Write the equation of a circle with a center at
(2, -9) and a radius of 7
Helpppp

Answers

Answer 1

Answer:

[tex]x^2+y^2+14y+36=0[/tex]

Step-by-step explanation:

Given that,

Center = (2,-9)

Radius of the circle, r = 7

We need to find the equation of a circle with a center at  (2, -9) and a radius of 7. It can be given by :

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Put h = 2, k = -9 and r = 7 So,

[tex](x-2)^2+(y-(-9))^2=7^2\\\\x^2+4-4x+y^2+81+18y=49\\\\x^2+y^2+14y+85-49=0\\\\x^2+y^2+14y+36=0[/tex]

Hence, this is the required solution.


Related Questions

There are 50 students going on the band field trip. They are planning on using two methods of traveling. They will use cars that can hold 5 students each and vans that can hold 7 students each. Let x represent the number of cars used and let y represent the number of vans used . Which of the following equations would be used to represent the situation?

A. x + y = 50
B. 5y = 7x + 50
C. 5x - 7y = 50
D. 5x + 7y = 50

Answers

Answer:

The answer is D

Step-by-step explanation:

Total # of student going field trip = 50 students

From the question, we know that they are planning to use two methods of traveling: car and van.

We also know that x represents the number of cars used and y represents the number of vans used.

We also know that cars can hold 5 students each and vans can hold 7 students each.

So the equation will be 5x+7y = 50. The answer is D.

7. In A.ABC. JB and KA are medians, JK = 10x - 12, AB = 9x + 18, JM = 21, KM = 23. AJ = 60. and
BK - 52

a. Find JK and AB. Round decimal answers to the nearest tenth.
b. Find the perimeter of AABC.
c. Find the perimeter of AABM.

Answers

Answer:

A) JK and AB =

[tex][tex] \boxed{( \theta) = \f{12}{( \theta)} }[/tex] So, =》 [tex] \dfrac{10}{5} = \dfrac{1}{ \( \theta) } [/tex] =》 [tex] \( \theta) = \dfrac{5}{2} [/tex][/tex]

B) AABC

[tex][tex] \boxed{( \theta) = {1}{( \theta)} }[/tex] So, [tex] 23}{-18=\\Ans } \boxed[/tex]

C) AABM:

[tex][tex] e \fbox{: }[/tex] The value of k for which [tex] \sin(jm) = \cos(x) [/tex] is [tex] \dfrac{\p}{2} [/tex] ans[/tex]

----------

please answer this is due at 11:59PM!!!

Answers

Answer:

Step-by-step explanation:

An explanatory variable is what you manipulate or observe changes in  while a response variable is what changes as a result (e.g., reaction times). The words “explanatory variable” and “response variable” are often interchangeable with other terms used in research.

help I have one hour left please​

Answers

Answer:

At 8:45

He was at 90

He then went 20 kilo meters.

So,your final answer is 20 kilometers.

Step-by-step explanation:

What are the two roots of the quadratic equation? y=x squared-3x-4

Answers

Answer:

{x | x ∈ R, 4,-1}

Step-by-step explanation:

[tex]y=x^2-3x-4[/tex]

[tex]y=x^2+x-4x-4[/tex]

[tex]y=(x^2+x)+(-4x-4)[/tex]

[tex]y=x(x+1)+(-4)(x+1)[/tex] Distributive property

[tex]y=(x+(-4))(x+1)[/tex] Distributive Property

[tex]y=(x-4)(x+1)[/tex]

set y to 0

[tex]0=(x-4)(x+1)[/tex]

set the factors to 0

[tex]0=x-4; 0=x+1[/tex]

[tex]4=x; -1=x[/tex]

Q.
Jim is buying a new front door for his house. What is the best estimate for the height of a door?

A) 7 inches
B) 7 yards
C) 7 feet
D) 70 feet​

Answers

Answer:

The best estimate would be C. 7 ft

Step-by-step explanation:

This is more of a logical question.  When you think about a door, 7 inches is out.  7 yards would be 21 ft and that is unusually tall for a door, as is 70 feet.

