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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. ??

1 answer:

pickupchik [31]3 years ago

4 0

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

You might be interested in

Simplify (-220k)(5.8k) completely.

hram777 [196]

Answer:

$-1,276 {k}^{2}$

Step-by-step explanation:

$( - 220k)(5.8k) \\ = - 220 \times 5.8 \times k \times k \\ = -1,276 {k}^{2}$

8 0

3 years ago

Describe the continuity of the graphed function. Select all that apply.

victus00 [196]

Using continuity concepts, it is found that the correct options are:

The function is continuous at x = -4.
The function has an infinite discontinuity at x = -1.

-----------------------------

A function f(x) is continuous at x = a if:

$\lim_{x \rightarrow a^{-}} f(x) = \lim_{x \rightarrow a^{+}} f(x) = f(a)$

-----------------------------

At x = -4, there are no changes in the definition of the function, thus, it is continuous.
At x = -1, we have that:

$\lim_{x \rightarrow -1^-} f(x) = 0$

$\lim_{x \rightarrow -1^+} f(x) = f(1) = 1$

A different definition depending on the which side of -1 the function is, thus, it is a jump discontinuity.

A similar problem is given at brainly.com/question/21447009

8 0

3 years ago

On a coordinate plane, a line goes through points (negative 4, 0) and (0, 4.5). What is the x-coordinate of the y-intercept? –4

ANTONII [103]

Answer:

sorry for such a late answer but the correct option is the second table

Step-by-step explanation:

none needed

6 0

4 years ago

Read 2 more answers

the distance around the school track is 1/4 Mile how many times around the track does Cheryl need to run in order to run 1 mile

Natasha2012 [34]

She needs to run 4 times

7 0

4 years ago

Read 2 more answers

The Quality Control Department employs five technicians during the day shift Listed below is the number of times each technician

frutty [35]

Solution :

Number of different samples of two technicians possible is = 10, as 2 technicians are to be chosen from a total of 5 technicians.

a). Therefore, 10 different samples are possible of size two.

b).

<u> Sample Shut down Mean</u>

1. Taylor, Hurley 4, 3 3.5

2. Taylor, Gupta 4, 5 4.5

3. Taylor, Rousche 4,6 5

4. Taylor, Huang 4, 3 3.5

5. Hurley, Gupta 3,5 4

6. Hurley, Rousche 3,6 4.5

7. Hurley, Huang 3,3 3

8. Gupta, Rousche 5,6 5.5

9. Gupta, Huang 5,3 4

10. Rousche, Huang 6,3 <u> 4.5 </u>

42

Now mean of sample means $=\frac{42}{10}$ = 4.2

Mean of population is = $\frac{4+3+5+6+3}{5}$ = 4.2

Thus both the means are equal.

8 0

3 years ago