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german
2 years ago
7

AABC is reflected across the x-axis and then dilated by a factor of 2 using the

Mathematics
1 answer:
Hitman42 [59]2 years ago
7 0

The transformation of A is A' = (8, -3)

<h3>How to determine the transformation?</h3>

From the graph, we have:

A = (3,1)

The scale factor and the center of dilation are given as:

k = 2

(a,b) = (-2,1)

The rule of reflection across the axis is:

(x,y) ⇒ (x,-y)

So, we have:

A' = (3,-1)

The rule of dilation is represented as:

(x,y) ⇒ (k(x - a) + a, k(y - b) + b)

So, we have:

A' = (2(3 + 2) - 2, 2(-1 - 1) + 1)

Evaluate

A' = (8, -3)

Hence, the transformation of A is A' = (8, -3)

Read more about transformation at:

brainly.com/question/4289712

#SPJ1

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The probability that event A occurs is 0.4, and the probability that events A and B both occur is 0.25. If the probability that
ICE Princess25 [194]

Answer:

The probability that event B will occur is 0.45

Step-by-step explanation:

Given;

probability that event A occurs, P(A) = 0.4

the probability that events A and B both occur, P(A ∩ B) = 0.25

the probability that either event A or event B occurs, P(A ∪ B) = 0.6

To determine the probability that event B will occur, we use probability addition rule;

P(A) + P(B) = P(A ∩ B) + P(A ∪ B)

0.4 + P(B) = 0.25 + 0.6

0.4 + P(B) = 0.85

P(B) = 0.85 - 0.4

P(B) = 0.45

Therefore, the probability that event B will occur is 0.45

4 0
2 years ago
Solve each proportion.<br> 2/8=5/r+8
brilliants [131]

Answer:

r=-20/31

Step-by-step explanation:

1)divide the numbers

2) subtract 8 from both sides of the equation

6 0
2 years ago
Can someone please answer this for me i cant figure it out.
Jlenok [28]
<h3>Answer:</h3>

\displaystyle x^{\frac{2}{3}}

<h3>Step-by-step explanation:</h3>

The rules of exponents tell you ...

... (a^b)(a^c) = a^(b+c) . . . . . . applies inside parentheses

... (a^b)^c = a^(b·c) . . . . . . . . applies to the overall expression

The Order of Operations tells you to evaluate inside parentheses first. Doing that, you have ...

... x^(4/3)·x^(2/3) = x^((4+2)/3) = x^2

Now, you have ...

... (x^2)^(1/3)

and the rule of exponents tells you to multiply the exponents.

... = x^(2·1/3) = x^(2/3)

3 0
3 years ago
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Naomi and Stefan are selling pies for a school fundraiser. Customers can buy cherry pies and pumpkin pies. Naomi sold 11 cherry
dolphi86 [110]

The answer is the first option

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2 years ago
10 points
velikii [3]
384. 25 is the correct answer.
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