What is the equation of the circle in center - radius form: x² + y2 + 12x - 10y
- 7 = 0?

Answers

Answer 1

Answer:

Radius:  √ 61

Step-by-step explanation:

Complete the square for  x^ 2 + 12 x = ( x + 6 ) ^2 − 36

Substitute   ( x + 6 ) 2 − 36  for  x 2 + 12 x  in the equation  x 2 + y 2 + 12 x − 10 y = 0

= ( x + 6 ) 2 − 36 + y 2 − 10 y = 0

Move  − 36  to the right side of the equation by adding  36  to both sides

= ( x + 6 ) 2 + y 2 − 10 y = 0 + 36

Then you know the rest: radius will be √ 61

Answer 2

The center coordinate of the circle is (6,5) with a radius = 7.34

What is the equation of the circle?

The equation of the circle is: [tex](x-a)^{2} + (y-b)^{2} = r^{2} x^{2}[/tex]

Substituting the values in the equation:

[tex](x-a)^{2} + (y-b)^{2} = r^{2} x^{2} - 2ax + a^{2} + y^{2} - 2by +b^{2} - r^{2} = 0[/tex]

⇒  -2ax =  -12x

⇒  a = 6.

-2by = -10y

b= 5.

⇒ a² + b² - r² =  -7

⇒  6² + 5² + r² = -7

⇒ 36 + 25 + r² =  -7

⇒ r² = 54

r = 7.34

Center coordinate (6,5) with r = 7.34

Learn more about the equation of the circle here: brainly.com/question/1471134

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Related Questions

Which of the following lists of ordered pairs is a function?
A. (3, –2), (2, –1), (3, 4), (4, 7)
B. (0, 4), (1, 2), (1, 0), (2, 3)
C. (2, 5), (3, 8), (4, 11), (4, 12)
D. (1, 7), (2, 5), (3, 6), (4, 1)

Answers

Answer:

D

Step-by-step explanation:

In this case, we can define a function as a "relation and the set of ordered pairs that doesn't contain 2 pairs with matching components"

In A above, (3,-2), (2,-1), (3,4), (4,7)

There is a repeat of 3 in both (3, -2) and (3,4) so this can't be considered a function.

B. (0, 4), (1, 2), (1, 0), (2, 3)

There is a repeat of 1 in both (1, 2) and (1, 0), so this is not a function.

C. (2, 5), (3, 8), (4, 11), (4, 12)

4 is repeated in (4, 11) and (4, 12) so this cancel out its probability of it being a function.

D. (1, 7), (2, 5), (3, 6), (4, 1)

D. (1, 7), (2, 5), (3, 6), (4, 1)There is no repeat of components, so this is considered a function.

A number added to five cubed.
Write an equation

Answers

Answer:

x+5^3

Step-by-step explanation:

Let x be the number

cubed is raised to the third power

x+5^3

IVE BEEN STUCK ON THIS FOR ABOUT 3 HOURS
The distance your friend travels in y (miles) running x hours is represented by the equation
y = 7.5x.
a. Graph the equation and interpret the slope

b. how many minutes does it take for your friend to run one mile

Answers

a. Is the attached image. The slope is 7.5x

b. 1 = 7.5x

x = 1.33333…

This is hours so we must multiply this by 60

x = 8 min

I got the answer but I don't know how to show my work, can ya'll tell me what I should write??

Answers

Answer:

one side is 16, the other is 8[tex]\sqrt{3}[/tex]

Step-by-step explanation:

30-60-90 angle triangle always give the following sides

1-[tex]\sqrt{3}[/tex]-2 , which is a-b-c

to label your triangle as such

8= a

other leg =b

hypotenuse = c

so. if a =8, then

c = 8*2 =16

b=8[tex]\sqrt{3}[/tex]

5. How is each centimeter on a ruler further divided?

tenths

fourths

sixteenths

O eighths.

Answers

Centimeters is divided into Tenths

Can you give me the answers for these four? It's passed due and I need to get it turned in ASAP! Please help!

