Mathematics : asked on emo239

07.05.2020

What are the coordinates of the intersection of the diagonals of parallelogram WXYZ with vertices W(−1, 2), X(3, 2), Y(5, −1), and Z(1, −1)

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Mathematics

Find the coordinates of the intersection of the diagonals of parallelogram wxyz with the following vertices: w (-1, 7), x (8, 7), y (6, -2) and z (-3, -2)

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P Answered by PhD

Check the picture below

in a parallelogra, the diagonals "bisect" each other, thus each one cuts the other in 2 equal halves.

that simply means in this case, where they intersect, is the midpoint of either diagonal... so let's use the midpoint of XZ then

$\bf \textit{middle point of 2 points }\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
X&({{ 8}}\quad ,&{{ 7}})\quad 
% (c,d)
Z&({{ -3}}\quad ,&{{ -2}})
\end{array}\qquad
% coordinates of midpoint 
\left(\cfrac{{{ x_2}} + {{ x_1}}}{2}\quad ,\quad \cfrac{{{ y_2}} + {{ y_1}}}{2} \right)
\\\\\\
\left(\cfrac{{{ -3}} + {{ 8}}}{2}\quad ,\quad \cfrac{{{ -2}} + {{ 7}}}{2} \right)$

Find the coordinates of the intersection of the diagonals of parallelogram wxyz with the following v

Find the coordinates of the intersection of the diagonals of parallelogram wxyz with the following v

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You can buy jars of the same jam in 2 sizes large jar:440g for £1.54 small jar:340g for £1.26 By considering the price per gram, work out which jar is the best value for money. Working must be shown

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P Answered by PhD

Answer: 440 grams for 1.54 is the better value
Explanation:
Take the price and divide by the number of grams
1.54 / 440 =0.0035 per gram
1.26 / 340 =0.003705882 per gram
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The answer is in the image

The answer is in the image

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The solution is in the following image

The solution is in the following image

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P Answered by PhD

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Mathematics

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P Answered by PhD

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