Determine the center and radius: x2 + y2 - 10x + 8y -8 = 0​

Answers

Answer 1

So our equation currently is ⇒ [tex]x^2+y^2-10x+8y-8 = 0[/tex]

Let's first move all the constant to one side and group 'like variables' together:

      [tex](x^2-10x)+(y^2+8y) = 8[/tex]

Now lets complete the square of both equations

    [tex](x^2-10x+25)+(y^2+8y +16) = 8 + 25 + 16\\(x-5)^2+(y+4)^2 = 49\\(x-5)^2+(y+4)^2 = 7^2[/tex]

Now we know the circle's general equation format is:

   ⇒[tex](x-h)^2+(y-k)^2 = r^2[/tex]

(h, k) ⇒ coordinate of the center of the circler ⇒ length of radius of circle

Thus the radius of the circle is 7

Hope that helps!


Related Questions

Divide $3600 among Nancy Beverly and Todd in the ratio 2:3:4?

Answers

Answer:

nancy: $800, beverly: $1200, todd: $1600

Step-by-step explanation:

finding the portion of one part of the ratio:


3600 ÷ 9 = 400 (9 came from 2 + 3 + 4 in the ratio)

Nancy: 2 x 400 = $800

Beverly: 3 x 400 = $1200

Todd: 4 x 400 = $1600

checking the answer:

1600 + 1200 + 800 = 3600


If you draw out a red marble, keep it, then draw out a
blue marble, is it independent or dependent probability?
Independent

Answers

Answer:

dependent

Step-by-step explanation:

the probability of drawing the blue marble was changed when you drew the red marble and did not put it back

Round 6.385 to the nearest half.

Answers

6.4 is the answer. 6.385 Rounded to the Nearest Tenth
To round 6.385 to the nearest tenth consider the hundredths’ value of 6.385, which is 8 and equal or more than 5. Therefore, the tenths value of 6.385 increases by 1 to 4.
That answer is 6.5
Hope this helps

Carlos ran 3 1/2 miles on Saturday and
2 1/2 miles on Sunday. How many yards
did Carlos run in all? Show your work.

Answers

Answer:

6 yard

Step-by-step explanation:

Since, it given that:

Carlos ran 3 1/2 miles on Saturday and 2 1/2 miles on Sunday.

And asking for how many yards carlos run in all

in all = add

3 1/2 + 2 1/2

Add the whole number

3 + 2 = 5

Since they have the same denominator we can just add them

1/2 + 1/2 = 1 whole

Since it a whole we can add to the whole number

5 + 1 = 6

Thus, Carlos run  6 yards.

Lenvy

Answer:

6 yards

Step-by-step explanation:

To Find:

How many yards did Carlos run in all?

Solution:

In all means addition in this question

Thus,

3 1/2 and 2 1/2

3 1/2 + 2 1/2

we can turn them into improper fraction and then find the answer
3 1/2 = 7/2 and 2 1/2 = 5/2

7/2 + 5/2 = 12/2

12/2 = 6

Hence, Carlos run 6 yards in all

[RevyBreeze]

can someone help mepleace

Answers

Answer:Click on the file below

Step-by-step explanation:

Helppppppppppppppppl

Answers

Answer: A

Step-by-step explanation: You're Welcome

Jack went to baseball practice at 5:45 p.m. He returned home at 8:22 p.m. How long was he gone for? SHOW YOUR WORK PLEASE

Answers

Answer:

2 hours and 37 mins

Step-by-step explanation:

you want to get to a full hour so 5:45 closes hour would be 15 minutes later which would be 6:00 and then you add 2 hours which would be 8:00 and you have 22 minutes to get 822 p.m. so you add the minutes together 15 + 22 which you'll get 37 and you'll have the 2 hours on the side so it would be 2 hours and 37 minutes

Five friends share 4 bags of trail mix equally.
What fraction of a bag of trail mix does each friend get?

Answers

each friend gets 4/5 of a bag of trail mix

a game company sold 82 bored games and 18 card games. What is the ratio of the number of bored games to the total number of games

Answers

Answer: 82:18 or 4.55:1

Expl:

The ratio of something describes how many x per y.

Here, we have 82 Board Games sold VS 18 Card Games.

The exact Ratio of BG to CG is 82:18 and when simplified you may find 4.55:1, by dividing 82/18, and checking with 4.55x18=82.

Hope this Helped!

Answer:
Number of board games= 82
Total number of games = board games + card games
=82 + 18 = 100
Ratio= number of board games / total number of games = 82/100
Simplify 82/100 to get:
Ratio= 41/50
HOPE THIS HELPS :)

Graphing a linear equation of the form y=mx how do I plot y=-2x

Answers

a line through the origin with a slope of -2 (for every 1 unit to the right, move 2 units down)

when plotting, plug in values for x, i would recommend starting with 0, 1, and -1, then find y for each of these x values, then connect the points

Help me for 10 help me please

Answers

what do you need help with

Answer:

Answer:

what do u need help in?

Triangle ABC is a right triangle, and mC is 78°.