A parallelogram has a base of 10.75 inches and a height of 6 inches. Which is the area of the
parallelogram?
A 33.5 square inches
B 54.5 square inches
C 64.5 square inches
D 32.25 square inches

Answers

Answer:

C= 64.5 square inches :)

Step-by-step explanation:

To find the area of a parallelogram you have to use this formula:

A= bh b=base  h=height

So, with your given information, you can input the known variables

A= (10.75)(6)

A= 64.5 [tex]in.^2[/tex]

I hope this helps :)

The midpoint of JK is point L at (–1, 8). One endpoint is J(4, –15). Which equations can be solved to determine the coordinates of the other endpoint, K? Select two options. = –1 = 4 –15 + y1 =16 = y1

Answers

Using the formula of midpoint of a line, the coordinate of the endpoint k is (-6, 31)

What is Midpoint of a Line

The midpoint of a line is the point that is halfway between the two end points of the line. It can be found by taking the average (mean) of the x-values and the average (mean) of the y-values of the two endpoints.

The formula of midpoint of a line is given as;

M(x, y) = (x₂ + x₁) / 2, (y₂ + y₁) / 2

Since we have the midpoint and one endpoint, we can use the coordinate to find the missing coordinate.

The x - coordinate is calculated as;

-1 = (4 + x₁) / 2

-2  = 4 + x₁

x₁ = -2 - 4

x₁ = -6

The y - coordinates is calculated as;

8 = (-15 + y₁) / 2

16 = -15 + y₁

y₁ = 16 + 15

y₁ = 31

The coordinates of k is (-6, 31)

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Which of the following statements must be true based on the diagram below?
Select all that apply. (Diagram is not to scale.)

Answers

UV is a segment Bisector.

What is a segment Bisector?

A segment bisector is a line, ray, or segment that splits another line segment in half evenly at its center. The midpoint of the line segment is always bisected by the line, which divides it into two equally sized parts.

What is the bisector rule?

The angle bisector theorem states that a triangle's opposite side is divided into two parts by an angle bisector that is proportional to the triangle's other two sides.

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Natasha is 5 years older than Maurice. If the sum of their ages is 19, how old is Natasha?

Answers

Answer:

Natasha is 12 years ils and Maurice is 7 years old

Step-by-step explanation:

lets say that Maurice is 7 years old.

âgé of Natacha: +5 years ils than maurice

7+5=12

Let say Maurice is X
Natasha is x + 5

So now the equation is

X + ( x + 5) = 19

2x = 19-5

X = 14/2

X = 7

Maurice is X
That is 7

Natasha is X + 5
That is 12


:)

what fraction is equvlent to 75/100

Answers

3/4 is equivalent to 75/100

Answer:

3/4

Step-by-step explanation:

divide 75 by 100

PLEASE HELP! What is the sum of the geometric series?

Answers

Answer:

-2 is the answer of your question

hope it is helpful to you

A lab animal may eat any one of three foods each day. Laboratory records show that if the animal chooses one food on one trial, it will choose the same food on the next trial with a probability of 50%, and il will choose the other foods on the next trial with equal probabilities of 25%. If the animal chooses food #1 on an initial trial, what is the probability that it will choose food #2 on the second trial after the initial trial?

Answers

Answer:

The probability that it will choose food #2 on the second trial after the initial trial = 0.3125

Step-by-step explanation:

Given - A lab animal may eat any one of three foods each day. Laboratory records show that if the animal chooses one food on one trial, it will choose the same food on the next trial with a probability of 50%, and it will choose the other foods on the next trial with equal probabilities of 25%.

To find - If the animal chooses food #1 on an initial trial, what is the probability that it will choose food #2 on the second trial after the initial trial?

Proof -

By the given information, we get the stohastic matrix

[tex]H = \left[\begin{array}{ccc}0.5&0.25&0.25\\0.25&0.5&0.25\\0.25&0.25&0.5\end{array}\right][/tex]

As we know that,

The matrix is a Markov chain [tex]x_{k+1} = Hx_{k}[/tex]

Let

The initial state vector be

[tex]x_{0} = \left[\begin{array}{ccc}1\\0\\0\end{array}\right][/tex]

we choose this initial vector because given that If the animal chooses food #1 on an initial trial.

