Hey!! Can any of y'all help me find the center and radius of this equation?

x^2+y^2-8x+2y=-8

Answers

Answer 1

Answer:

Center: (4,-2)

Radius: 2√3 units

Step-by-step explanation:

We wish to find the center and radius of the equation x²+y²-8x+2y=-8

Step 1: Complete the square for both variables:

x²+y²-8x+2y=-8

x²-8x+y²+2y=-8 (Rearrange)

x²-8x+16+y²+2y+4=-8+16+4 (Add to both sides)

(x-4)²+(y+2)²=12 (Reduce trinomials)

Step 2: Interpret the center and radius of the circle:

The equation of a circle is (x-h)²+(y-k)²=r² where (h,k) is the center of the circle and r is the radius of the circle. Since (h,k) translates to (4,-2), this means the center of the circle is (4,-2). Since r²=12, then r=√12=2√3 units


Related Questions

10. How do you find the product of the following? Show all your work. a. Binomial squared: (2x + 3)2 b. Binomial squared: (2x - 3)2 C. Difference of squares: (x + 5)(x - 5)

Answers

Answer:

A

Step-by-step explanation:

A because when you find the product you need to add

need to know the answer

Answers

Answer:

Please find attached the required graph of the equation, y = x² - 2·x - 8, created using MS Excel

Step-by-step explanation:

The given function required to be plot is y = x² - 2·x - 8

Therefore, the coordinates of the vertex of the parabola formed by the equation (h, k) is given as follows;

h = -(-2)/(2×1) = 1

k = 1² - 2×1 - 8 = -9

The coordinates of the vertex = (1, -9)

The roots of the equation is given when y = 0, as follows;

At the roots, we have;

x² - 2·x - 8 = 0

By factorizing, we get

x² - 2·x - 8 = (x - 4)·(x + 2) = 0

Therefore. the roots of the equation are;

x = 4, and x = -2

The coordinates of the roots are;

(4, 0), and (-2, 0)

Two other points can be found at when x = 3 and when x = 0 as follows;

When x = 3, we have;

y = 3² - 2×3 - 8 = -5

(3, -5)

When x  = 0, we have;

y = 0² - 2×0 - 8 = -8

(0, -8)

The five points are;

(1, -9), (4, 0), (-2, 0), (3, -5), (0, -8)

The graph of the equation created using MS Excel showing the five points is attached.

What is cos 30°? 60° 1 90° 30° V3 O A. v3 O B. 1 O c.​

Answers

Answer:

E

Step-by-step explanation:

Cos=Adjacent/hypotenuse

Cos30=rad3/2

The cosine function for Ф = 30 is equivalent to :

cos(30) =√3/2.

What are trigonometric functions?

There are six major trigonometric functions as -

Sine(x)Cosine(x)Tangent(x)Cotangent(x)Secant(x)Cosecant(x)

We can write the relation between them as -

Sine = 1/cosecantCosine = 1/secantTangent = 1/Cotangent

Also the following trigonometry relations hold true -

sin²Ф + cos²Ф = 1

1 + tan²Ф = sec²Ф

1 + cot²Ф = cosec²Ф

Given is a right angled triangle as shown in the image having 60 - 90 - 30 orientation and the measured sides as shown in the image.

We can write the cosine function as -

cosФ = Base/Hypotenuse

cos(30) = √3/2

So, we can conclude that the cosine function for Ф = 30 is equivalent to :

cos(30) =√3/2

Therefore, the cosine function for Ф = 30 is equivalent to :

cos(30) =√3/2.

To solve more questions on trigonometric functions, visit the link below-

https://brainly.com/question/30672622

#SPJ7

8 to the power of 3
pls answer

Answers

Answer:

512

Step-by-step explanation:

8x8x8=512

pretty simple

Answer:

512

Step-by-step explanation:

8*8*8=512

Joanne puts 40 bacteria in a petri dish. The population of bacteria is doubling every hour. Which function best represents the situation?

