The equation of a circle is 3x^2+3y^2_7x_6y_3=0.Find the length of its diameter.​

Answers

Answer 1

I assume the _ characters are supposed to be minus signs, as in

3x ² + 3y ² - 7x - 6y - 3 = 0

Move the 3 to the right sides, and complete the square in x and y :

(3x ² - 7x) + (3y ² - 6y ) = 3

3 (x ² - 7/3 x) + 3 (y ² - 2y ) = 3

x ² - 7/3 x + y ² - 2y = 1

(x ² - 7/3 x + 49/36) + (y ² - 2y + 1) = 1 + 49/36 + 1

(x - 7/6)² + (y - 1)² = 121/36

(x - 7/6)² + (y - 1)² = (11/6)²

The circle thus has radius 11/6, so its diameter is 2 • 11/6 = 11/3.


Related Questions

Help me WILL PICK BRAINLIEST

Ok so the equation is 5 (n - 4) = -60. We're supposed to find out what n is but I don't know. help meeeee

Answers

n is 7 :] ...

Step-by-step explanation:

pls mark brainlest

Answer:

n = -8

Step-by-step explanation:

5 (-8 - 4) = -60

5 (-12) = -60

-60 = -60

Do it on any calculator that's what you'll get

Write the expression using exponents. 8 x 8 x 8 x 8 x 8​

Answers

Answer:

8^{5}  or 32,768

Step-by-step explanation:

8 x 8 x 8 x 8 x 8

= 8² + 8²

=8²+²

=8^5

Can someone Help? thank you! :)

Answers

Answer:

$3

Step-by-step explanation:

Since he’s leaving a 20% tip, we need 20% of 15.

To solve, multiply 20/100 (20%) by 15:

20/100*15 = 300/100 = 3

He will leave a $3 tip.

Answer:

$3

Step-by-step explanation:

To solve this problem, first, one must convert the percent of the tip to decimal form. This can be done by dividing the percent by 100. Then one will multiply this value by the total bill.

20% * 15

= 0.2 * 15

= 3

"The difference between the circumference and diameter of a wheel is 18cm. Find the radius of the wheel. Use 3.14 for Pi. Round to the nearest tenth."

Answers

Answer:

[tex]4.2\ \text{cm}[/tex]

Step-by-step explanation:

d = Diameter of wheel

The difference between the circumference and diameter of a wheel is 18 cm.

[tex]2\pi r-d=18\\\Rightarrow \pi d-d=18\\\Rightarrow d(\pi-1)=18\\\Rightarrow d=\dfrac{18}{\pi -1}\\\Rightarrow d=\dfrac{18}{3.14-1}\\\Rightarrow d=8.41\ \text{cm}[/tex]

The diameter of the wheel is 8.41 cm so the radius will be [tex]\dfrac{8.41}{2}=4.205\approx 4.2\ \text{cm}[/tex].

range of f(x)=3x^2-30x-9

Answers

Answer:

y ≥ -84

Step-by-step explanation:

-84 id the vertex so it is the lowest possible value for the range

2x + 3 = -x + 12

Solve the equation, explanation is good.

Answers

Answer:

3

Step-by-step explanation:

2x + 3 = -x + 12

subtract 3 from both sides

2x = - x + 9

add x to both sides

3x = 9

divide by 3

x = 3

which expression has a constant of 5?

Answers

Answer:

A

Step-by-step explanation:

i’m pretty sure it’s (A) :)

witch one is the function ​

Answers

Answer:

B

Step-by-step explanation:

a function doesn't have any repeating x values

the answer is B. it’s a function cause there’s only one output for each input. so if you graph it no points will be on the same line

Just read this over to see if this sounds good. It's my intro paragraph. Give me some insight if I need to change anything. Honest opinions please


People of the past and present judge each other by their class. This could relate to how much wealth they have as well as their social class or economic status. These judgments separate us as a society, and we live our lives around these judgments. Class, in simple words, is a group of people or things categorized by the quality and economic status. This relates to the novel The Great Gatsby by some of the characters in the novel, such as Tom and Daisy Buchanan who are sardonic and in love with material luxury.

