All categories

2 years ago

Determine and state the coordinates of the center and the length of the radius of a circle whose equation is

Mathematics

1 answer:

Tpy6a [65]2 years ago

5 0

Answer: center = (-3, 2) radius = √23

<u>Step-by-step explanation:</u>

The equation of a circle is: (x - h)² + (y - k)² = r²

where center = (h, k) and radius = r

Complete the square for both x and y:

$x^2+6x+\bigg(\dfrac{6}{2}\bigg)^2+y^2-4y+\bigg(\dfrac{-4}{2}\bigg)^2 = 10 +\bigg(\dfrac{6}{2}\bigg)^2+\bigg(\dfrac{-4}{2}\bigg)^2\\\\\\(x+3)^2+(y-2)^2=23\\\\\\\rightarrow (h,k)=(-3,2)\\\\\rightarrow r^2=23\quad \rightarrow r=\sqrt{23}$

You might be interested in

Explain how to compute 3/4 x 4/5 using one diagram.

Drupady [299]

Answer:

The simplified form of given expression is 3/5.

Step-by-step explanation:

The given expression is

$\frac{3}{4}\times \frac{4}{5}$

We need to find the product of two factions using diagram.

For 3/4, draw a box and divide it in 4 equal parts by using vertical lines. The color three parts of it.

For 4/5, draw a box and divide it in 5 equal parts by using horizontal lines. Then color the four parts of it.

Now combined both boxes and shown below.

From the below figure it is clear that

The number of common shaded small boxes = 12

Total number of small boxes = 20

The required fraction is

$Fraction=\frac{\text{Number of common shaded small boxes}}{\text{Total number of small boxes}}$

$Fraction=\frac{12}{20}$

Cancel out common factor.

$Fraction=\frac{3}{5}$

Therefore, the simplified form of given expression is 3/5.

5 0

2 years ago

My co-worker Larry only likes numbers that are divisible by 4, such as 20, or 4,004. How many different ones digits are possible

gavmur [86]

Answer:

<h3>There must be infinitely numbers different ones digits are possible in numbers that Larry likes.</h3>

Step-by-step explanation:

Given that my co-worker Larry only likes numbers that are divisible by 4, such as 20, or 4,004.

<h3>To find that how many different ones digits are possible in numbers that Larry likes:</h3>

From the given "Larry only likes numbers that are divisible by 4."

There are many numbers with one digits in the real number system that could be divisible by 4 .

<h3>We cannot say the count,so it is infinite.</h3><h3>Hence there must be infinitely numbers different ones digits are possible in numbers that Larry likes</h3>

8 0

2 years ago

Please help <br> 100 pt question

Rudiy27

Answer:

the independent variable is the # of runners while the dependent is the # of water bottles

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

The following stem-and-leaf plots compare the ages of 30 actors and 30 actresses at the time they won the Oscar award for Best A

stealth61 [152]

The image of the stem-and-leaf plots is in the attachment.

Answer: (a) 31 years; (b) 59 years; (c) 56 years

Step-by-step explanation: Steam and leaf is a table that shows the digits of the data value split into a "stem", which represents the first digit, and a "leaf", which is the last digit.

For example, the first row of the table in the attachment, indicate a "stem" 2 and the first number of a "leaf" is 1, so the actress has 21 years.

(a) According to the table, the youngest actor to win an Oscar has a "stem" 3 and the first "leaf" from the right is 1, so the actor has 31 years.

(b) The oldest actress is 80 and the youngest is 21, so difference is:

80 - 21 = 59

The difference is 59 years.

6 0

2 years ago

A statistics instructor wants to see if allowing students to use a notecard on exams will affect their overall exam scores. The

likoan [24]

Answer:

Throughout the clarification section elsewhere here, the definition of the concern is discussed.

Step-by-step explanation:

This seems to be an experimental analysis where the students were purposely administered an assessment and treatment of someone using notecards towards examine a potential improvement in the answer or calculated indicator that is average scores.
Overall test scores are the answer component.
Through the use of notecards seems to be the explanatory component. The vector degree is 'Used' either 'Not Used.'
The participants offering the test seem to be the experimental groups.

8 0

3 years ago