Answers

1. -15x
2. -30r-17
3. n-10
4. 21n-12

Explanation: For the first problem, combine the terms with x. For the second problem, combine -17r and -13r, then combine -1 and -16. For the third problem, all you have to do is combine -9 and -1. For the fourth problem, combine 6n and 15n, and then combine 7 and -19. Hope this helps!

Help me
Will mark brainliest
Do not give the answer like this
‘answer in a file’ otherwise I will report
More points will be given
My question is Q7.

Answers

here u go! sorry I didn't give an exact answer but i hope this works bc it did for me

Volume:
Rectangular prism on top of the other rectangular prism:

Length • Height • Width

Substitute

2 • 1 • 6 = 12

Bottom rectangular prism:

Length • Width • Height

Substitute

8 • 4 • 6 = 192

Add

192 + 12 = 204 cm^3

Surface area:

Upside down T: 2((8 • 4)+(2•1)) = 68

Top down part 1: (2 • 6) = 12

Top down part 2: 2(3 • 6) = 36

Side part 1: 2(6 • 4) = 48

Side part 2: 2(6 • 1) = 12

Bottom: 8 • 6 = 48

Add: 68 + 12 + 36 + 48 + 12 + 48 = 224 cm^2

Volume: 204 cm^3

Surface area: 224 cm^2

Anyone Please Help (for A Brainly )

Answers

Answer:

y < x + 1

Step-by-step explanation:

Put the answer in desmos graphing calculator

the answer is y ≤ x + 1

ok done. Thank to me :>

for a brainlist pls answer
+ accurate explanation

Answers

The answer is (-2, 1) Step-by-step explanation

what is the answer Factorise: 2x² +7x+6.

Answers

Answer:

2x  + 3 )(x   + 2 )

Step-by-step explanation:

2x² + 7x + 6          

Find two numbers multiplied together to get 6

and if you multiply one by 2, the answer is 7:

Tested:                                  

6 & 1  but 6 · 2 + 1 = 13 or 6 + 2 · 1  = 8 No

2 & 3  and 2 · 2 + 3 = 7    Yes

2x² = 2x  & x

 all signs are positive

   trinomial  factoring  (            )(            )

                                     (     +     )(      +    )

    2 and 3 are the numbers to use    (2x  + 3 )(x   + 2 )   or     (2x + 2) (x + 3)

The largest number goes with the 2x.

Therefore (2x  + 3 )(x   + 2 )

Check 2x(x + 2) + 3(x + 2)

              2x² + 4x + 3x + 6

              2x² + 7x + 6         checked                            

Answer:

11[tex]x[/tex]+6

Step-by-step explanation:

2[tex]x^{2}[/tex]= 4[tex]x[/tex] because 2 *2 = 4 + x = 4[tex]x[/tex]

since 7[tex]x[/tex] is a like term we add it to 4[tex]x[/tex] and it becomes : 11[tex]x[/tex]

Since 6 does not have a variable we do not add anything to it so, it stays the same and the simplified expression becomes : 11[tex]x[/tex] + 6

50 point question. Please help my math grade is way to low

Answers

1/4g = 1/2h 1/2g = 1h 2h = 1g 3h = 1 1/5 g
Hope this helps + hopes this is correct

Answer:

1 1/2

Step-by-step explanation:

it takes 15 min to leak 1/8 just multiple the min to 3 hours which then you'll get 1 1/2 gallons that will leak at 3 hours

what is The answer?

Answers

The answer is 58x+28

Sorry if it’s wrong

Answer:

134

Step-by-step explanation:

niomie bakes 24 cookies in 10 minutes. at this rate how many cookies can she bake in 30 minutes

Answers

Answer:

She can bake 72 cookies in 30 minutes

Step-by-step explanation:

24 · 3 = 72

The Radius of a circle is 5 cm. Find the area of the circle, correct to one decimal place.

Answers

Answer:

78.5

Step-by-step explanation:

[tex]r^{2}[/tex]x3.14 (pie)

so then substitute.

