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ZanzabumX [31]
2 years ago
6

Triangle ABC has vertices A(–1, 0), B(4, 0), and C(2, 6). If ΔABC is translated using the function rule (x, y) → (x – 6, y – 5)

and then rotated 180° clockwise, what would be the coordinates of the vertices of ΔA’’B’’C’’?
a. A’’(–5, 7), B’’(–5, 2), C’’(1, 4)
b. A’’(7, 5), B’’(2, 5), C’’(4, –1)
c. A’’(7, 5), B’’(2, 5), C’’(4, 1)
d. A’’(–7, –5), B’’(–2, –5), C’’(–4, 1)
Mathematics
1 answer:
Elina [12.6K]2 years ago
5 0

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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Answer:

a) 88% is a population characteristic.

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WHILE

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Hope this Helps!!!

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3 years ago
A) Find dy for 4y - 3xy + 8x = 0 and b) evaluate dy for x = 0 and dx = 0.05
Whitepunk [10]

Compute the differential for both sides:

4<em>y</em> - 3<em>xy</em> + 8<em>x</em> = 0

→   4 d<em>y</em> - 3 (<em>y</em> d<em>x</em> + <em>x</em> d<em>y</em>) + 8 d<em>x</em> = 0

Solve for d<em>y</em> :

4 d<em>y</em> - 3<em>y</em> d<em>x</em> - 3<em>x</em> d<em>y</em> + 8 d<em>x</em> = 0

(4 - 3<em>x</em>) d<em>y</em> + (8 - 3<em>y</em>) d<em>x</em> = 0

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4<em>y</em> - 3•0<em>y</em> + 8•0 = 0   →   4<em>y</em> = 0   →   <em>y</em> = 0

and with d<em>x</em> = 0.05, we get

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Answer:

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When flipping a coin a number of times, we can modeled this as a random variable with a binomial distribution.

In this case, we have to calculate the probability of 3 consecutive tails. If we define p as the probability of getting a tail (which has a value of p=0.5 if it is an unbiased coin), the probability of getting 3 tails in a row is:

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BaLLatris [955]

I would say that the answer is B

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