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Aleks [24]
3 years ago
14

Calculate the scale factor of the dilation around the center of dilation, c. the preimage is blue and the image is red.

Mathematics
2 answers:
Semenov [28]3 years ago
6 0
Please check the attached file

Sonja [21]3 years ago
5 0

The <em>correct answer</em> is:


C) k = 1/2


Explanation:


We will find the lengths of the horizontal segments of the pre-image and the image, and compare them to find the dilation factor.


For the pre-image, we have a horizontal segment from (2, 5) to (4, 5). This is a distance of 2.


The corresponding segment of the image goes from (2.5, 4) to (3.5, 4). This is a distance 1.


The segment of the image is 1/2 the size of the corresponding segment of the pre-image; this makes the dilation factor 1/2.


To verify, we have another horizontal segment of the pre-image that goes from (3, 2) to (6, 2). This is a distance of 3 units.


The corresponding horizontal segment of the image goes from (3, 2.5) to (4.5, 2.5). This is a distance of 1.5 units.


The distance of the image segment is 1/2 of the distance of the pre-image segment; this means the scale factor is 1/2.

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Answer: The 25th term of the sequence is 75

Step-by-step explanation:

The given sequence depicts an arithmetic progression. The consecutive terms differ by a common difference. We will apply the formula for arithmetic progression.

Tn = a + (n-1)d

Tn = The value of the nth term of the arithmetic sequence.

a = first term of the sequence.

d = common difference (difference between a term and the consecutive term behind it)

n = number of terms in the sequence.

From the information given,

a = 3

d = 5-3 = 7-5 = 2

We want to look for the 25th term, T25

So n = 25

T25 = 3 + (25-1)2 = 3+ 24×2

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3 years ago
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Nov 20, 2016 · If we assume that initially Number of red counter is 1 Number of blue counter is 3 Now to make ratio reverse you need to add 8 more red counters so that ratio becomes 9:3=3:1

Step-by-step explanation:

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3 years ago
A system of equations is shown below:
Naddika [18.5K]
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4 years ago
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Give the degree of the polynomial <br> -3w+x^6y^5-2+5y^4w^3x^2
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Answer:

Here the degree of the polynomial is 11.

Step-by-step explanation:

To find the degree of the multivariate polynomials, we need to add up the powers of all the variables.   So the total degree is given by the sum of all the powers of the highest powers terms.

Now in the given polynomial -3w+x^6y^5-2+5y^4w^3x^2

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