All categories

3 years ago

Use completing the

Mathematics

1 answer:

lapo4ka [179]3 years ago

8 0

Answer:

center: (-1 , 5)

radius: 7

Step-by-step explanation:

circle: (x – h)²+ (y – k)² = r², with the center at (h, k) and the radius "r"

x² + y² + 2x - 10y - 23 = (x + 1)² + (y - 5)² - 49 = 0

(x + 1)² + (y - 5)² = 49 = 7²

center: (h , k) (-1 , 5)

radius: 7

You might be interested in

Find an equation of the line. Write the equation using function notation.

Gemiola [76]

The equation of line perpendicular to 4y = x-8 passing through (3,-3) is:

$y = -4x+9$

Step-by-step explanation:

Given equation of line is:

$4y=x-8$

We have to convert the given line in slope-intercept form to find the slope of the line

So,

Dividing both sides by 4

$\frac{4y}{4} =\frac{x-8}{4}\\y = \frac{1}{4}x-\frac{8}{4}\\y = \frac{1}{4}x-2$

Let m1 be the slope of given line

Then

$m_1 = \frac{1}{4}\\$

Let m2 be the slope of line perpendicular to given line

As we know that produt of slopes of two perpendicular lines is -1

$m_1.m_2 = -1\\\frac{1}{4} . m_2 = -1\\m_2 = -1*4\\m_2 = -4$

The slope intercept form of line is given by:

$y = m_2x+b$

Putting the value of slope

$y = -4x+b$

to find the value of b, putting (3,-3) in equation

$-3 = (-4)(3) + b\\-3 = -12 +b\\b = -3+12\\b = 9$

Putting the value of b in the equation

$y = -4x+9$

Hence,

The equation of line perpendicular to 4y = x-8 passing through (3,-3) is:

$y = -4x+9$

Keywords: Equation of line, slope

Learn more about equation of line at:

#LearnwithBrainly

4 0

3 years ago

Malik had two tests on Wednesday. On the science test, each question was worth 4 points. On the math test, each question was wor

Gre4nikov [31]

Answer:

Science Test

Step-by-step explanation:

If he missed 12 points on each test (-12) he missed 2 questions on the math test and 4 questions on the sceince test.

7 0

3 years ago

Pls hellllp will gib brainliest

muminat

Answer:

Step-by-step explanation:

312-96=216

216/24=9

8 0

3 years ago

Read 2 more answers

Marlon's TV plan costs $40.66 per month plus $6.71 per first-run movie. How many first-run movies can he watch if he wants to ke

Liula [17]

Answer:

He can watch 8 movies

Step-by-step explanation:

100-40.66=59.34

6.71 x 8 = 53.68

therefore the most amount of movies he can watch is 8

8 0

2 years ago

An animal shelter currently has 30 dogs and 15 cats. What is the ratio of

Alenkasestr [34]

Answer:

1:3

Step-by-step explanation:

The total animals is 45 and the cats is 15.

The ratio is 15:45

Simplified, it would be 1:3 because you can divide each side my 15.

Hope this helped!! :)

Brainliest?!?!

Have a safe and wonderful day/night/afternoon!!!

7 0

3 years ago