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GREYUIT [131]
3 years ago
10

give the equation for the new circle obtained by translating the circle (x-2)^2+(y+4)^2=36 by 6 units to the right and 4 units u

p explain and show your work please
Mathematics
1 answer:
Neko [114]3 years ago
5 0

Answer:

equation for the new circle is;

(x - 8)² + y² = 36

Step-by-step explanation:

There are two types of translations and they are translation horizontally and vertically. Combining both of them in the context of this question, to translate a circle 6 units to the right and 4 units up, we take our equation,

(x - 2)² + (y + 4)² = 36 and subtract 6 from the x - term and 4 from the y - term to get the equation of the new circle.

This gives us;

(x - 2 - 6)² + (y + 4 - 4)² = 36

This gives;

(x - 8)² + y² = 36

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(4/3a - 3c - 5b) + (-a-2b+4c)
Darina [25.2K]

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▹ Answer

<em>1/3a + c - 7b</em>

▹ Step-by-Step Explanation

(4/3a - 3c - 5b) + (-a - 2b + 4c)

<u>Remove the parentheses</u>

(4/3a - 3c - 5b) + (-a - 2b + 4c)

<u>Rewrite</u>

4/3a - 3c - 5b - a - 2b + 4c

<u>Calculate</u>

1/3a - 3c - 5b - 2b + 4c

<u>Final Answer</u>

1/3a + c - 7b

Hope this helps!

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5 0
4 years ago
Express the series using sigma notation. 6 + 9 + 12 + 15.<br><br> a<br> b<br> c<br> d
Nadusha1986 [10]

Answer:

Option (d) is correct.

6 + 9 + 12 +15 = \sum_{k=1}^{4}(3k+3)

Step-by-step explanation:

Consider the given series expansion 6 + 9 + 12 +15.

since we have to write in series form of 3.

We first write each term of given series in term of 3k or 3k+3

6 can be written as 3(2) or 3(1)+3

9 can be written as 3(3) or 3(2)+3

12 can be written as 3(4) or 3(3)+3

15 can be written as 3(5) or 3(4)+3

Thus, we can write the given series as ,

\sum_{k=2}^{5}3k or  \sum_{k=1}^{4}(3k+3)

Since, we have options to choose.

From the given option (d) matches our result.

So,  6 + 9 + 12 +15 = \sum_{k=1}^{4}(3k+3)


5 0
3 years ago
Read 2 more answers
I need help with this :-/
slega [8]

you have shown that 2 angles and the corresponding side are congruent. That is what we would write in the UK

In the US i think its ASA?

5 0
3 years ago
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