Now,

[tex]x_{1} = Hx_{0} \\ = \left[\begin{array}{ccc}0.5&0.25&0.25\\0.25&0.5&0.25\\0.25&0.25&0.5\end{array}\right]\left[\begin{array}{ccc}1\\0\\0\end{array}\right] \\= \left[\begin{array}{ccc}0.5\\0.25\\0.25\end{array}\right][/tex]

∴ we get

[tex]x_{1} = \left[\begin{array}{ccc}0.5\\0.25\\0.25\end{array}\right][/tex]

Now,

[tex]x_{2} = Hx_{1} \\ = \left[\begin{array}{ccc}0.5&0.25&0.25\\0.25&0.5&0.25\\0.25&0.25&0.5\end{array}\right]\left[\begin{array}{ccc}0.5\\0.25\\0.25\end{array}\right] \\= \left[\begin{array}{ccc}0.25+0.0625+0.0625\\0.125+0.125+0.0625\\0.125+0.0625+0.125\end{array}\right]\\= \left[\begin{array}{ccc}0.375\\0.3125\\0.3125\end{array}\right][/tex]

∴ we get

[tex]x_{2} = \left[\begin{array}{ccc}0.375\\0.3125\\0.3125\end{array}\right][/tex]

∴ we get

The probability that it will choose food #2 on the second trial after the initial trial = 0.3125

There are 8 boxes of erasers in the supply closet. Each box contains 9 erasers. How many erasers are there in all?

Answers

Answer:

each box contain 8 x 9 = 72

If each of the numbers in the following data set were multiplied by 12, what
would be the median of the data set?
28, 58, 20, 14, 18, 71,36
O A. 240
O B. 336
O C. 696
O D. 432

Answers

Answer:

A. 336

Step-by-step explanation:

have a good day! :)

Answer: B. 336 is the answer

‐3 + 4(a – 3b + 2) – 5(2 – a + 3b)

Answers

Answer: 15a – 12b – 5.

Step-by-step explanation: To solve this equation, we need to distribute the constants in front of the parentheses. Doing so, we get:

-3 + 4(a – 3b + 2) – 5(2 – a + 3b)

= -3 + 4a – 12b + 8 – 10 + 15a – 15b

= (15a – 12b) + (-10 + 8) – 3

= 15a – 12b + -2 – 3

= 15a – 12b – 5

Thus, the solution to the equation is 15a – 12b – 5.

Using the following conversions between the metric and U.S. systems, convert the measurement.
Round your answer to 6 decimal places as needed

1 meter = 3.28 feet
1 Liter = 0.26 gallons
1 kilogram = 2.20 pounds

0.828 oz=________cg

Answers

Using the conversion between metric and U.S systems the value of 0.828oz is 2347.34 cg.

What is metric conversion?

A system of measurements is called the metric system. It is employed in calculations and research across the globe. Some examples of metric system are distance in lengths, weights in grams, volume in milliliters and much more.

The conversion between ounces (oz) into centigram (cg) is given as follows:

1 oz = 2834.95

To convert 0.828 oz into centigram we need to multiply the value 0.828 oz with 2834.95 as follows:

(0.828) (2834.95)

2347.35

Hence the value of 0.828 oz is 2347.34 cg according to the conversion from metric to US system.

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Can y’all help me on question 35?!

Answers

Answer:

c

Step-by-step explanation:

C becasue 1 week = 15 mulitipication facts memorized

It’s D because w is number of weeks so c is wrong

pls help due tomorrow​

Answers

On solving the provided question, we can say that - by doing the equation, we have -12 +18 = p + 7 => 6 = p + 7 => p = -1

What is equation?

An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.

here,

-12 +18 = p + 7

6 = p + 7

p = -1

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M6|L32 Zearnland Savings Joanie is working a lemonade stand to earn money. On the first day, she earned $0.25. Each day, she earns $0.25 more than she did the day before. How much money will Joanie earn in 7 days?

Answers

Answer: 3.50

Step-by-step explanation:

The equation x 2 + y 2 − 4 x + 2 y = b x 2 +y 2 −4x+2y=b describes a circle. determine the y coordinate of the center of a circle

Answers

Answer

Here’s a graph. Hope this helps.