Answers

Key points:

In exponential growth, a population's per capita (per individual) growth rate stays the same regardless of population size, making the population grow faster and faster as it gets larger.
In nature, populations may grow exponentially for some period, but they will ultimately be limited by resource availability.
In logistic growth, a population's per capita growth rate gets smaller and smaller as population size approaches a maximum imposed by limited resources in the environment, known as the carrying capacity (
K
KK).
Exponential growth produces a J-shaped curve, while logistic growth produces an S-shaped curve.

can i have help please im not smart lol

Answers

Answer:

w + 1.3 = 2.7

How many 2-digit numbers are multiples of 5 but not 4?

Answers

Answer:

14

Step-by-step explanation:

The numbers you are describing can end in 5. But there are others as well. They are  t = 10 + 20*n where n goes from 0 to 4. So if n is 4 that means that t = 4*20 + 10 = 80 + 10 = 90.

Solution

15 25 35 45 55 65 75 85 95 are all divisible by 5 but not  4

10 30 50 70 90                     are all divisible by 5 but not 4


[tex]1 + 1[/tex]
im just happy to boost points​

Answers

The answer to this math question is 2

1) Find the area of a triangle with a height of 9 cm and a base of 5 cm.​

Answers

Step-by-step explanation:

area of triangle=1/2 base×height

1/2,×5×945/222.5cm²

stay safe healthy and happy..

WILL GIVE BRAINLIEST
write the slope intercept form of the equation with the given characteristics. slope = 4; passes through (-12,9)

Answers

Answer:

y = 4x + 57

Step-by-step explanation:

y = 4x + b

9 = 4(-12) + b

9 = -48 + b

57 = b

y = 4x + 57

hello please help i’ll give brainliest

Answers

Erosion should be the right answer

Answer:

Volcanic Eruptions, Mountain Range Formations, Earthquakes

Step-by-step explanation:

-5×3+7×4-54÷9+2 ( step by step explanation pls do fast...)​

Answers

Answer:

9

Step-by-step explanation:

-5×3+7×4-54÷9+2

-5×3+7×4-6+2

-15+28-6+2

-15-6+28+2

-21+30

9

Brainliest. Brainliest WHO WANTS A BRAINLIEST

Answers

Answer:

B

Step-by-step explanation:

Answer:

1. x > -25

2. x > -16

3. x > -2

4. x [tex]\geq[/tex] 10

Give brainliest

Dan spent $765.00 on equipment to open a business selling bumitos. He sells the burritos for $3.50 each. The cost of the ingredients to make each burito is $0.75

Answers

Answer: 3:50b>765.00+0.75 279 Burritos

Step-by-step explanation:

what is the mean of 3 6 11 7 4

Answers

6.2 is the correct answer!3 + 6 + 11 + 7 + 4 = 3131 ÷ 5 = 6.2


Which statements about the graphs of functions g(x) = 4x and f(x) = x are true? Select all that apply.

A. g is wider than
B. fand g open in the same direction
C. fand g have the same vertex
D. fand g have the same axis of symmetry

Answers

Answer:

A

Step-by-step explanation:

The city is planting new trees in its downtown to make the streets more comfortable for visitors. They are planting each tree 12 feet apart. How many trees can they plant on 2 miles of streets? Hint is that 5280= 1 mile. Please help

Answers

Step-by-step explanation:

let's make T= the number if trees...

If we're placing one tree every 12 feet for two miles, then:

T×(space between trees) = (number of miles)×(1mi.)

T×12ft. = 2×1mi. = 2×5280ft.

Dividing by 12ft. to isolate T gives us:

T=(2×5280)/12 = 880

So that'll be 880 trees for 2 miles of street.

The number of trees that they plant on 2 miles of streets will be 880 trees.

What is division?

Division means the separation of something into different parts, sharing of something among different people, places, etc.

The city is planting new trees in its downtown to make the streets more comfortable for visitors.

They are planting each tree 12 feet apart.

Then the number of trees that they plant on 2 miles of streets will be  

We know the conversion of miles into feet.

  1 mile = 5280 feet

2 miles = 10560 feet

Then the number of trees will be

Number of trees = 10560 / 12

Number of trees = 880

More about the division link is given below.

https://brainly.com/question/369266

#SPJ2

Help please I might fail…

Answers

Answer:

9 /4 which equals 2 and 1/4

Step-by-step explanation:

plugged into the calculator!

