If circumference of a circle x^2 +y^2 -6x+2y+c =0 be 6pie units, find c

Answers

Answer 1

Circumference = 2× pie × r

Circumference = 6pie

Thus ;

2pie × r = 6pie

r = 3

____________________________________________

[tex]r = \frac{1}{2} \sqrt{ ({ - 6})^{2} + {2}^{2} - c} \\ [/tex]

[tex]3 = \frac{1}{2} \sqrt{ 36 + 4 - c} \\ [/tex]

[tex]6 = \sqrt{40 - c} [/tex]

[tex]( {6})^{2} = ({ \sqrt{40 - c} })^{2} [/tex]

[tex]36 = 40 - c[/tex]

[tex]c = 4[/tex]


Related Questions

A rectangle has vertices at coordinates 0,0 3,0 0,6 what is the area of the rectangle

Answers

Answer:

18

Step-by-step explanation:

dont mind my answers thanks for helping me out have a good day

Answers

Answer:

ACD and DCB are supplementary and others are correctly chosen ...

The figure is made up of a semi circle and triangle find the area of the figure use 3.14
Help pleaseee points=13

Answers

Answer:

63.25

Step-by-step:

39.25 + 24 = 63.25 ft squared

Answer:

Step-by-step explanation:Does anyone know what this would be?

A taco shop sells tacos and fountain drinks.
Nash bought two tacos and three fountain drinks
for $13. Everly bought four tacos and two
fountain drinks for $14. Write and solve a
system of equations to determine the cost of a
taco and a fountain drink.

Answers

The cost of one taco is $2, while the cost of one fountain drink is $3.

What are the system of equations that represent the question?

2t + 3f = $13 equation 1

4t + 2f = $14 equation 2

Where:

t = number of tacos bought f = number of drinks boughtHow many drinks were bought?

Multiply equation 1 by 2:

4t + 6f = 26 equation 3

Subreact equation 2 from equation 3

4f = 12

Divide both sides by 4

f = 12 / 4

f = $3

How many tacos were bought?

Subsistute for f in equation 1

2(t) + (3 x 3) = $13

2t + 9 = 13

2t = 13 - 9

2t = 4

t = 4/2

t = $2

To learn more about simultaneous equations, please check: https://brainly.com/question/25875552

The table shows the average bill totals for given numbers of diners at Simone’s restaurant. If the rate is constant and you graph this relationship with the number of people along the x-axis and bill amounts along the y-axis, which points will lie on the line you get?
Persons Bill Amount
1 ------------$40
2 $80
7 -------------$280
9 $360
11 $440




A.(12, 460
B.(20, 800)
C.(24, 1,020
D.(27, 1,080)
E.(28, 1,110)
HELPP

Answers

Answer:

(B) and (D)

Step-by-step explanation:

it's B and D because they are the only two points with constant rate

What is the equation of a line that passes through the hypotenuse of the right triangle in the graph?

A. 1/5x
B. y=5x
C. y=-5x
D. y=2/5x

Answers

Answer:

y = 5x

Step-by-step explanation:

Hey there!

To start with the hypotenuse of a triangle is the longest side of it

and to get an equation of a line you would use

y = mx + b

where m is the slope

and b is the y-intercept

to get the slope you would do rise over run

rise/run

take 2 points and see how much it rises and runs to the next point

you would then get 5

then we figure out the y-intercept where the line intercepts the y-axis

in this case 0

In conclusion the answer is y = 5x + 0

we can also remove the 0 because it is unnecessary

y = 5x

montreal canadiens memorabilia is on sale for 40% off due to their disappointing season how much would a jersey that cost $80 be after sales and tax
what is 40$ of 80?

Answers

You mean 40% of 80?

40*100 = 0.4

0.4*80 = 32

Answer:

nothing much just got home

A company makes concrete bricks that are shaped like rectangular prisms. Each brick is 5inches long, 4inches wide, and 2inches tall. How much concrete will they need to make 1600 bricks?

Answers

Answer:

The answer would be 64,000.

Step-by-step explanation:

To find the area of one concrete block you will multiple length x width x height. Using the measurements provided, one block will equal 40. You will then multiple this by 1,600 to equal 64,000.

