Answer: x - 2
<u>Step-by-step explanation:</u>
HCF is more commonly referred to as GCF (greatest common factor)
Factor each expression to see which factor(s) they have in common.
The only factor that all three expressions have in common is: x - 2
Write an equation for the function
1 answer:
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4) .
5) The areas of the rectangles QRST and Q'R'S'T' are the same since the translation of the <em>geometric</em> loci conserved the <em>Euclidean</em> distance.
6) x = 1, w = 3, y = - 1/4, z = 1/3
<h3>How to analyze and apply rigid transformations</h3>
<em>Rigid</em> transformations are transformations applied on <em>geometric</em> loci such that <em>Euclidean</em> distance is conserved. In this question we have applications of translations, a kind of <em>rigid</em> transformation.
Exercise 4
In this part we must determine the areas of rectangles QRST and Q'R'S'T':
Rectangle QRST
A = RS · QT
A = 3 · 3
A = 9
Rectangle Q'R'S'T'
Q'(x, y) = (2, - 3) + (- 3, - 3)
Q'(x, y) = (- 1, - 6)
R'(x, y) = (2, 4) + (- 3, - 3)
R'(x, y) = (- 1, 1)
S'(x, y) = (5, 4) + (- 3, - 3)
S'(x, y) = (2, 1)
T'(x, y) = (5, - 3) + (- 3, - 3)
T'(x, y) = (2, - 6)
A = R'S' · Q'T'
A = 3 · 3
A = 9
The rectangles QRST and Q'R'S'T' have both an area of 9 square units.
Exercise 5
The areas of the rectangles QRST and Q'R'S'T' are the same since the translation of the <em>geometric</em> loci conserved the <em>Euclidean</em> distance.
Exercise 6
In this case, we must solve the following equations:
PQ = A'(x, y) - A(x, y)
(4, 1) = (2 · x + 1, 4) - (- 1, w)
(4, 1) = (2 · x + 2, 4 - w)
(4, 1) = (2 · x, - w) + (2, 4)
(2, - 3) = (2 · x, - w)
(x, w) = (1, 3)
PQ = B'(x, y) - B(x, y)
(4, 1) = (3, 3 · z) - (8 · y - 1, 1)
(4, 1) = (2 - 8 · y, 3 · z)
(4, 1) = (- 8 · y, 3 · z) + (2, 0)
(2, 1) = (- 8 · y, 3 · z)
(y, z) = (- 1/4, 1/3)
To learn more on translations: brainly.com/question/17485121
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