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4 years ago

Find the distance between the 2 points (6, - 4) and (2, - 7). Please show me how you found it.

1 answer:

5 0

$\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({{ 6}}\quad ,&{{ -4}})\quad 
% (c,d)
&({{ 2}}\quad ,&{{ -7}})
\end{array}\qquad 
% distance value
d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}
\\\\\\
d=\sqrt{[2-6]^2+[-7-(-4)]^2}\implies d=\sqrt{(2-6)^2+(-7+4)^2}$

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eimsori [14]

Answer:

B. 8x - 3

C. 8x + 12

Step-by-step explanation:

64 is a perfect square, meaning it has two factors that are identical (8), and 36 is also a perfect square, but in this case, you don't see two 6's in the answer choices.

12 and -3 give you a product of -36, so your answer choices would be:

(8x - 3) (8x + 12)

If you're unsure, you can multiply them together to check if they come out to the unfactorized expression.

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4 years ago

a woodworker wants to cut a board that is 6.432 feet long into 4 equal-length pieces. How long will each of the cut boards be?

ValentinkaMS [17]

Answer:

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Step-by-step explanation:

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3 years ago

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BlackZzzverrR [31]

Answer:

20.922

Step-by-step explanation:

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Multiply that by 3, obtaining 5.922.

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3 years ago

3 inches to the nearest 1/2 inch

DaniilM [7]

Answer:

Step-by-step explanation:

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3 years ago

Suppose that you can only use the set of small letters characters (a-z) and odd numbers (1, 3, 5, 7, 9) to set a password. What

Flauer [41]

Answer:

$31^8$

Step-by-step explanation:

To create a password, you need to select 8 characters (not necessarily different) from the set {1,3,5,7,9,a,b,c,...,z}. Now, this set has 31 elements: the 26 lowercase letters from the alphabet and the 5 odd numbers (1,3,5,7,9).

Now, there are 31 ways to choose the first character, it can be any element from our set. The second character can also be chosen in 31 ways, because there are not restrictions (repetitions, specific characters, etc). Similarly, the third, fourth, fifth, sixth, seventh and eighth characters have 31 possibilities each one.

The number of passwords is the number of ways of selecting the 8 characters, then by the multiplication principle the number of passwords is 31×31×31×31×31×31×31×31=31^8.

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4 years ago