Line segment A' B' is the result after line segment AB goes through a single transformation. In which transformation would the measure of line segment A'B' be different than the measure of line segment AB?​

Answers

[tex]\color{indigo}\rule{1pt}{1000000pt}[/tex]

f(3) if f(x) = 2x + 5 =​

Answers

Answer:

11

Step-by-step explanation: Uh- if X=3 then it would be 2(3) +5. 2x3 is 6, and 6+5 is 11.

Answer:

11

Step-by-step explanation:

2(3) + 5

simplify

6 + 5 = 11

hope this helps

The price of an item has been reduced by 55%. The original price was $51

Answers

Answer:$22.95

Step-by-step explanation: The original price is 51%

Discount is 55% of $51= 55/100×51=$28.05

Deduct the discount from the original price. $51-$28.05=$22.95

Evaluate the expression:
Will mark brainlyest!!

Answers

Answer:

6

Step-by-step explanation:

pemdas=parenthesis, exponents, multiplication, division, addition, subtraction. with this, we multiply 2 x the absolute value of -3, which is just 3. therefore, 6. now we see we need to subtract the absolute value of 6 from the absolute value of 8, which gives us 2. and 2+4 is 6.

Answer: 6

Step-by-step explanation:

8-2 x 3+4

2x3=6

8-6+4

2+4

=6

hope this helps

LOCKS SOON WILL GIVE BRAINLEST! 50 POINTS!!! For triangle xyz , the measures of angles x,y, and Z are known. Which method should be used to start solving triangle xyz?
law of sines
law of cosines
neither law can be used
both laws can be used

Answers

If the angles of measures of angles X, Y, and Z are neither law of sine and cosine can be used to solve the triangle.

What is the law of cosines and sines?

The law of cosines can be used to determine the measures of the triangle if the angles are known. The law is given by:

a² = b² + c² - 2bc*cosA

a,b,c are the sides and A, B, C are the angles.

The law of sines are used to determine the measures of the triangle if the angles are known. The law is given by:

a/sinA = b/sinB = c/sinC

If the angles of measures of angles X, Y, and Z are neither law of sine and cosine can be used to solve the triangle.

Find out more on cosines and sines at: https://brainly.com/question/25830682

MAn article is
bought and sold at a profit of one fourth of selling
price. Find the profit percent.

Answers

Answer:

25% profit

Step-by-step explanation:

Statement

An article is bought and sold at a profit of one fourth of selling price.

⇒ Buying price = x

⇒ Selling price = Buying price (1 + 1/4) = 5x/4

Profit %

Selling price - Buying price / Buying price(5x/4 - x) / x(x/4) / x⇒ 1/4⇒ 0.25⇒ 25% profit

Find, from first principle the derivative of 1/x^2+1 with respect to x.​

Answers

Answer:

d/dx = -2/x^3

Step-by-step explanation:

1/x^2 + 1

We can solve for the derivative using the power rule

d/dx = -2/x^3 + 0

d/dx = -2/x^3

show how to rewrite 1/5 with the denominator of 10

Answers

Answer:

2/10

Step-by-step explanation:

Since the denominator is 10, we must find what the numerator is so that the fraction can be equal to 1/5. Since 10 is twice of 5, we multiply 2 by 2 as well. With that, we get a final answer of 2/10.

Line m is represented by the equation y +2 = (x + 4). Select all equations that represent lines perpendicular to line

Answers

Answer

y = x + 2

hope this helped

lol

I’ll give you brainliest for the first person with an answer

Answers

Answer:

1296mm^2

Step-by-step explanation:

Surface Area of the Rectangular Prism to the left on top of the box:

Area of square = lw, 9mm * 9mm = 81mm, then multiply by 2 because 2 of the squares are a part of the surface, giving 162mm^2

Area of a rectangle =lw, 9mm * 9mm = 81mm, then multiply by 2 again, because 2 rectangles are a part of the surface, giving 162mm^2

So, the total surface area of the rectangular prism to the left on top, is 324mm^2

Surface Area of the Triangular Prism:

Area of a triangle: 1/2bh, and our base length would be 12, because we have to subtract 9 from 21 since the base length of the triangle isn't stated. Anyways, A = 1/2bh, so A = 1/2(12)(9) = 54mm^2, but multiply by two, so we get 108mm^2.

