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iren [92.7K]
3 years ago
11

Which transformation shows that the two given circles are similar? Circle A -- center(2, 0), radius 8 Circle A' -- center(-1, 5)

, radius 3
Mathematics
2 answers:
Goryan [66]3 years ago
5 0
Translate Circle A (x-3, y+5) and then dilate by a scale factor of 3/8 or 0.375
yawa3891 [41]3 years ago
5 0

Answer:

Step-by-step explanation:

One circle A with the center (2, 0) is transformed to a new point A' (-1, 5) means a circle is shifted to A' with new coordinates.

Therefore transformation done will be A [(2-x), (0-y)]

Here 2 - x = -1

-x = -2 - 1 = -3

x = 3

and 0-y = 5

y = -5

Therefore the transformation done is [(x - 3), (y +5)].

Now we see that the radius of the new circle is changed. Therefore new circle is enlarged with a scale factor of 3/8 = ( new radius/old radius)

So we conclude that a circle A is transformed to A' with [(x -3), (y + 5)]

and then enlarged by a scale factor of 3/8.

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What value from the set {6, 7, 8, 9, 10} makes the equation 5x + 2 = 47 true? Show your work.
vivado [14]
5x+2=47  subtract 2 from both sides

5x=45  divide both sides by 5

x=9
5 0
3 years ago
Esther. Vida and Clair were asked to consider two different cash flows: GH¢1000 that theycould receive today and GH¢3000 that wo
xxMikexx [17]

Answer:

The right choice is Esther's

Step-by-step explanation:

Present worth of GH¢ after 3 years is better as its present really worth may be very high than GH¢ a thousand of today. Here fee of interest is not given to compare however GH¢ 3000 after three years will be equivalent to present well worth GH¢ 1000 if charge of interest >44.5% which may be very very excessive. Thus charge of interest > 44.5% Then GH¢ 3000 payable after 3 years could be equivalent to GH¢ 1000 Hence vide has made the proper preference. If interest price >44.5%.

Then Esther's preference will he right. (thinking about time value of money).

6 0
3 years ago
There are 162 magazines and books in a library. There are 54 more books
Strike441 [17]

Answer:

108 books.

Step-by-step explanation:

Let the number of magazines = m

Let the number of books = b

<u>Given the following data;</u>

Total number of m & b = 162

<em>Translating the word problem into an algebraic equation, we have;</em>

b = m + 54 ......equation 1

m + b = 162 ......equation 2

<em>Substituting equation "1" into equation "2" we have;</em>

m + m + 54 = 162

2m + 54 = 162

2m = 162 - 54

2m = 108

m = \frac {108}{2}

m = 54

Now to find the number of books;

b = m + 54

Substituting the value of "m" into the equation, we have;

b = 54 + 54

<em>b = 108</em>

<em>Therefore, the total number of books in the library is 108 books. </em>

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What is the output of 8
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Describe how to use a ten fact to find the difference for fifteen take away eight
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15 - 8

8 + 2 is 10, so there are 5 leftover. 2 + 5 is 7, so 8 + 7 is 15.
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