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3 years ago

What is the scale factor in the dilation if the coordinates of are (–7, 6) and the coordinates of are (–4, 3)?

Mathematics

2 answers:

emmainna [20.7K]3 years ago

7 0

Answer:

1/3

Step-by-step explanation:

The general rule to get the new dilation coordinate is as follows:

new coordinate = k * old coordinate

where k is the scale factor

For point A:

Xcoordinate of A' = k * Xcoordinate of A

-7 = k * -21

k = -7 / -21

k = 1/3

Ycoordinate of A' = k * Ycoordinate of A

6 = k * 18

k = 6/18

k = 1/3

For point C:

Xcoordinate of C' = k * Xcoordinate of C

-4 = k * -12

k = -4/-12

k = 1/3

Ycoordinate of C' = k * Ycoordinate of C

3 = k * 9

k = 3/9

k = 1/3

From all of the above, we can conclude that the scale factor is definitely 1/3

Source: Read more on Brainly.com - brainly.com/question/9658411#readmore

I hope this is helpful!

Naily [24]3 years ago

4 0

Answer:

-7

Step-by-step explanation:

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Answer:

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And for this case we can rewrite the model like this:

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If we integrate both sides we got:

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So then our model would be given by:

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Where t represent the number of hours

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Step-by-step explanation:

Part a

For this case we can assume the proportional model given by:

$\frac{dC}{dt} = rC$

And for this case we can rewrite the model like this:

$\frac{dC}{C} = r dt$

If we integrate both sides we got:

$ln C = rt + k$

If we use exponentials for both sides we got:

$C = e^{rt} e^k = C_o e^{rt}$

For this case $C_o = 100 mg$ and r = -0.16

So then our model would be given by:

$C(t) = 100 e^{-0.16 t}$

Where t represent the number of hours

Part b

For this case we can replace the value t=5 into the model and we got:

$C(5) = 100 e^{-0.16*5}= 44.9329$

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3 years ago

Solve using the quadratic formula x² - 12x + 36=0

motikmotik

Answer:

Step-by-step explanation:

(-12)^2-4*1*36=0

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12/2=

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3 years ago