The functions q and r are defined as follows.

Explain how you got the answer

Gnoma [55]

Answer:

$\huge\boxed{Center = (3,3),Radius = 2\sqrt{15} }$

Step-by-step explanation:

<u><em>Given equation is</em></u>

$x^2 + y^2 -6x-6y -42 = 0$

Adding 42 to both sides

$x^2 + y^2 -6x-6y = 42\\$

Completing squares

$x^2 -6x+y^2 -6x = 42\\(x)^2 - 2(x)(3) +y^2 - 2(y)(3) = 42$

Adding (3)² => 9 and (3)² => 9 to both sides

$(x-3)^2+(y-3)^2 = 42+9+9\\(x-3)^2 + (y-3)^2 = 60\\(x-3)^2 (y-3)^2 = (2{\sqrt{15})^2}$

Comparing it with $(x-h)^2+(y-k)^2 = r^2$ where Center = (h,k) and Radius = r

We get:

Center = (3,3)

Radius = $2\sqrt{15}$

7 0

3 years ago

Witch fraction has the same value as 2 3/3

saul85 [17]

Answer: Technically, it would be 9/3, but you can simplify that to 3.

3 0

2 years ago

Read 2 more answers

One point on the trend line is 200,6 using this point and the y-intercept find the slope of the trend line.

Marina CMI [18]

Step-by-step explanation:

Use the formula (Y2 - Y1)/(X2 - X1) to find the slope between two points

We'll make Point 1 (which is X1 and Y1) the Y-intercept so

X1, Y1 = (0, 5.00)

And we'll make Point 2 (which is X2 and Y2) the point on the trend line

X2, Y2 = (200, 6.00)

Plug into the formula:

(6.00 - 5.00)/(200 - 0)

= 1/200 or 0.005

Slope: 1/200 or 0.005

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If this helps, please mark as Brainliest! :)

6 0

3 years ago

Prisha rolls a fair number cube multiple times and records the result of each roll. Her results are shown in the table.

Leona [35]

Answer:

The experimental probability of rolling a 3 is greater than the theoretical probability of rolling a 3

Step-by-step explanation:

* Lets explain the difference between the theoretical probability and

experimental probability

- Theoretical probability is what we expect to happen

- Experimental probability is what actually happens when we try it out

- Both of them calculated by the same way, the number of possible ways

an outcome can occur divided by the total

* Lets solve the problem

- The table has two column;

# Number Cube # Observed Frequency

1 18

2 16

3 24

4 26

5 16

6 20

Total 120

∵ The experimental probability of rolling a 3 = 24/120 = 1/5 = 0.2

∴ The experimental probability of rolling a 3 = 0.2 = 20%

∵ The theoretical probability of rolling a 3 = 1/6

∴ The theoretical probability of rolling a 3 = 0.1666 ≅ 17%

∵ 20% is greater than 17%

∴ The experimental probability of rolling a 3 is greater than the

theoretical probability of rolling a 3

7 0

2 years ago

Read 3 more answers

he probability that the San Jose Sharks will win any given game is 0.3694 based on a 13-year win history of 382 wins out of 1034

garri49 [273]

Answer:

0.0071 = 0.71% probability that the San Jose Sharks win 9 games in the upcoming month.

Step-by-step explanation:

For each game, there are only two possible outcomes. Either the Sharks win, or they do not. The probability of the Sharks winning a game is independent of any other game. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$