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3 years ago

What is the image of (-1, 1) after a dilation of 2? O (1.3) O (2.2) O (-22)

Mathematics

1 answer:

k0ka [10]3 years ago

6 0

Answer:

(-2, 2)

Step-by-step explanation:

When an image is dilated by a factor of 2, we can simply multiply the x and y coordinates by 2.

Therefore, the coordinates will become (-2, 2).

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Which of the following is an odd function?

Burka [1]

Answer:

Step-by-step explanation:

Uuiu

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3 years ago

2.4m log is cut into lengths into the ratio 7 : 5. Find the longer length in cm.

sergeinik [125]

Answer:

140 centimeters.

Step-by-step explanation:

Hello!

A 2.4 meter log is split into the ratio 7:5. Each unit part is one x-increment, so the log is split into 7 x-increments and 5 x-increments.

Find the longer length:

2.4 into 7:5
2.4 = 7x + 5x
2.4 = 12x
x = 2.4/12
x = 0.2

Now, we must find the longer length, 7x.

7x
7(0.2)
1.4

The longer length is 1.4 meters, but we want it in cm.

There are 100 centimeters in a meter.

1.4 meters = 1.4 * 100
1.4 meters = 140 centimeters

The longer length is 140 centimeters.

7 0

1 year ago

If anyone could help answer this question that would be great.

lys-0071 [83]

I believe the answer is 64
First break it off into 2 rectangles on is 4 width and 10 length other is 8 length and 10 width. Then multiple to find area 10•4=40 8•3=24 then add 40+24= 64

3 0

2 years ago

Assume the exponential growth model A(t)equals=Upper A 0 e Superscript ktA0ekt and a world population of 5.95.9 billion in 2006

Whitepunk [10]

Answer:

1.4% is the maximum acceptable annual rate of growth such that the population must stay below 24 billion during the next 100 years.

Step-by-step explanation:

We are given the following in the question:

The exponential growth model is given by:

$A(t) = A_0e^{kt}$

where k is the growth rate, t is time in years and $A_0$ is constant.

The world population is 5.9 billion in 2006.

Thus, t = 0 for 2006

$A_0 = 5.9\text{ billions}$

We have to find the maximum acceptable annual rate of growth such that the population must stay below 24 billion during the next 100 years.

Putting these values in the growth model, we have,

$24 = 5.9e^{100k}\\\\k = \dfrac{1}{100}\ln \bigg(\dfrac{24}{5.9}\bigg)\\\\k = 0.01403\\k = 0.01403\times 100\% = 1.4\%$

1.4% is the maximum acceptable annual rate of growth such that the population must stay below 24 billion during the next 100 years.

8 0

2 years ago

Multiplying or dividing two related quantities by the same number is called __________

loris [4]

Multiplying or dividing two related quantities by the same number is called scaling

3 0

2 years ago