·
Daisy Buchanan is a beautiful, charming woman from Louisville, Kentucky. For a while, she was with Gatsby before he went to war but later married Tom Buchanan because he had a promised wealthy life that he could provide her. In the novel, during the reunion at Daisy's house in the east egg, "'You make me feel uncivilized, Daisy,' I confessed on my second glass of corky but rather impressive claret. 'Can't you talk about crops or something?'" Nick's statement shows the wealthy class of the east egg and how Daisy flaunts her wealth to everybody instead of enjoying the people around her.

Answers

Answer:

This is amazing great job

Step-by-step explanation:

The ___________________________ of an object is how heavy the object is

Answers

Answer:

Mass

Step-by-step explanation:

Answer:

the answer is weight.

Step-by-step explanation:

hope this helps!! please mark brainliest.

f(x) = 9x2 - 4

Find the zeros of the function

Answers

Answer:

I believe that the answer is 14.

Step-by-step explanation:

hope it helped

9. Which
of the following is a proper fraction?
A 12/10
B. 5/4
C.7/10
D.10 1/9​

Answers

Answer:

c

Step-by-step explanation:

because in a proper fraction the numerator is less than the denominator

A dairy company can make 1200 units of product each week. To meet the needs of its regular customers, the dairy company must produce at least 300 units of cheese, and 450 units of yogurt. If the profit for each unit of cheese is $60 and for each unit of yogurt is $90, how many units of each type of dairy product should the dairy company make to maximize its profit?
Answers:
300 yogurt and 450 cheese


300 cheese and 900 yogurt


450 yogurt and 750 cheese


750 yogurt and 450 cheese

Answers

Answer:

300 cheese and 900 yogurt

Step-by-step explanation:

300 cheese and 900 yogurt

Triangle WXY, with a vertex X at (3, 0), is rotated clockwise 270° about the origin.

Which of the following rotations is equivalent 270° clockwise rotation about the origin?

clockwise 270°
counterclockwise 90°
counterclockwise 360°
clockwise 90°

Answers

A rotation of 270 would be equal to 630, 990, etc. Adding 360 degrees would result in the same rotation.

Answer:

counterclockwise 360°

Step-by-step explanation:

Charley has 1 ⅞ pounds of trail mix. If each bag can hold 1/12-pound of mix, how many full bags can be made?

Answers

Answer:

9

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

1 7/8 = 15/8

15/8 ÷ 1/12 = 15/8 × 12/1 = 45/2 or 22 1/2

HI PLS HELP
x^2 - 6x + ___ = ( _____ )^2
Select one:
a. 9; x + 3
b. 9; x - 3
c. -6; x + 6
d. -6; x - 6

Answers

Answer:

Hello

Step-by-step explanation:

Answer:

B. 9; x-3

Hope this helps!

What number is the the value of the digit 7 one hundred times as much as the value of the digit in 532,736 A)27,038 B). 73,645 C).124,743 D) 736,942

Answers

I dont know sorry

Step-by-step explanation:

2/17=X/9


what does x equal??

Answers

Answer:    Multiply to remove the fraction, then set equal to  

0

and solve.

Exact Form:

X  =  18 /17

Decimal Form:

X  =  1.05882352 …

Mixed Number Form:

X  =  1 1 /17

2

17

=

X

9

what does  

x

equal??

Multiply both sides of the equation by  

9

.

2

17

9

=

X

9

9

Simplify.

Tap for more steps...

18 /17  =  X

Rewrite the equation as  

X  =  18 /17 .

X  =  18 /17

The result can be shown in multiple forms.

Exact Form:

X  =  18 /17

Decimal Form:

X  =  1.05882352 …

Mixed Number Form:

X  =  1   1 /17

Step-by-step explanation:

2/17=X/9

what does x equal??

