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Elanso [62]
2 years ago
5

Given A= (-3,6) and B=(10,-8) what is the length of AB

Mathematics
1 answer:
raketka [301]2 years ago
8 0

\text{Given that,}\\\\A(x_1,y_1)  = (-3,6)~~ \text{and}~ B(x_2,y_2) =(10,-8)\\\\AB = \sqrt{(x_2-x_1)^2 + (y_2 -y_1)^2}\\\\~~~~~=\sqrt{(10+3)^2 + (-8-6)^2}\\\\~~~~~=\sqrt{13^2 + 14^2}\\\\~~~~~=\sqrt{365}\\\\~~~~~=19.105~ units

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Alex Ar [27]

Answer:

2990.54

Step-by-step explanation:

The answer would be 2990.54.

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2 years ago
Write an equation in point slope form for the line that passes through (-5,6) and (-3,-9).
Finger [1]

\bf (\stackrel{x_1}{-5}~,~\stackrel{y_1}{6})\qquad
(\stackrel{x_2}{-3}~,~\stackrel{y_2}{-9})
\\\\\\
slope = m\implies
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-9-6}{-3-(-5)}\implies \cfrac{-9-6}{-3+5}\implies -\cfrac{15}{2}


\bf \begin{array}{|c|ll}
\cline{1-1}
\textit{point-slope form}\\
\cline{1-1}
\\
y-y_1=m(x-x_1)
\\\\
\cline{1-1}
\end{array}\implies y-6=-\cfrac{15}{2}[x-(-5)]\implies y-6=-\cfrac{15}{2}(x+5)
\\\\\\
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8 0
3 years ago
A drink is made by mixing 650 ml of water with 150 ml of fruit juice.
Luda [366]
<h2>○=> <u>Correct answer</u> :</h2>

\boxed{\color{hotpink}\tt18.75\%} of the drink is fruit juice

<h3>○=> <u>Steps to derive correct answer</u> :</h3>

Quantity of water in a drink = 650 ml

Quantity of fruit juice in a drink = 150 ml

Total quantity of both items in the drink :

=\tt 650 + 150

\color{plum}=\tt 800 \: ml

Thus, the total quantity of both items in the drink = 800 ml

Let the percentage of of fruit juice in the drink be x%.

Which means :

=  \tt\frac{x}{100}  \times 800 = 150

= \tt \frac{x \times 800}{100}  = 150

=\tt  \frac{800x}{100}  = 150

=\tt 8x = 150

=\tt x =  \frac{150}{8}

\hookrightarrow\color{plum} \bold{x = 18.75\%}

Then, the percentage of water in the drink :

= \tt100 - 18.75

\color{plum}= \tt81.25\%

Thus, the percentage of water in the drink = 81.25%

<h3>○=> <u>Therefore</u> :</h3>

▪︎Percentage of fruit juice in the drink = 18.75%

▪︎Percentage of water in the drink = 81.75%

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