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Allisa [31]
2 years ago
14

In a coordinate plane, triangle ABC has vertices A (1, 1), B (1, 5), and C (5,1). Triangle ABC is translated 3 units right and 2

units down, resulting in triangle A'B'C'. Which rule best describes the transformation of the triangle?
a-(x, y) → (-3x, 2y)
b-(x, y) → (3x, -2y)
c-(x,y) → (x -3, y +2)
d-(x, y) → (x +3, y - 2)
Mathematics
1 answer:
myrzilka [38]2 years ago
7 0

Answer:

\frac{4}{15}

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Answer:

10/3 hours

Step-by-step explanation:

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4 0
3 years ago
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denpristay [2]

Answer:

0.3721 or 37.21%

Step-by-step explanation:

P(I) = 0.60; P(II) = 0.40;

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The probability that the phone came from factory II, given that is not defective, is determined by the probability of a phone from factory II not being defective divided by the probability of a phone not being defective.

P(II|not) = \frac{P(II)*P(not_{II})}{P(II)*P(not_{II})+P(I)*P(not_{I})}\\P(II|not) = \frac{0.40*0.80}{0.40*0.80+0.60*0.90}\\ P(II|not) =0.3721 = 37.21\%

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3 years ago
The explicit rule for a sequence is an=5(−2)^n−1
Murrr4er [49]

Answer:

3) a_n=-2a_{n-1}, a_1=5

Step-by-step explanation:

Given that the explicit rule for a sequence is a_n=5(-2)^{n-1}.

Now we need to find about what is the recursive rule for the sequence and match with the given choices to find the correct choice.

1) a_n=-2a_{n+1}, a_1=5

2) a_n=-5a_{n+1}, a_1=2

3) a_n=-2a_{n-1}, a_1=5

4) a_n=-5a_{n-1}, a_1=2

Plug n=1 into given formula to get first term

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a_1=5(-2)^{1-1}=5(-2)^{0}=5(1)=5

base of the exponent part is (-2) so that means we need to multiply -2 to the previous term to get nth term

Hence correct choice is: 3) a_n=-2a_{n-1}, a_1=5

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