All categories

2 years ago

Write the equation in standard form. Identity the center and radius. x² + y2 + 8x-4y-7=0

Mathematics

1 answer:

Masteriza [31]2 years ago

3 0

Answer:

See below

Step-by-step explanation:

<u>Given equation:</u>

x² + y² + 8x - 4y - 7 = 0

<u>Convert this to standard form by completing the square:</u>

(x - h)² + (y - k)² = r², where (h, k) - center, r - radius
x² + 2*4x + 4² + y² - 2*2y + 2² - 16 - 4 - 7 = 0
(x + 4)² + (y - 2)² - 27 = 0
(x + 4)² + (y - 2)² = 27
(x + 4)² + (y - 2)² = (√27)²

The center is (- 4, 2) and the radius is √27

You might be interested in

Rewrite 5/6 and 1/4 as fractions with a least common denominator.

Lesechka [4]

10/12 and 3/12 6 x 2=12, what you do to the bottom you do to the top 5 x 2= 10 4 x 3=12, what you to the bottom you do to the top 1 x 3=3

3 0

3 years ago

Read 2 more answers

A hockey player takes 150 shots each week. Sixty percent of these shots go in. How many shots do NOT go in?

Viefleur [7K]

60 percent of 150 is 90. So that means 60 shots do not go in.

4 0

3 years ago

What is 1/3 + 1/5 + 1/2

Shalnov [3]

Answer: 1.03333333333

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

PLEASE HELP ME PLEASE !!!

Nimfa-mama [501]

Answer:

i need more information about the question... i suggest googleing it

Step-by-step explanation:

4 0

3 years ago

Louisa drew a polygon with six sides of equal length. If the perimeter of Louisa's polygon is 95.4 centimeters, how long is each

Agata [3.3K]

Answer:

15.9 centimeters

Step-by-step explanation:

the information we have is:

Perimeter: $P=95.4cm$

Number of sides of the polygon: $n=6$

since each side has equal length, we can use the following equation to find the measure of one side of the polygon, the equation for perimeter:

$P=nl$

where n is the number of sides and $l$ is the length of each side.

So we clear for $l$ and we get:

$l=\frac{P}{n}$

and subtituting the known values:

$l=\frac{95.4cm}{6}\\ l=15.9cm$

each side is 15.6 centimeters long

3 0

3 years ago