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nignag [31]
3 years ago
11

AB has coordinates A(-15,5) and B(0-10). Find the coordinates of A' B'

Mathematics
1 answer:
Dvinal [7]3 years ago
8 0

Answer:

A'(-3,1)

B'(0,-2)

Step-by-step explanation:

By definition, a dilation is a transformation in which the sizes change but the shape of the image and the pre-image is the same.

In this case, you have the following coordinates of AB:

A(-15,5) \\ B(0-10)

You know that the scale factor (which can be represented with "k") that was used to dilate AB was:

k=\frac{1}{5}

And the dilation was centerered at the origin.

Therefore, in order to find the coordinates of the image A' B' you must multiply the coordinates of each point of the pre-image AB by the scale factor given.

Then, these are:

A'→ (-15*\frac{1}{5},\ 5*\frac{1}{5})=(-3,1)

B'→ (0*\frac{1}{5},\ -10*\frac{1}{5})=(0,-2)

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If you have 80 employees and you grew 116%, what was the amount of original employees?
Nezavi [6.7K]

Answer: 69

Step-by-step explanation:

Let the original employee be x , this means that

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\frac{116x}{100} = 80

116x = 8000

divide through by 116

x = 8000/116

x = 68.96551724

Since we are dealing with employees , therefore x ≈ 69

This means that there were 69 employees originally

7 0
3 years ago
A population of bacteria begins with 1500 bacteria and grows to 4500 in one hour.
dezoksy [38]

The function that represents the growth of this culture of bacteria as a function of time is; P = 1500e^(1.0986t)

<h3>How to calculate Exponential Growth?</h3>

The formula for exponential growth is;

P = P₀e^(rt)

where;

P = current population at time t

P₀ = starting population

r = rate of exponential growth/decay

t = time after start

Thus, from our question we have;

4500 = 1500 * e^(r * 1)

4500/1500 = e^r

e^r = 3

In 3 = r

r = 1.0986

Thus, the function that represents the growth of this culture of bacteria as a function of time is;

P = 1500e^(1.0986t)

For the culture to double, then;

P/P₀ = 2. Thus;

e^(1.0986t) = 2

In 2 = 1.0986t

t = 0.6931/1.0986

t = 0.631 hours

Read more about Exponential Growth at; brainly.com/question/27161222

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4 0
2 years ago
(x^2 - 4)(x^2 + x - 12) = 0
tatiyna

Answer:

is that a T or F

Step-by-step explanation:

3 0
3 years ago
Scott earned 20 points more on his most recent math test than he earned on the previous test. If he earned at least 80 points on
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9514 1404 393

Answer:

  s ≥ 60

Step-by-step explanation:

If Scott earned 20 points more on this test, then he earned 20 points less on the last test. 20 points less than "at least 80" is "at least 60."

  s ≥ 60

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3 years ago
SOLVE 7-9 I WILL GIVE BRAINLIST
Mashcka [7]

Answer:

7. Approximately 402.7 inches or 2pi times 64

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Step-by-step explanation:

7 0
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