Area of the rectangle: lw, so 15mm * 9mm = 135mm^2

So, the total surface area of the triangular prism is 243mm^2

Surface Area of the Rectangular Prism at the bottom:

Area of the long rectangles in front = lw, 21mm * 9mm = 189mm^2, multiply by 2, 378mm^2

Area of the rectangles to the side = lw, 9mm * 9mm = 81mm^2, multiply by 2, 162mm^2

Area of the rectangle at the very bottom = lw, 21mm * 9mm = 189mm^2

So, the total surface area of the rectangular prism at the bottom is 729mm^2

Add all the total surface areas of each shape to get the total surface area of the figure:

324mm^2 + 243mm^2 + 729mm^2 = 1296mm^2

The surface area of the figure above is 1296mm^2

It took an airplane 3 hours to go 1725 miles.

How many miles per hour

Answers

1725Miles/3hours = 575Miles/Hour

Answer:

575 mph

Step-by-step explanation:

The plane is traveling at 575 mph.

1725/3

575

Help for the brainiest answer quickly please

Answers

Answer:

C

Step-by-step explanation:

*URGENT*
If you were at the Market Square and you wanted to get to the Doctor’s Office, according to the map, how would you get there? (Write your answer according to units.)

Answers

Answer: (2,-5)  X:2. Y:-5

Move accross 2 units to the right and then 5 units down from 2

Find the missing measurement for x.

Answers

Answer:

EASYYY   90°

Step-by-step explanation:

30 + 60 = 90

180-90=90

also

thats a right angle which is always 90°

ALSO

the angle opposite another angle is always the same measurement.

180-90=90 right angle

Solve 196x2 + 25 = 0 by using square roots.

Answers

Sq of 196 is 14 then x2 = 28 then 25= 5

Find the perimeter of the parallelogram.

Will mark brainlyest!!

Answers

Answer:

58cm

Step-by-step explanation:

Answer:

58

Step-by-step explanation:

16 +16=32

13+13=26

32+26=58

Hope it Helps

Find the surface area of the right triangular prism (above) using its net (below).

Answers

Answer:

The Answer is 96 units squared

Step-by-step explanation:

First, you find the area of all the sides:

Triangle 1: 6

Triangle 2: 6

Rectangle 1: 21

Rectangle 2: 28

Rectangle 3: 35

Then you add all of the numbers together.

6+6+21+28+35 = 96 units squared

I hope this helps :)

Value (in billions) 2017 2018

Total assets $16. 20 $16. 80

Total liabilities $14. 60 $14. 80

Deposits $11. 90 $12. 20


From 2017 to 2018, borrowings by commercial banks changed by $ _ billion (round your answer to two decimal places).

From 2017 to 2018, owner’s equity for commercial banks changed by $_ billion (round your answer to two decimal places)

Answers

Answer:

Borrowings = $0.10 Billion

Owner's Equity = $0.40 Billion

Step-by-step explanation:

Total liabilities = deposits + borrowings

Borrowings = total liabilities - deposits

Borrowings in 2017 = $14.60 - 11.90 = $2.70 billion

Borrowings in 2018 = $14.80 - $12.20 = $2.60 billion

Borrowings from 2017-2018= 2.60 - 2.70 = $0.10 billion

Owner's Equity= total assets - total liabilities

Owner’s equity in 2017 = $16.2 - $14.6 = $1.6 billion

Owner’s equity in 2018 = $16.8 - $14.8 = $2 billion

Owner's Equity from 2017-2018= 2 - 1.6 = $0.4 billion

Hope this helps!

The Owner's Equity for commercial banks in  2017-2018 is $0.4 billion.

The given is,

Borrowings = $0.10 Billion

Owner's Equity = $0.40 Billion

What is the formula for the total liabilities?

Total liabilities = deposits + borrowings

So we have Borrowings = total liabilities - deposits

Borrowings in 2017

= $14.60 - 11.90

= $2.70 billion

Borrowings in 2018

= $14.80 - $12.20

= $2.60 billion

Borrowings from 2017-2018

= 2.60 - 2.70

= $0.10 billion

Owner's Equity= total assets - total liabilities

Owner’s equity in 2017

= $16.2 - $14.6

= $1.6 billion

Owner’s equity in 2018

= $16.8 - $14.8

= $2 billion

Owner's Equity from 2017-2018

= 2 - 1.6

= $0.4 billion

To learn more about the Borrowings visit:

https://brainly.com/question/15948713

Find the solution(s) to 2x2 - 5x – 3 = 0. Check all that apply.
A. x = }
B. x= -1
0 C. x= -3
D. x= 2
E. x = 3

Answers

Answer:

  E.  x = 3

Step-by-step explanation:

The equation can be factored by considering the factors of the product of the first and last coefficients. Those factors must have a sum equal to the middle coefficient.

