how do you find the diameter of a circle using the equation x^2+y^2+8x-22y-88=0? I need it step by step please

Mathematics

2 answers:

Aloiza [94]3 years ago

3 0

Check attached image file.

MakcuM [25]3 years ago

3 0

You can complete the square on x and y terms to find the radius:-

x^2 + 8x + y^2 - 22y - 88 = 0
(x + 4)^2 - 16 + (y - 11)^2 - 121 - 88 = 0
(x + 4)^2 + (y - 11)^2 = 121 + 88 + 16 = 225
(x + 4)^2 + (y - 11)^2 = 225
compare this with the standard form:-
( x - a)^2 + (y - b)^2 = r^2 where r = radius
So radius = sqrt225 = 15

Diameter = 2*15 = 30 Answer

You might be interested in

Between x = 2 and x = 3, which function has a greater average rate of change than y = 13 -x ?

Marrrta [24]

For this case what you should know is that the slope of the line can be calculated as:
Tan x = sin x / cos x
The lines x = 2 and x = 3 have an angle of 90 degrees with respect to the x axis:
Tan 90 = sin 90 / cos 90 = 1/0 = inf
Therefore, both lines have a rate of change that tends to infinity.
answer
Both lines have the same slope (infinity) Both are greater than m = -1

3 0

3 years ago

For a perfectly symmetrical distribution with a mean of 50, what is the value of the median?

Lelechka [254]

In a set of data, if the data is perfectly symmetrical then the mean is equal to the median. In this case, the median would be 50.

For example, consider the data set: {25, 50, 75}

The mean is going to be 50 because $\frac{25+50+75}{3}$ = 50

The median is also 50 because that is the middle number when ordered numerically.

Hope this helped! Let me know if you have any more questions.

3 0

3 years ago

The mixed number 9 14/100 is equivalent to 9.14.

aev [14]

Your answer is True !:)

8 0

3 years ago

Read 2 more answers

if you flipped a coin 20 times, in percentage how many times do you expect the coin to land on heads, an how many times on tails

djyliett [7]

Answer:

50% head and 50% tails.

Step-by-step explanation:

A coin only has two sides to flip on and is equally probably flip heads or tails. If you flipped the coin 20 times you could expect to flip 10 heads and 10 tails.

8 0

2 years ago

A student has earned a 92%, 88%, 65%, 79%, and 99% on her unit tests. What is the student's mean unit test score? Enter your ans

Feliz [49]

92+88+65+79+99=423
423/5=84.6%
5 is from the amount of percentages given

6 0

3 years ago

Read 2 more answers