Please tell me the answer to 8 to the tenth power times 6 to the 4 power? I really need to know

Answers

Answer:

1391569403904

Step-by-step explanation:

Answer:

1.3915694e+12

Step-by-step explanation:

I need help on this. Can someone explain it?

Answers

Answer:

noooooooooooooooooooooo

I’ve attached my work....
Hope it helps!
Have a nice day or night :O
Any concerns just comment and I can respond

Find the rate of change between (3, 8) and (6, 26)

Answers

Answer:

6

Step-by-step explanation:

The slope m between the 2 points is a measure of the rate of change.

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (3, 8) and (x₂, y₂ ) = (6, 26)

m = [tex]\frac{26-8}{6-3}[/tex] = [tex]\frac{18}{3}[/tex] = 6

Then rate of change is 6

How many moles is 1.50 X 10^23 molecules NaCl ?

Answers

Answer:

One mole NaCI

hope it help :)

5x+6y+4, 3x+7z+6, and t+6h+2s+5​

Answers

Answer:

1st x=66y

2nd x=35z

3rd 6h+2s+t+5

Step-by-step explanation:

MArk BRAINLIEST FOR 4 MATH ALGEBRA CALCULATORS

Look at the image below

Answers

Answer:

your answer will be 12

Step-by-step explanation:

[tex]4x-6=42\\\\4x=42+6\\\\4x=48\\\\x=12[/tex]

have a nice day ^_^

Answer:

[tex]x=12[/tex]

Step-by-step explanation:

∠B=∠E

7x+10=947x=94-107x=84x=8yx=8y/7x=12

------------------

∠A=∠D

42=4x-64x=6+424x=48x=48/4x=12

⭒☆━━━━━━━☆⭒

hope it helps...

have a great day!!

(3RD TIME POSTING THIS)
Write the word sentence as an inequality
A number x is no more than - 8

Answers

Answer:

x ≤ -8

Step-by-step explanation:

"A number x": x

"is no more than": ≤*

"-8": -8

x ≤ -8 is your answer.

*Note the choice of less than or equal too. "No more than" implies that it can technically be -8, only that it can't be greater than -8 (-7 or more).

~

ABC is the image of ABC under a translation

Answers

The translation is (x-8,y+5). To get from A to A’ you go left (x-axis) 8 times and up (y-axis) 5 times.

Find the median for the following set of numbers.
4, 18, 3, 29, 23
0 29
3
18
04

Answers

Answer:

3 is the median

Step-by-step explanation:

the median is just the middle number, the number in the middle of a sequence

3 is perfectly in the middle

hope this helps chu <3

How many degrees is angle A? ​

Answers

Answer:

128 degrees

Step-by-step explanation:

Answer:  112 degrees

============================================================

Explanation:

If we assume ABCD is a parallelogram, then the adjacent angles are supplementary.

So,

A+D = 180

A+68 = 180

A = 180-68

A = 112

Triangle DEF is on a coordinate plane with its
vertices located at D( – 3,5), E( – 3, - 2), and
F(3,0). What is the area of ADEF in square
units?​

Answers

Answer:

[tex]21\ \text{square units}[/tex]

Step-by-step explanation:

The points are [tex]D(-3,5), E(-3,-2)[/tex] and [tex]F(3,0)[/tex].

Area of a triangle is given by

[tex]A=\dfrac{D_x(E_y-F_y)+E_x(F_y-D_y)+F_x(D_y-E_y)}{2}[/tex]

[tex]\Rightarrow A=\dfrac{-3(-2-0)+-3(0-5)+3(5-(-2))}{2}[/tex]

[tex]\Rightarrow A=21\ \text{square units}[/tex]

The area of the given triangle is [tex]21\ \text{square units}[/tex].

Answer please to the best of your ability

Answers

Answer:

1.8 m

Step-by-step explanation:

h(T)=-9.8T^2+20T+1

just replace the T with 2

h=-9.8(2^2)+20(2)+1

-9.8×4+40+1=1.8m

1.8m

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