Answer:
2 RootIndex 4 StartRoot 4 EndRoot
Step-by-step explanation:
we have
Decompose the number 64 in prime factors
substitute
Table The table shows the number of carnival tickets purchased and the corresponding number of entries in the raffle drawing. If
x is the number of tickets purchased and y is the number of entries in the raffle drawing, then the equation represents the table. How many entries would be in the raffle drawing if 20 tickets were purchased?
2 answers:
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Answer:
All real numbers except 3
Step-by-step explanation:
Given
Required
Determine the domain
We start by writing the following inequality
Add 6 to both sides
Divide both sides by 2
<em>As such, the domain of x is all real numbers except 3</em>
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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