What is mA?
A. 2°
B. 12°
C. 22°
D. 32°

Answers

Answer:

[B] 12°

Step-by-step explanation:

Given:

Triangle ABC is a right triangle, and m∠ C is 78°.

Solution:

Knowing that Triangle = 180 degree

Square in a right angle = 90° angle.

Thus,

78+90 =168

180-168 is 12

Hence, the answer is [B] 12 degree

Kavinsky

Answer:

the answer is

Step-by-step explanation:

B

A water balloon is launched in the air from a height of 12 feet and reaches a maximum height of 37 feet after 1.25 seconds. Write an equation to represent the height h of the water balloon at time t seconds. Then, find the height of the balloon at 2 seconds.

Answers

The height of the balloon is given as h(t) = -16t² + 40t + 12 at 2 seconds, the height is 28 feet

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let h represent the height of the water balloon after t minutes, hence:

h(t) = -16t² + vt + h₀

Where h₀ is the initial height = 12 feet and v is the initial velocity, hence:

h(t) = -16t² + vt + 12

The height of 37 feet after 1.25 seconds, hence:

37 = -16(1.25)² + v(1.25) + 12

v = 40 m/s

h(t) = -16t² + 40t + 12

After 2 seconds:

h(t) = -16(2)² + 40(2) + 12

h(2) = 28 feet

The height of the balloon at 2 seconds is 28 feet

Find out more on equation at: https://brainly.com/question/1214333

*URGENT* PLEASE HELP

Answers

[tex] \frac{3z}{2} - 5 = 28 \\ [/tex]

[tex] \frac{2}{3} . \frac{3z}{2} = 33. \frac{2}{3} \\ [/tex]

[tex]z = 22[/tex]


2. Brian thinks that 1.75 x 10-3 is less than 1.25 10-2. Is he correct? Justify your answer.

Answers

Answer:

Yes

Step-by-step explanation:

please help me with this question

Answers

Ok I’m here what did you need help on

∠2 and ∠4 are "blank" angles.

Answers

Answer:

angles 4 and 2 are congruent

Step-by-step explanation:

the same

A shape is made of 12 right triangles of equal size. Each right triangle has a base of 4cm and a height of 5cm. What is the total area, is square centimeters, of the shape?

Answers

Answer: 120 cm²

Step-by-step explanation:

Let's start by finding the area of one triangle

The formula for finding the area of a triangle is [tex]A=\frac{hb}{2}[/tex]

Where

A is the area

h is the height (5 for this)

and b is the base (4 for this)

Let's sub in our values and solve.

[tex]A=\frac{(5)(4)}{2}\\A=\frac{20}{2}\\A=10[/tex]

Since there are 12 triangles in the shape we must multiply our area for one triangle by 12 to find the total area of the shape

12×10=120

What is the distance between the points(-4,-1) and (-6,8) in simplest radical form.

Answers

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-4}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{-6}~,~\stackrel{y_2}{8})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[-6 - (-4)]^2 + [8 - (-1)]^2}\implies d=\sqrt{(-6+4)^2+(8+1)^2} \\\\\\ d=\sqrt{(-2)^2 + 9^2}\implies d=\sqrt{85}[/tex]

what can you add to get negative 8 and multiple to get positive 7

Answers

Step-by-step explanation:

-1 and 8 Below we prove the -1 and 8 multiple to -8 and add up to this -1 × 8= -8

If a giraffe eats 75 pounds of acacia leaves a day, how many grams would that be?​

Answers

Answer:

34,050 grams

Step-by-step explanation:

To convert pounds to grams, you must multiply the mass (75) by 454.

454 * 75 = 34,050

34,050 grams is equal to 75 pounds.

Hope this helps:)

Complete the two-way frequency table below, which shows the
distribution of blood types for students in their first year at a local
college.
O AB AB Total
Male (M) 210 17474 42
Female (F)|31526111163
Total
What is P(ABM), and are the events "the student is male" and "the
student has blood type AB" independent events? (7 points)
а
21
; they are independent because P(M N AB) = P(M)
250
· P(AB)
Ob
T!
; they are dependent because P(M NAB) P(M) · P(AB)
5
Ос
21
; they are independent because P(M N AB) = P(M)
625
P(AB)
Od
1
--; they are dependent because P(M N AB) = P(M) · P(AB)
4

Answers

Answer:

a.

Step-by-step explanation:

Probability that is a AB type blood given is a Male

P(AB/M)  = 42/500 = 21/250

Probability that they are Male with an AB type blood out of all AB type blood people = Probability that is a Male out of all students

P(M∩AB) = P(M)  

 (42/105) = (500/1,250)

            .4 = .4 ✅

The events "the student is male" and "the student has blood type AB" are independent events.

Can someone help me I need this done ASAP like TODAY… I know D. I just dont know A, B, C. Please helppppppppp meeeeeeeeee

Answers

Answer:

Please see explanation

Step-by-step explanation:

base= -3

the exponent is 5

in expanded form -3×-3×-3×-3×-3

evaluation = -3×-3×-3×-3×-3= -243

last number of 1²+2²+...+2007²

Answers

Answer:

4028054 is the last number when we operate it....