  (2)(-3) = -6 = (-6)(1) = (-3)(2) = ... other factors with positive sums

The sums of the factor pairs shown are -5 and -1. We're interested in the factor pair {-6, 1}. Replacing the middle term coefficient with the sum of these, we can write the equation in a way that lets us factor pairs of terms.

  2x² -6x +x -3 = 0 . . . . . . . . replace -5x with -6x+1x

  2x(x -3) +1(x -3) = 0 . . . . . . factor pairs of terms

  (2x +1)(x -3) = 0 . . . . . . . . . complete the factoring

Solutions are the values of x that make these factors zero:

  2x +1 = 0   ⇒   x = -1/2

  x -3 = 0   ⇒   x = 3

_____

Additional comment

A number of methods are used to find the factors of a quadratic with a leading coefficient other than 1. When the coefficients are small integers, this is one of the more straightforward methods: actually listing and examining the pairs of factors of "ac." If "ac" has a large number of divisors, other methods may be more practical.

Answer:

x = 3  AND  x = -1/2

Step-by-step explanation:

its right

What is the y-value of the vertex of the function f(x)=−(x+8)(x−14)?

Answers

Answer:

f(x) = -(x + 8)(x -14)

= -(x2 - 112 - 6x)

= -x2 + 6x + 112 --- (1)

We know the graph of an equation y = ax2 + bx + c where a ≠ 0 is a parabola. The parabola opens upwards if a > 0 and opens downwards if a < 0. The vertex of the parabola is the point where the axis and parabola intersect. Its x coordinate x = -b/2a and its y coordinate is found out by substituting x = -b/2a in the parabola equation.

The parabola given in the problem statement has a negative coefficient of x2 and hence it is a parabola which opens downwards. Also for the equation

a = -1, b = 6 and c = 112. Therefor the x-coordinate of the vertex is

x = -b/2a

= -(6)/[2(-1)]

= 3

Substituting the value of x = 3 in equation (1) we get,

Now y = -(3)2 + 6(3) + 112

= -9 + 18 + 112 = 121

So the vertex point coordinates are (3, 121) and the y value is 121.

The graph below verifies the vertex point.

vertex of the graph

What is the y-value of the vertex of the function f(x) = -(x + 8)(x - 14)?

Summary:

The y-value of the vertex of the function f(x) = -(x +

Answer:

Step-by-step explanation:

D or 121  got it right on edgenuty

What’s The Answer Of This? Please HELP FAST

Answers

Answer:

those are corrisponding angles which means they equal each other making <H and <G both 57 degrees

Two consecutive positive integers have a product of 156. Find the integers.
The integers are ___

Answers

Explaination :

So here this question is of concept linear equations. As in linear equations we assumes the unknown number as an variable after that an equation would be formed which we would solve and get the answer. Here also we would be doing same.!!

So let us assume the unknown positive integers as a and (a + 1).

Product of both integers :-

a (a + 1) = 156 [Equation formed]

Solving the equation :-

[tex]: \longrightarrow \: \sf{a \: (a + 1) \: = \: 156} \\ \\ : \longrightarrow \: \sf{a \times (a + 1) \: = \: 156} \\ \\ : \longrightarrow \: \sf{a {}^{2} \: + \: a \: = \: 156} \\ \\ : \longrightarrow \: \sf{a {}^{2} \: + \: a \: - \: 156 = 0} \\ \\: \longrightarrow \: \sf{a {}^{2} \: - \: 12a + 13a\: - \: 156 = 0} \\ \\ : \longrightarrow \: \sf{a(a \: - \: 12) + 13(a\: - \: 12) = 0} \\ \\ : \longrightarrow \: \sf{a(a \: - \: 12) + 13(a\: - \: 12) = 0} \\ \\ : \longrightarrow \: \sf{(a \: - \: 12) (a\: + \: 13) = 0} \\ \\ : \longrightarrow \: \red{\bf{a \: = \: 12 }}[/tex]

Therefore,

First positive integer is 12

Second positive integer :-

2nd positive integer = a + 1 2nd positive integer = 12 + 1 2nd positive integer = 13

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