All categories

3 years ago

Show that the equation represents a circle by rewriting it in standard form, and find the center and radius of the circle.

1 answer:

4 0

5x^2 + 5y^2 + 10x − y = 0 it is the same of 
x^2 + y^2 + 2x −1/5y = 0
and then 
(x + 1)^2 - 1+ (y−1/10)^2 -1/100=0
 (x + 1)^2 + (y −1/10)^2 =(101/100)

the center is C(-1, 1/10), and the radius is R= sqrt(101)/10

You might be interested in

What is the mean of this data set? {14, 7, 2, 8, 3} Enter your answer as a decimal in the box.

Assoli18 [71]

The mean of the data set is 6.8.

Mean is the average value of the given set of observations. In statistics, we also come across different types of mean such as Arithmetic, Geometric and Harmonic mean.

Given

The data set is 14, 7, 2, 8, 3.

The mean of the data set is given by;

$\rm Mean = \dfrac{Sum \ of \ all \ data}{Number \ of \ data}\\\\Mean =\dfrac{14+7+2+8+3}{5}\\\\Mean = \dfrac{34}{5}\\\\Mean=6.8$

Hence, the mean of the data set is 6.8.

To know more about mean value click the link given below.

brainly.com/question/4209766

3 0

2 years ago

For which acute angle are the sine of the angle and cosine of the angle equal? A. 30º B. 45º C. 60º D. 75º

Vera_Pavlovna [14]

For a right triangle, the sine of an angle is the ratio of the length of the side opposite to it and the hypotenuse and the its cosine is the ratio between the side adjacent to it and the hypotenuse. From the given choices, the angle being referred to is letter B. 45°.

5 0

3 years ago

Read 2 more answers

Lexie is making a scale drawing of a soccer field that is 120 yards long and 80 yards wide. If the field in Lexie’s drawing is 3

timurjin [86]

Answer:

The field in Lexie's drawing should be 20 cm long.

Explanation:

Making a scale drawing requires that the figure be similar, which implies that the sides of the figures be proportional.

The proportion for a drawing 30 cm wide and unknown length with the soccer field that is 120 yards long and 80 yards wide is:

length of the drawing / width of the drawing = length of the field / width of the field

Thus, using x for the unknown width of the drawing:

30 cm / x = 120 yard / 80 yard

Thus, you must solve for x:

30 cm × 80 yard = 120 yard × x

x = 30 cm × 80 yard / 120 yard = 20 cm.

Hence, the field in Lexie's drawing should be 20 cm long.

4 0

4 years ago

Ana drinks chocolate milk out of glasses that each hold 1/8 of a liter

maxonik [38]

Answer:

5 3/5

Step-by-step explanation:

Convert 1/8 to 10/80 and 7/10 to 56/80 56/10= 5 3/5

7 0

3 years ago

Paul purchased 3 video games for $17.25 each. Which expression is the best choice to help him determine the total amount of mone

mr_godi [17]

Answer:

The answer is C or (3) × (17.25) = 51.75; He spent $51.75.

Step-by-step explanation:

i say this because 17.25 time 3 equal 51.75

6 0

3 years ago