Which graphs shows I(-3,-1)

Answers

I’m not sure but maybe the second one

Answer:

Option 3  (lower left)

Step-by-step explanation:

What are two numbers that multiple to -64 and add to -12

Answers

Answer:

-16,4 are the two numbers

quadratic equation: I NEED HELP- ignore the answer I pressed it's wrong

Answers

The Greatest Common Factor is 12x^2

Someone help me with this pls

Answers

Answer:

y^6  or  y^13/y^7

Step-by-step explanation:

Solve for b.
- 28 – 6b= 8

Answers

Answer:

-6

Step-by-step explanation:

- 28 – 6b= 8

step 1 add 28 to each side

-28 + 28 cancels out

28 + 8 = 36

we now have -6b = 36

step 2 divide each side by -6

-6b / -6 = b

36 / -6 = -6

we're left with b = -6

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]b=-6[/tex]  

»»————- ★ ————-««  

Here’s why:  

We will have to preform inverse operations to solve for 'b'.

[tex]\boxed{\text{Solving the equation for 'b':}}\\\\-28-6b=8\\\\--------\\\rightarrow-28+28-6b=8+28\\\\\rightarrow-6b=36\\\\\rightarrow\frac{-6b=36}{-6}\\\\\rightarrow \boxed{\text{b=-6}}\\\\\text{The value of 'b' is \boxed{-6}.}[/tex]

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Your friend has n pennies. You have 29 pennies. You and your friend have a total of 40 pennies. Which equation could be used to find n?

Answers

Answer:

40-29=n

Step-by-step explanation:

You have 29 in total yall have 40

so to find ur friends we subtract

Answer:

Step-by-step explanation:

your pennies + your friends pennies = the total number of pennies between you two

so the equation would be :

29 + n = 40

(im not sure if you wanted it solved for n but here is the solution just in case)

29 + n = 40

n = 40 - 29

n = 11

Mahmoud is working out the height, h metres, of a tower

BT which stands on level ground.

He measures the angle TAB as 25°.

He cannot measure the distance AB and so he walks 80 m

from A to C, where angle ACB = 18° and angle ABC = 90°.

Calculate

Answers

Answer:

24.72 m

11.53 m

Step-by-step explanation:

Horizontal distance AB can be obtained from △ABC

From trigonometry :

Sin18° = opposite / hypotenus

Sin18° = AB / 80

AB = 0.3090169 * 80

AB = 24.72 m

The height BT, of tower from △ABT

From trigonometry :

Tan25° = opposite / Adjacent

Tan25° = h / 24.72m

h = Tan25 * 24.72

h = 11.527

h = 11.53 m

Hence, height of tower BT = 11.53 m

Please help! I will give Brainliest!

Answers

Answer:

A. 44/625

Step-by-step explanation:

There are 25 marbles total. To first calculate the probability of picking a yellow marble first can be represented as 11/25, the probability of picking blue is 4/25. We multiply these to figure out the probability of finding a yellow marble and then a blue one.

11/25 x 4/25 = 44/625

PLEASE HELP!! NO LINKS!!

Answers

Answer:

105°

cause You can measure an arc in degrees just like you measure an angle

A data set is made up of these values.
1, 4, 4, 5, 6, 8,9
Find the interquartile range.
A. 9 -1 = 8
B. 9-8 = 1
C. 4-1 = 3
O 0
D. 8 -4 = 4
SUBMIT

Answers

Answer:its D 8 -4 = 4

Step-by-step explanation:


Write an equation in slope-intercept form of the line that has a slope of -9 and a y-intercept of -4
ANSWER ASAP PLEASE!!

Answers

y=-9x-4

Slope intercept form uses the formula, y=mx+b, where m is the slope and b is the y- intercept.

I hope this helps. Have a great day!

Answer:

Y=-9x-4

Step-by-step explanation:

The formula for slope-intercept form is y=mx+b. M is the slope and b is the y-intercept. All you need to do is plug in the numbers. I hope I helped. :>

Need help with school please help

Answers

Answer:

26

Step-by-step explanation:

The triangle equals 180 degrees the two measurements we already have is 90 degrees (the right angle) and 64 degrees.

90+64=154 and 180-154=26.

So 26 is your answer because 90+64+26=180

Hope this helps!