Help help help math math

Answers

Answer:

-2

Step-by-step explanation:

(-3x/2) - 3 = 3

add 3 to both sides

(-3x/2) = 3

multiply both sides by 2

-3x = 6

divide both sides by -3

x= -2

8th Grade Math!!

find the area of the rectangle.

the area of the rectangle is __ square feet. (simplify your answer)

Answers

Answer:

[tex]48x^{13}\ ft^2[/tex]

Step-by-step explanation:

Step 1:  Determine the area of the rectangle

To find the area of the rectangle we just need to do Length * Width which will give us the area in square feet (it really depends on the units that they are giving the L and W in).

[tex](8x^6) * (6x^7)[/tex]

[tex]((8*6)(x^6*x^7))[/tex]

[tex](48*x^{6+7})[/tex]

[tex]48x^{13}[/tex]

Answer:  [tex]48x^{13}\ ft^2[/tex]

4 to the 5th power times 4 to the -7th power divided by 4 to the -2nd power

Answers

Answer:

1

Step-by-step explanation:

4^(5)×4^(−7)÷4^(−2)

=4^(5+(-7)-(-2))

=4^(5-7+2)

=4^(0)

=1

Hey!

Your answer is 1.

Heres how i got the answer

4^(5)×4^(−7)÷4^(−2)

=4^(5+(-7)-(-2))

=4^(5-7+2)

=4^(0)

Hope this helps!

Simplify: ^6 square root x times ^4 square root y^3

Answers

The expression [tex]\sqrt[6]{x} \times \sqrt[4]{y^3}[/tex] is an illustration of an algebraic expression

The simplified expression of [tex]\sqrt[6]{x} \times \sqrt[4]{y^3}[/tex] is x^1/6y^3/4

How to simplify the expression?

The expression is given as:

[tex]\sqrt[6]{x} \times \sqrt[4]{y^3}[/tex]

Rewrite the expressions as exponents

x^1/6 * y^3/4

Multiply the expresions

x^1/6y^3/4

Hence, the simplified expression of [tex]\sqrt[6]{x} \times \sqrt[4]{y^3}[/tex] is x^1/6y^3/4

Read more about expressions at:

https://brainly.com/question/723406

Answer:

Step-by-step explanation:

edge

4. Convert: 32 cups = gallons 10 gallons 3 gallons 2 gallons 1 gallon​

Answers

Answer:

2 gallons

Step-by-step explanation:

:/


Find the product of the sum of 76 and 13 and the difference of 92 and 49.

Answers

3827

hope it helps...!!!

Other Questions
ignore the scribble but could somebody please help me? SavedWhat is an example of an alliteration?Question 1 options:The vase flew off of the shelf. The plant liked to fly.I like to eat piePowerful pandas punch parro Kristallnacht was an example of an anti-JewishMark this and retumSave and ExitNextSubmitTO Question 6 of 20What was the main reason Columbus went to the American continents?A. To find new markets for European goodsB. To work for the king and queen of FranceC. To prove that the world was roundD. To look for a new trade route to India please help (due tomorrow) Factor out the coefficient of the variable term. customer pays $96 for 6 pillows. If each pillow costs the same amount, what is the cost per pillow, in dollars? I am a fourteen-year-old girl with bad spelling and a messy room. if it helps any, i will tell you i have always felt funny using chopsticks and my favorite food is hot dogs. why does okita include this description of the speaker? to emphasize the cultural differences between japanese americans and other americans to accentuate the social injustice of japanese americans being interned to highlight the fact that the speaker is no different from any other average american girl to call attention to the tear in the narrators relationship with her best friend What ideas from Montesquieu did our founding fathers incorporate into ourconstitution and why? Help me pls I don't understand this pls help me! :I350in^3 x 1 gal/231in^3 If y=sin^3 x,prove that d^2y/dx^2 - 2 cot x dy/dx +3y=0 Which expression is equivalent to 2(3 - x)? Why did the third estate hate the first and second estate log4(2-x)=log4(-5x-18) Two-step inequalitiesFind the solution set of the inequality4.2 - 1< 11. What is the best description of the geology of mars? it is diverse, and different parts formed at different times. it is like earth, with volcanoes, ocean valleys, and thick crust. it is simple, containing the same type of material and appearance everywhere. it is like the moon, because it is made of rock inside and on the surface. ___________ waves are the only waves, besides visible light, to reach Earth's surface. HELP!! In which phylum is the organism thought to be the worlds oldest living tree?. The kindergarten class at Stokes Elementary drinks about 210 pints of milk per week. How many gallons of milk does the class drink in 10 weeks? Round your answer to the nearest tenth of a gallon if needed. while on vacation Ernesto travelled from us to Europe when he got there he converted his american dollar to euros he gave the bank teller 850$and was given back 630 euros at the end of vacation Ernesto has 150 euros to convert back to dollar how much money in us dollar did Ernesto have when he got home