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lesya692 [45]
2 years ago
6

The equation y = 17x shows that a boat travels at a speed of 17 km/h. Which ordered pair satisfies the equation y = 17x? A. (0,

0) B. (0, 17) C. (1, 18) D. (17, 1) PLEASE HELP ASAP!
Mathematics
1 answer:
aleksklad [387]2 years ago
6 0
A, (0,0) is the answer
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dexar [7]

Answer: y = 3 (x -4)^3

Step-by-step explanation: horizontal shift of 4 units to the right (subtract 4 units from the x):   y = 3(x - 4)^3

Vertical shift 3 units down (subtract 3 units from the function):   y = 3(x - 4)^3 - 3

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3 years ago
Identify the coordinates of the vertices of each figure after the similarity transformation.
bija089 [108]

Answer:

After translation:

Translation: (x, y)  →  (x-6, y-8)

W'X'Y'Z' = W'(-10, 0), X'(-10, -8), Y'(-18, -4), Z'(-14, 8)

After dilation:

Dilation: (x, y)  →  (2x, 2y), centered at (0, 0)

W''X''Y''Z'' = W'' (-20, 0), X'' (-8, 0) , Y'' (-24, 8), Z'' (-16, 32)

Step-by-step explanation:

Given the vertices of the Quadrilateral WXYZ

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  • Z(-8, 16)

As the rule of translation is given by

Translation: (x, y)  →  (x-6, y-8)

So, after the translation the vertices of Quadrilateral WXYZ will be translated as:

W(-4, 8)  →  (x-6, y-8) ⇒ (-4-6, 8-8) = W'(-10, 0)

X(-4, 0)  →  (x-6, y-8) ⇒ (-4-6, 0-8) = X'(-10, -8)

Y(-12, 4)  →  (x-6, y-8) ⇒ (-12-6, 4-8) = Y'(-18, -4)

Z(-8, 16)  →  (x-6, y-8) ⇒ (-8-6, 16-8) = Z'(-14, 8)

Therefore,

W'X'Y'Z' = W'(-10, 0), X'(-10, -8), Y'(-18, -4), Z'(-14, 8)

Next, the rule of dilation is given by

Dilation: (x, y)  →  (2x, 2y), centered at (0, 0)

W'(-10, 0)  →  (2x, 2y) ⇒ (2(-10), 2(0)) = W'' (-20, 0)  

X'(-4, 0)  →  (2x, 2y) ⇒ (2(-4), 2(0)) = X'' (-8, 0)

Y'(-12, 4)  →  (2x, 2y) ⇒ (2(-12), 2(4)) = Y'' (-24, 8)

Z'(-8, 16)  →  (2x, 2y) ⇒ (2(-8), 2(16)) = Z'' (-16, 32)

Therefore,

W''X''Y''Z'' = W'' (-20, 0), X'' (-8, 0) , Y'' (-24, 8), Z'' (-16, 32)

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Answer:

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Which ordered pair is a solution to the system?
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all you have to do is see whether both variables of each point meet both contraints:

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