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german
3 years ago
9

20 POINTS!!

Mathematics
2 answers:
VashaNatasha [74]3 years ago
8 0

Correct answer is C

Nesterboy [21]3 years ago
4 0
<span>c) dilation by a scale factor of 2; yes; The length of segment A'B' is longer than the original segment AB. </span>
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The correct answer is Redbirds

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Which of the following ordered pairs could be in a relation that has a range of {2, 4, 5}?
hodyreva [135]

Answer:

d) (3, 4), (5, 5), (5, 2)

Step-by-step explanation:

<em></em>

<em>We are asked to determine which orderpair in the option has the range of {2,4,5}</em>

Using the definition of range:

The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain.

So in the given options if we write the relation in the form of (x,y) then 4, 5, 2 are the values in the range

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3 years ago
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Triangle A″B″C″ is formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin. W
Dafna1 [17]

Answer:

  • A. segment A double prime B double prime = segment AB over 2

Step-by-step explanation:

<u>Triangle ABC with coordinates of:</u>

  • A = (-3, 3), B = (1, -3), C = (-3, -3)

<u>Translation (x + 2, y + 0), coordinates will be:</u>

  • A' = (-1, 3), B = ( 3, -3), C = (-1, -3)

<u>Dilation by a scale factor of 1/2 from the origin, coordinates will be:</u>

  • A'' = (-0.5, 1.5), B'' = (1.5, -1.5), C= (-0.5, -1.5)

<u>Let's find the length of AB and A''B'' using distance formula</u>

  • d = √(x2-x1)² + (y2 - y1)²
  • AB = √(1-(-3))² + (-3 -3)² = √4²+6² = √16+36 = √52 = 2√13
  • A''B'' = √(1.5 - (-0.5)) + (-1.5 - 1.5)² = √2²+3² = √13

<u>We see that </u>

  • AB = 2A''B''

<u>Now the answer options:</u>

A. segment A double prime B double prime = segment AB over 2

  • Correct

B. segment AB = segment A double prime B double prime over 2

  • Incorrect. Should be AB = A''B''*2

C. segment AB over segment A double prime B double prime = one half

  • Incorrect. Should be AB/A''B'' = 2

D. segment A double prime B double prime over segment AB = 2

  • Incorrect. Should be A''B''/AB = 1/2
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