5x5=25

25x3.14=78.5

9,654 rounded to the thousands place

Answers

The answer to this question is 10000

Answer:

10,000

Step-by-step explanation:

So 9 is the thousands place.

To round you just gotta see if 5 or up or 4 or down.

so it’s 5 or up so we add 1

so 10,000

10. What is the value of c? ​

Answers

Answer:

VALUE OF C = SUCK IT BRO

Step-by-step explanation:

The fraction 7/12 is found between which pair of numbers on a number line?

Answers

Answer:

B

Step-by-step explanation:

[tex]\dfrac{13}{24}< \dfrac 7{12} < \dfrac 34[/tex]

(4, -3); slope = -1 ​

Answers

Answer:

y + 3 = - x + 4 or y = - x + 1

Step-by-step explanation:

Assume you are looking for an equation of the line passing through (4, -3) and having a slope - 1.

Use point-slope form:

y - y₁ = m(x - x₁)y - (-3) = - 1(x - 4)y + 3 = - x + 4

or

y = - x + 1

Equation in point slope form

y-y1=m(x-x1)y+3=-1(x-4)y+3=4-xy=-x+1

PLS HELP ASAP ILL GIVE BRAINLKEST I PROMISE ITS DUE IN A FEW HOUR

Answers

question 1. is 2

question 2 -13

Answer: Question 2 answer is 4        Question 3 answer is 12

Step-by-step explanation:

Question 2: 42*4=168

43*5=210

PLZ HELP 100 POINTS AND DUE TODAY I WILL BE SO GRATEFUL!!

Answers

Answer:

A) 15(20x14) = 4,200

Step-by-step explanation:

20 pounds each day per horse

so 2 weeks is 14 days

which means 20x14

then there are 15 horse

so 15(20x14)

4,200

Will give brainliest!

Answers

Answer:

[tex] \frac{1}{2} + \frac{5}{8} [/tex]

[tex] \frac{1 \times 4}{2 \times 4} + \frac{5}{8} [/tex]

[tex] \frac{4}{8} + \frac{5}{8} [/tex]

[tex] \frac{9}{8} [/tex]

[tex]1 \frac{1}{8} [/tex]

Answer:

all, but the bottom

Step-by-step explanation:

They all add up correctly but the one on the bottom makes no sense.---------------------------------------------------------------------------------------------------------------------------

divide 81 ft in the ratio 5 :4

Answers

Answer:

Rr = 51 : 68

Step-by-step explanation:

Which is the best way to fix the following run on sentence

Answers

Answer:

C

Reasoning:

You should add a period to fix the run-on sentence because they're two different ideas. (They don't fit in the same sentence.)

David’s bank offers a 36-month Certificate of Deposit (CD) with an APR of 2.25%. Use the compound interest formula to answer the following: a) If P = 2000, what is A(8)? b) Solve the equation A(t) = 4000 for t. c) What principal P should be invested so that the account balance is $2000 in three years?

Answers

Using compound interest, it is found that:

a) A(8) = 2389.66

b) t = 31.15

c) P = 1870.85

Compound interest:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

A(t) is the amount of money after t years.  P is the principal(the initial sum of money).  r is the interest rate(as a decimal value).  n is the number of times that interest is compounded per year.  t is the time in years for which the money is invested or borrowed.

In this problem:

The APR is of 2.25%, hence [tex]r = 0.0225[/tex].No information about the number of compounding per year, hence [tex]n = 1[/tex].

