All categories

3 years ago

2. The equation of a circle is x^2 + 2x + y^2 + 6y = 0.

1 answer:

8 0

Answer:

a)
${x}^{2} + 2x + {y}^{2} + 6y = 0$
${x}^{2} + 2x + 1 + {y}^{2} + 6y + 9 = 10$
${(x + 1)}^{2} + {(y + 3)}^{2} = 10$
b)
center I(-1;-3)

$radius = \sqrt{10}$

You might be interested in

20% of what number is 18<br> Explain.

Sophie [7]

In this question, the thing that needs to be found is the number whose 20% would be 18. The information's required for getting to the solution are already provided in the question. based on those given information's, the answer can be deduced very easily.
Let us assume the unknown number to be = x
Then
(20/100) * x = 18
x/5 = 18
x = 18 * 5
= 90
so the unknown number in the question is 90. I hope the procedure is clear enough for you to understand.

8 0

3 years ago

Read 2 more answers

ANSWER THIS QUESTION THANKS ✔✔

ladessa [460]

Answer:

Step-by-step explanation:

Any negative (when there is only one of them) will be the least. negatives are smaller than positives.

A fraction is less than a whole number. So far what you have is

___ ___ 3/15 , - 24/30

So now which is bigger? 11 or 11.5

Which would you rather have? 11 dollars or 11 dollars and 50 cents. 11.5>11

The correct order is 11.5 11 3/15 - 24/30

5 0

2 years ago

Read 2 more answers

An European style café latte uses 1.5oz of espresso and 8oz of milk. You accidentally add 12oz of milk to 1.5oz of espresso. How

ELEN [110]

Answer:

2.5

Step-by-step explanation:

The one thing that changes in the problem is the milk. It goes from 8 oz. to 12 oz., so we are going to use the oz count to determine the amount of espresso. Since the amount of milk rose, so is the amount of espresso. Now, you take the larger number and divide it by the smaller number (12 / 8 = 1.5). This answer will tell you by what multiple it increased by. Once you have the multiple it increased by, you multiply that answer (1.5) by the other unknown changing number, so 1.5 x 1.5. Do this and you get 2.5.

3 0

3 years ago

A box has length 8 feet, width 4 feet, and height 3 inches. Find the volume of the box in cubic feet and in cubic inches.

coldgirl [10]

The volume of a box in cubic inches = 13,824 cubic inches

The volume of a box in cubic feet = 8 cubic feet

<h3>What is the Volume of a box?</h3>

The volume of a box = (length)(width)(height).

Give the following:

Length of the box = 8 feet

Width of the box = 4 feet

Height of the box = 3 inches

Convert the length and width to inches (1 foot = 12 inches)

Length of the box = 8 feet = (8)(12) = 96 inches

Width of the box = 4 feet = (4)(12) = 48 inches

Height of the box = 3 inches = 3/12 = 0.25 ft

The volume of a box in cubic inches = (96)(48)(3) = 13,824 cubic inches

The volume of a box in cubic feet = (8)(4)(0.25) = 8 cubic feet

Learn more about the volume of a box on:

brainly.com/question/14957364

#SPJ1

8 0

1 year ago

A random sample of 100 workers in one large plant took an average of 12 minutes to complete a task, with a standard deviation of

SCORPION-xisa [38]

Answer:

The 95% Confidence Interval for the difference between the two population mean completion times =

(0.081, 1.919)

Step-by-step explanation:

Confidence Interval for difference between two means =

μ1 -μ2 ± z × √ σ²1/n1 + σ²2/n2

Where

μ1 = mean 1 = 12 mins

σ1 = Standard deviation 1 = 2 mins

n1 = 100

μ2= mean 2 = 11 mins

σ2 = Standard deviation 2 = 3 mins

n1 = 50

z score for 95% confidence interval = 1.96

μ1 -μ2 ± z × √ σ²1/n1 + σ²2/n2

= 12 - 11 ± 1.96 × √2²/100 + 3²/50

= 1 ± 1.96 × √4/100 + 9/50

= 1 ± 1.96 × √0.04 + 0.18

= 1 ± 1.96 × √0.22

= 1 ± 1.96 × 0.469041576

= 1 ± 0.9193214889

Confidence Interval

= 1 - 0.9193214889

= 0.0806785111

≈ 0.081

1 + 0.9193214889

= 1.9193214889

≈ 1.919

Therefore, the 95% Confidence Interval for the difference between the two population mean completion times =

(0.081, 1.919)

5 0

3 years ago