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Georgia [21]
3 years ago
7

A point is dilated with respect to the origin. Determine the value of K and state whether the dilation is an expansion or contra

ction. Include all necessary calculations for full credit.
DO,K = (2,4) → (8,16)
Mathematics
1 answer:
vlabodo [156]3 years ago
5 0
Scale Factor (K) = (new length/measure)/ (original length/measure)
for x-coordinate  = 8/2 = 4
for y-coordinate  = 16/4 = 4

K=4, expansion

K is the representation of "scale factor". Scale factor is the ratio of the lengths involved of the similar figures. It can be used to identify the kind of dilation, whether it is contraction or expansion. If the Scale Factor is greater than 1, then that means expansion and if it is less than 1, then it signifies contraction.
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Answer:

b.  A''(7, 5), B''(2, 5), C''(4, –1)

Step-by-step explanation:

Given vertices of ΔABC:

  • A = (-1, 0)
  • B = (4, 0)
  • C = (2, 6)

Translation <u>mapping rule</u>:

(x, y) → (x – 6, y – 5)

Therefore:

  • A' = (-1 - 6, 0 - 5) = (-7, -5)
  • B' = (4 - 6, 0 - 5) = (-2, -5)
  • C' = (2 - 6, 6 - 5) = (-4, 1)

Rotation of 180° clockwise rule:

(x, y) → (-x, -y)

Therefore:

  • A'' = (-7, -5) = (7, 5)
  • B'' = (-2, -5) = (2, 5)
  • C'' = (-4, 1) = (4, -1)

Learn more about transformations here:

brainly.com/question/28354239

brainly.com/question/27743837

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1 year ago
Which of the binomials below is a factor of this expression? 4x2 - 25y2 z2
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3 years ago
Factor and Solve. Show work.
Naddik [55]

Step-by-step explanation:

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2. We will use the same process.

6x² + 14x - 3x - 7 = 0

2x (3x+7) - 1 (3x+7) = 0

(3x + 7)(2x - 1) = 0

3x + 7 = 0, 2x - 1 = 0

x = -7/3, x=1/2

Hope this helps!

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Answer:

11

Step-by-step explanation:

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3 years ago
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