Item a:

[tex]P = 2000[/tex], hence:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

[tex]A(8) = 2000\left(1 + \frac{0.0225}{1}\right)^{8}[/tex]

[tex]A(8) = 2389.66[/tex]

Item b:

[tex]A(t) = 4000[/tex], hence:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

[tex]4000 = 2000\left(1 + \frac{0.0225}{1}\right)^{t}[/tex]

[tex](1.0225)^t = 2[/tex]

[tex]\log{(1.0225)^t} = \log{2}[/tex]

[tex]t\log{1.0225} = \log{2}[/tex]

[tex]t = \frac{\log{2}}{\log{1.0225}}[/tex]

[tex]t = 31.15[/tex]

Item c:

[tex]A(3) = 2000[/tex], hence:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

[tex]2000 = P\left(1 + \frac{0.0225}{1}\right)^{3}[/tex]

[tex]P = \frac{2000}{(1.0225)^3}[/tex]

[tex]P = 1870.85[/tex]

A similar problem is given at https://brainly.com/question/24850750

PLEASE I NEED HELP!! Due TODAY!!!!! I need someone who is actually good at this!!

Answers

Answer:

#8= B

#6= C

#7= D

#9= C

#10= A

Step-by-step explanation:

[First one, aka #8] c

- subtract 7x from both sides

- divide by 5

- slope is m is y = mx + b

[Second one, aka #7] is d

- subtract 2x from both sides

- divide by 5

- find the negative reciprocal

[Third one, aka #6] is c

- will have a slope of 2 since it is parallel

- plug the point into y = 2x + b and solve for b

[Fourth one, aka #9] is a

- change in d over change in c

- 29 - 20 / 6 - 0 = 9/6 = 3/2

[Fifth one, aka #10] is b

- I created the system:

2h + m = 2.85

3h + 2m = 4.45

- Because he had two hotdogs (2h) and one milk (m), and then 3 hotdogs (3h) and 2 milk (2m) so option b matches the best

Have a nice day!

  I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

fill in the blanks ANGLES (I WILL GIVE BRAINLIEST! PLS HELP!)

refer to attachment for question

Answers

Answer:

See below

Step-by-step explanation:

If two triangles are congruent, then the corresponding sides and angles are congruent with each other.

Given:

ΔRED ≅ ΔSUN

The following are congruent parts:

∠E ≅ ∠URE ≅ SU∠DRE ≅ ∠NSU∠R ≅ ∠S

Note Pay attention to order of vertices when comparing the congruent parts

[tex]\\ \sf\longmapsto <E\cong <U[/tex]

[tex]\\ \sf\longmapsto \overline{RE}=\overline{SU}[/tex]

[tex]\\ \sf\longmapsto ∆DRE=∆SUN[/tex]

[tex]\\ \sf\longmapsto <R\cong <S[/tex]

Hope it helps

Find the area of the figure below.

Please help me with this I don’t understand it!

Answers

Answer:

ans :240 cm²

Step-by-step explanation:

see the pic

....ik its messy but hope u understand

and I hope the ans is correct

Use intercepts to graph the equation -x+5y=5

Answers

I hope this helps answer your question

I need help on this question please

Answers

Answer:

ABC -- not similarΔJKL ~ ΔHIG, AA similaritynot similar

Step-by-step explanation:

a) Side ratios in the smaller triangle are 3:4:6. In the larger triangle, they are 5:6:9. These are not equivalent ratios, so the triangles are not similar.

__

b) The missing angle in the left triangle is 90° -55° = 35°. This matches the acute angle shown in the right triangle, so the right triangles are similar by the AA similarity criterion. The given triangle JKL starts with the largest acute angle, then the right angle, so the similarity statement must be ...

  ΔJKL ~ ΔHIG

__

c) All we know for sure is that the vertical angles are congruent. We need information about a pair of sides or of another angle before any similarity can be claimed. The triangles are not necessarily similar.

What is the value of this expression when c = 3 and d = 7? 15+c2⋅d−c3

Answers

Answer:

The answer to the equation is 48.

Answer:

The value of this expression is 48

Step-by-step explanation:

15 + c2 * d - c3

c = 3

d = 7

Substitute the value of c and d

15 + (3)2 * 7 - (3)3

Multiply the parenthesis first

15 + 6 * 7 - 9

Now multiply 6 and 7

15 + 42 - 9

Now add 15 and 42

57 - 9

Now subtract

= 48

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