cmathrm%7BApply%5C%3Aradical%5C%3Arule%5C%3A%7D%5Csqrt%5Bn%5D%7Ba%5En%7D%3Da%2C%5C%3A%5Cquad%20%5Cmathrm%7B%5C%3Aassuming%5C%3A%7Da%5Cge%200%5C%5C%5C%5C%5Csqrt%7B3%5E2%7D%3D3%5C%5Cd%20%3D3%5Csqrt%7B2%7D%5C%5C)
Answer:
Purse A will contain 2400 (by magic) and Purse B will have 64 pennies
Step-by-step explanation:
how this happened is, by magic Purse A went up by 200 every day for 7 days a week. 7*200 would be 1400 so you add that to the money from today and get 2400. Purse B somehow got from 1 penny to 64 in 7 days. The rule on this is to multiply by 2 every day. 1,2,4,8,16,32 and 64. have fun with your magic :3
Deductive reasoning is consists of the axioms<span> (or </span>axiom schemata<span>) and </span>rules of inference<span> that can be used to </span>derive theorems<span> of the system</span>
Theorem is the name given to a statement that has been proven by deductive reasoning. <span>The theorem is obtained with the rules of a </span>deductive system on the basis of <span>previously established statements, for example other theorems.</span>
The number of license plates is 11232000
<h3>How to determine the number of license plates?</h3>
The given parameters are:
Characters = 6 i.e. 3 letters and 3 digits
Letters = 3 different letters
Digits = 3 different digits
There are 10 different digits and 26 different letters.
Since each character is different from the other, then we have:
Digits = 10, 9 and 8
Characters = 26, 25 and 24
The number of license plates is then calculated as:
n = 10 * 9 * 8 * 26 * 25 * 24
Evaluate the product
n = 11232000
Hence, the number of license plates is 11232000
Read more about permutation at:
brainly.com/question/11732255
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