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

x²+y²-4x+2y=b

x²-4x+4+y²+2y+1=b+4+1

(x-2)²+(y+1)²=b+5

center is (2,-1)

a company has issued 8% debentures of rs 10 each at a discount of 10% repayable after 10 years, find out the cost of capital

Answers

If a company has issued 8% debentures of INR 10 each at a 10% discount repayable after 10 years. then the cost of capital or pretax cost of debt is 8%.

What is pretax cost of Debt?

A bond or other sort of financial instrument that is secured by collateral is referred to as a debenture. Debentures must rely on the issuer's trustworthiness and reputation for support because they lack a collateral backstop. Debentures are commonly issued by both businesses and governments to raise cash or money. The interest paid on these security can be termed as cost of Debt or pretax cost of Debt.

The pretax cost of debt is interest paid on debenture security without giving effect of corporate tax on the rate of interest to be yearly or as per terms and conditions attached to it.

When debt security issued on discount then the loss on issue of these debenture instrument shall also be form part of cost of security or cost of capital.

Thus the year one pretax cost of  Debt capital will be Rs. 1 per debenture and 8% cost of debt.  

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Timothy bought a house for $360,000. He paid 20% down, and agreed to pay $1,375.69 per month for 30 years. His payment of $1,375.69 does not include property tax and insurance. How much interest will Timothy pay in 30 years?

Answers

INTREST-300000

Step-by-step explanation:

36000000

how to find the lcd and subtract the following fractions what is the answer of 5 over 6 minus 1 over 4 pls

Answers

Answer:

[tex]\displaystyle \frac{7}{12}[/tex]

Step-by-step explanation:

When we are subtracting fractions with different denominators, we find the least common denominator of each one. In the case of 6 and 4, they both share 12 as the least common denominator, so we can rewrite each fraction as equivalents with denominators of 12:

[tex]\displaystyle \frac{5}{6}-\frac{1}{4}=\frac{5*2}{6*2}-\frac{1*3}{4*3}=\frac{10}{12}-\frac{3}{12}=\frac{7}{12}[/tex]

Step-by-step explanation:

This calculator subtracts two fractions. First, convert all fractions to a common denominator when fractions have different denominators

Is this a function? Answer only if you know if you put links I will report

Answers

Answer:

No

Step-by-step explanation:

You can tell if something is a function by checking to see if a vertical line will intersect at one spot more than once. If it does, it is not a function.

pls help 10 pts
NO LINKS

Answers

Answer:

58.61%

Step-by-step explanation:

Your total backyard is 18ft * 9ft = 162 ft^2

Your patio is 5ft * 8ft = 40 ft^2

Your Garden is 4ft * 7ft = 28 ft^2

Your walkway is 3ft * 9ft = 27 ft^2

Add all those areas together you have 95 ft^2

95 of 162 = 58.61%

WILL MARK BRAINLIEST!

Given: Parallelogram ABCD, calculate the length of AD

Answers

Your answer would be 20.6

Can someone please help me With explanation please ty

Answers

Answer:

Basically asking you which two numbers multiplied together is 20. Keep in mind this is a triangle so you'll need to divide the product by 2. In this case, it would be C.4 and 10

4 time 10 is 40

40/2 = 20

Step-by-step explanation:

does anyone know what this is?!?

Answers

Answer:

A is 55°

B is 60°

Step-by-step explanation:

A + 125° = 180° (since they're in a straight line, they're a linear pair. Sum of the angles equals 180°)

A = 180° - 125°

A = 55°

A + B + 65° = 180°

A, B and 65° are angles of a triangle, so the sum of these 3 angles equals 180°

A + B + 65° = 180°

Since angle A equals 55°,

55° + B + 65° = 180°

120° + B = 180°

B = 180° - 120°

Angle B equals 60°

This maximization linear programming problem is not in "standard" form. It has mixed constraints, some involving ≤ inequalities and some involving ≥ inequalities. However with careful graphing, we can solve this using the techniques we have learned in this section. Maximize
a) z=5x+7y Subject to x+y≤30
b) 2x+y≤50
c) 2x≥y
d) x≥0,y≥0

Answers

Answer: See Annex

z (max)  = 190

x = 10

y = 20

Step-by-step explanation:

z = 5*x  +  7*y     to maximize

Subject to:

x + y ≤ 30

2*x + y ≤50

2*x - y ≥ 0

x≥=  y ≥0

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