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oksano4ka [1.4K]
3 years ago
13

The equation of a circle is (x + 3)2 + (y + 5)2 = 8. Determine the coordinates of the center of the circle. ??

Mathematics
1 answer:
pickupchik [31]3 years ago
4 0

\bf \textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{}{ h},\stackrel{}{ k})\qquad \qquad radius=\stackrel{}{ r} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ (x+3)^2+(y+5)^2=8\implies [x-(\stackrel{h}{-3})]^2+[y-(\stackrel{k}{-5})]^2=(\stackrel{r}{\sqrt{8}})^2 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \stackrel{center}{(-3,-5)}~\hfill

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Find the 37th term of the arithmetic sequence: -38,-8,22,52
Leya [2.2K]

Answer:

1042

Step-by-step explanation:

-38,-8,22,52

The common difference is 52 - 22 = 30

a_1 = -38

a_2 = -38 + 30

a_3 = -38 + 2 * 30

a_4 = -38 + 3 * 30     (notice that the common difference is multiplied by 1 less than the term number)

a_n = -38 + (n - 1)30      (since the term number is n, we multiply the common difference by n - 1)

a_n = -38 + 30(n - 1)

a_37 = -38 + 30(37 - 1)

a_37 = 1042

3 0
3 years ago
Please help with this math problem, lost in the sauce over here.
lilavasa [31]

Answer:

the answer i got was 501600

Step-by-step explanation:

I divided 330000 by 100 and then multiplied that answer by 4 and then times that by 13.

5 0
3 years ago
Please help me with this homework
ehidna [41]

Answer:

3

Step-by-step explanation:

3² + 4² = 5²

Hope this helps :)

5 0
3 years ago
A bakery sold a total of 80 cupcakes in a day, and 95% of them were chocolate flavored. How many of the cupcakes sold that day w
matrenka [14]

Answer:

76

Step-by-step explanation:

80 of 95%

80/ 100 × 95

8 × 95/ 10

760/ 10

= 76

hope it helps!

3 0
3 years ago
Sam is baking cakes at her parent’s bakery. She gets paid 20 a week in addition to 5 for every cake she bakes. She made 50 this
denis-greek [22]

Answer:

i think it is 20 + 5x = 50    or  f(x)=2(3^x)

Step-by-step explanation:

equation to show how many cakes sam baked this week:

20 + 5x = 50

20 = 20 dollars

5 = 5 more dollars

x = number of cakes

therefore, sam earned $50 this week.

4 0
4 years ago
Read 2 more answers
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