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3 years ago

What is the length of the longest side of a triangle that has the vertices (-5, 6), (-5, -2), and (1, -2)?

Mathematics

1 answer:

pshichka [43]3 years ago

6 0

Check the picture below.

$\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&&(~ -5 &,& 6~) 
% (c,d)
&&(~ 1 &,& -2~)
\end{array}~~~ 
% distance value
d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}
\\\\\\
d=\sqrt{[1-6]^2+[-2-(-5)]^2}\implies d=\sqrt{(1-6)^2+(-2+5)^2}
\\\\\\
d=\sqrt{(-5)^2+3^2}\implies d=\sqrt{25+9}\implies d=\sqrt{34}$

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Tammy uses 1 3/4 cups of laundry detergent. The number of loads is 4

<u>Solution:</u>

Given that, Tammy uses 1 3/4 cups of laundry detergent per load.

When she was finished doing laundry one day.

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We have to find how many loads did she do?

Now, we know that, Total cups used can be written as:

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$\begin{array}{l}{\text { Then, number of loads } \times 1 \frac{3}{4}=7} \\\\ {\text { Number of loads } \times \frac{1 \times 4+3}{4}=7} \\\\ {\text { Number of loads } \times \frac{7}{4}=7} \\\\ {\text { Number of loads }=7 \times \frac{4}{7}=4}\end{array}$

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3 years ago

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diamong [38]

Answer:

Step-by-step explanation:

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MatroZZZ [7]

Answer:

$\large\boxed{x=-\sqrt{10}\ or\ x=\sqrt{10}}$

Step-by-step explanation:

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Fofino [41]

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3 years ago