Hey i need help with system of equations. i uploaded a doxs file you can onpen it in google docs
1 answer:
Answer:
<h2>PART A: x = 15 and y = -8</h2><h2>PART B: x = -5 and y = 3</h2>Step-by-step explanation:
PART A:
The first equation is
The second equation is
Putting the value of y from (a) in the above equation, we get
From (a) we get y = 7 - x = 7 - 15 = -8
PART B:
Here the system of equations are
From (a) we get,
Putting the above value of x in (b) we get,
Hence,
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By applying the concept of <em>rigid</em> transformation and the equation of translation we conclude that the coordinates of points K' and M' are (-2, 3) and (-4, 1).
<h3>How to apply a translation to a point on a Cartesian plane</h3>
<em>Rigid</em> transformations are transformations applied onto <em>geometric</em> loci such that Euclidean distance is conserved at every point of the loci. Translations are an example of <em>rigid</em> transformations, whose formula is defined by the following expression:
(1)
Where:
- P(x, y) - Original point
- P'(x, y) - Resulting point
- Translation vector
If we know that K(x, y) = (4, 1), M(x, y) = (2, -1) and , then the coordinates of points K' and M' are:
Point K'
K'(x, y) = (4, 1) + (-6, 2)
K'(x, y) = (-2, 3)
Point M'
M'(x, y) = (2, -1) + (-6, 2)
M'(x, y) = (-4, 1)
By applying the concept of <em>rigid</em> transformation and the equation of translation we conclude that the coordinates of points K' and M' are (-2, 3) and (-4, 1).
To learn more on translations: brainly.com/question/17485121
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