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Zielflug [23.3K]
3 years ago
13

Find the perimeter of the shape below r(-1,3) s(-2,7) t(2,5) u(-1,3)

Mathematics
1 answer:
meriva3 years ago
7 0
The perimeter of any figure, is just all sides summed up

now, sides RU and UT, you can pretty much see how long they are right off the grid, just count the grid units

now SR and ST, just use the distance equation

\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%  (a,b)
S&({{ -2}}\quad ,&{{ 7}})\quad 
%  (c,d)
T&({{2}}\quad ,&{{ 5}})\\\\
S&({{ -2}}\quad ,&{{ 7}})\quad 
%  (c,d)
R&({{-1}}\quad ,&{{ 3}})
\end{array}\qquad 
%  distance value
d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}



\bf ST=\sqrt{[2-(-2)]^2+(5-7)^2}\implies ST=\sqrt{(2+2)^2+(5-7)^2}
\\\\\\
ST=\sqrt{(4)^2+(-2)^2}\\\\\\
SR=\sqrt{[-1-(-2)]^2+[3-7]^2}\implies SR=\sqrt{(-1+2)^2+(3-7)^2}
\\\\\\
SR=\sqrt{(1)^2+(-4)^2}

sum up all their distances, and that's the perimeter of the shape
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How to solve 4/7y-2 = 3/7 + 3/14
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Solution

1) Simplify \frac{4}{7y}<span> to </span>\frac{4y}{7}
\frac{4y}{7} <span>−2= </span>\frac{3}{7} + \frac{3}{14}

2) Simplify \frac{3}{7} + \frac{3}{14} <span>to <span>914</span>
</span>\frac{4y}{7} <span>−2= </span>\frac{9}{14}

3) <span>Add 2 to both sides
</span>\frac{4y}{7} = \frac{9}{14} <span>+2
</span>
4) Simplify \frac{9}{14&#10;} <span><span>+2</span> to </span>\frac{37}{14}
\frac{4y}{7} = \frac{37}{14}

5) <span>Multiply both sides by 7
</span><span>4y= </span>\frac{37}{14} <span>×7
</span>
6) Simplify \frac{37}{14} <span><span>×7</span> to </span>\frac{259}{14}
\frac{4y}{7} =\frac{259}{14}

7) Simplify \frac{259}{14}<span> to </span>\frac{37}{2}
\frac{4y}{7} = \frac{37}{2}

8) <span>Divide both sides by 4
</span>y= \frac{37}{2} <span>×4
</span>
9) <span>Simplify <span>2×4</span> to 8
</span><span>y=</span>\frac{37}{8}
<span><span>
Hope this helps 

</span></span>
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A transformer increases the input voltage from 12V to 12,000V. What is the ratio of the number of wire turns on the primary coil
erma4kov [3.2K]

Answer:

\frac{n_p}{n_s}=\frac{1}{1000}

Step-by-step explanation:

Given voltage of primary coil is V_p=12V

And voltage of secondary coil is V_s=12,000V

A transformer is a device that contains primary and secondary coil. These coils are mounted on soft iron. The change in voltage depends upon the number of turns of primary coil (n_p) and secondary coil (n_s).

Following equation represents the relation between them.

\frac{V_s}{V_p} =\frac{n_s}{n_p}\\\\\frac{12,000}{12}=\frac{n_s}{n_p}\\\\1000=\frac{n_s}{n_p}

Then, ratio of the number of wire turns on the primary coil to the number of turns on the secondary coil is

\frac{n_p}{n_s}=\frac{1}{1000}

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3 years ago
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