Other Questions
4.- Una vagoneta de 1000 kg de peso parte del reposo en el punto 1 y desciende, sin rozamiento, por la va indicada en la figura. A) Calcular la fuerza que la va ejerce sobre la vagoneta en el punto 2, donde el radio de curvatura es de 6 m. B) Determinar el mnimo valor del radio de curvatura en el punto 3 para salvar dicho punto hello please help ill give brainliest The function f(t)=-16t^(2)+64 represents the height y (in feet ) of a water droplet t seconds after falling from an icicle. After how many seconds does the water droplet hit the ground Which of the following do Americans have the right to do according to Amendments 1-4? Check all of the boxes that apply.Bear armsResist a government searchPractice their chosen religionProtest government actionsAccuse someone of a crime in a blogBe protected from unwarranted search of their homesRefuse to house soldiers during peace time A dentist has male and female patients that range in ages from 10years old to 50 years old and up as shown in the table. What is theexperimental probability that the next patient will be female and inthe age range 22-39? Enter your answer in simplified fractionform. ExamThe blueprint's scale is1 inch : 9 feet. If the gym'sarea is 52 square inches on theblueprint, what is the actualsquare footage of the gym?The area of the actual gymis_square feet. Honestly I do not like bullies. If you are a bully than STOP. "Should college be free?" Argumentative essayI need an essay by tomorrow, no links please. Thank you. How is a person exposed to toxins? Explain each. (There are three ways to be exposed to toxic substances. What is X?? I reallyNeed help!!! While vacationiong, you decided to go bungee jumping off a cliff into the river. Your height as a function of time is modeled by the function h(t)= -16t^2+16t+370, where t is time in seconds and h is the height in feet. When did u hi the water? Round your answer to the nearest hundreth? Which statement best describes the U.S. economy in the 1790s? (20 POINTS, WILL MARK BRAINIEST)A. The U.S. economy relied on trade with Europe. B. The U.S. economy was based on hunting and fishing. C. The U.S. economy was based on farming. D. The U.S. economy relied on manufacturing. If anyone could help me I'll give you brainliest El sabor latino de la dieta americanaCuando t vas al supermercado, t puedes encontrar mucha comida con sabores latinos tradicional Unos sabores latinos tradicionales son chipotles (un tipo de jalapeo), dulce de leche- (un sabor simi al caramelo) y limn. Puedes encontrar muchas comidas con sabores latinos en el supermercado porq los sabores son deliciosos!Los consumidores latinos buscan comida con sabores latinos, pero los consumidores que no son latinos la buscan tambin! La dieta americana es una evolucin constante y el consumidor americano siempre busca sabores diferentes. Las compaas que producen comida para los consumidores americanos saben que a los americanos les gustan sabores diferentes. Por eso, las compaas combinan sabores latinos con comida americana tradicional. Adems, los supermercados saben que muchos consumidores buscan comidas regionales.Cul es el resultado? Cuando van al supermercado, los consumidores americanos encuentran much comidas latinas en los supermercados. Encuentran comidas populares como fajitas y tacos, pero tambi encuentran comidas regionales, como mole: una salsa hecha de chocolate y canela. Adems, l consumidores encuentran una gran variedad de productos que contienen los sabores latinos. Los sabor latinos estn en comidas diversas como el yogur, las hamburguesas y las papitas fritas.Preguntas de comprensin: Responde en ingls.1. What is the main idea of this article?2. According to the article, what are two groups of people that are looking for food with latin flavors?3. Which two groups or organizations know information about the American consumer that influenc what is found in the grocery store?4. What is one example of a regional food that can be found in many grocery stores?5. What is one reason from the article that American consumers like food with latin flavors? please help ill give brainliest!!! thanks Express 9+9+9+9 as a single multiplication operation. From the equation below, where is the center of the circle located and what is the radius?(x 4)2 + (y + 8)2 = 16A) Center: (4, -8) Radius = 4 B) Center: (-4, 8) Radius = 4C) Center: (4, -8) Radius = 16 D) Center: (-4, 8) Radius = 16 What is the slope of the straight line that goesthrough (1, 8) and (3, 4) ? Please help me due today Mia went for a long bike ride. She rode 10.25 kilometers each hour for 4.25 hours, how far did Mia travel on her bike ride?44.5625 km43.5625 km40.5000 km14.5000 km what would this be ?