Mathematics High School

The equation of a circle is ​ (x+9)2+(y+6)2=225 ​ .



What is the center of the circle?



Enter your answer in the boxes.

(
,
)

Answers

Answer 1
You can read off the coordinates of the center of (x+9)2+(y+6)2=225 directly:  h= -9 and k= -6, so the center is at (-9, -6).
Answer 2

Answer:

[tex](-9,-6)[/tex]

Step-by-step explanation:

We have been given an equation of a circle [tex](x+9)^2+(y+6)^2=225[/tex]. We are asked to find the coordinates of the center of the given circle.

We know that center-radius form of a circle is in format: [tex](x-h)^2+(y-k)^2=r^2[/tex], where,

[tex](h,k)=\text{Center of circle}[/tex],

[tex]r=\text{Radius of circle}[/tex]

Upon comparing our given equation with center-radius form of a circle we will get,

[tex](x-(-9))^2+(y-(-6))^2=15^2[/tex]

Therefore, the center of our given circle is at point [tex](-9,-6)[/tex].

Related Questions

What is sin (51)?
Answer Choices : 1.23 , 0.63 , 0.51 , 0.78

Answers

The correct answer is .78
Make sure your calculator is in degrre mode when doing these.
Using calculator I got 0.77714.....
so the answer is 0.78

A feed bucket holds 12 quarts. How many cups of feed does the bucket hold?

Answers

5 i think im not sure
1 quart = 4 cups
12 quarts x 4 (cups per quart) = 48 Cups

Mind helping someone out?
I've kinda been stuck on this problem and it's my last math problem for the day.

Answers

[tex]\bf 2a^3b^2\sqrt[3]{12b}\implies 2a^3b^2\sqrt[3]{12b^1}\implies \sqrt[3]{(2)^3(a^3)^3(b^2)^3~~~~12b^1} \\\\\\ \sqrt[3]{2^3a^{3\cdot 3}b^{2\cdot 3}~~~~12b^1}\implies \sqrt[3]{8a^9b^6~~~~12b^1}\implies \sqrt[3]{(8)(12)a^9b^6b^1} \\\\\\ \sqrt[3]{96a^9b^{6+1}}\implies \sqrt[3]{96a^9b^7}[/tex]

Twenty different statistics students are randomly selected. for each of​ them, their body temperature ​( degrees °​c) is measured and their head circumference​ (cm) is measured. if it is found that r=​0, does that indicate that there is no association between these two​ variables?

Answers

The letter r represents the sample correlation coefficient .The Pearson product-moment correlation coefficient, also known as r, R, or Pearson's r, is a measure of the strength and direction of the linear relationship between two variables that is defined as the covariance of the variables divided by the product of their standard deviations.

The sample correlation coefficient value r  is 0 given,so there is  no linear relationship between the 2 variables that is the body temperature and head circumference.

Find the inverse function of h(x) = - 2/3x + 6.

h -1(x) = -3/2x + 9
h -1(x) = -3/2x - 6
h -1(x) = -2/3x + 9
h -1(x) = -2/3x - 6

Answers

let y=h-1(x) and lastly, find y

What is the remainder when the positive integer n is divided by 12 ? (1) when n is divided by 6, the remainder is 1. (2) when n is divided by 12, the remainder is greater than 5?

Answers

The remainder is 7.

The number n would be 31. In this case you could divide it by 6 and get 5 with a 1 remainder and then divide it by 12 and get 2 with a 7 remainder. 

Daniel’s tennis team made $582.85 from running the concession stand at a basketball game. The food and drinks cost the team $64. What expression would model the amount of money each player would receive if the money is divided equally?

Answers

The answer would be

1. (582.85 - 64)/p Or D

And

2. 64.85 Or A

The expression that would model the amount of money each player would receive if the money is divided equally is y = (518.85/x).

What is division?

Division is a operation in mathematics which is used to divide a specific number into equal parts of specific magnitude.

Given is Daniel’s tennis team which made $582.85 from running the concession stand at a basketball game. The food and drinks cost the team $64.

Assume that there are [x] players in the team.

Now, the money left after spending on food = 582.85 - 64 = 518.85

Each player, when divided equally, would receive = y = (518.85/x)

Therefore, the expression that would model the amount of money each player would receive if the money is divided equally is y = (518.85/x).

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Given v=(6,3) and w=(1,-2), what is the result of v-w

Answers

Here, v - w would be (6-1, 3-[-2]), or (5, 5).  
I don't believe you need the word "result" here.  At first I thought you'd meant "resultant."  Here you're finding the "difference" v less w.



Final answer:

The result of v - w is (5, 5).

Explanation:

To find the result of v - w, we need to subtract the corresponding components of the two vectors. Given v = (6, 3) and w = (1, -2), we subtract their x-components and their y-components separately.

v - w = (6 - 1, 3 - (-2))

Therefore, v - w = (5, 5).

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Bob can type 2 letters in 4 hours while Bill can do it in 6. How many hours would it take them, working together, to type six letters?

Answers

Bob's production rate is given by:
 r1 = 2/4 = 1/2 letter / hour
 The production rate of Bill is given by:
 r2 = 2/6 = 1/3 letter / hour
 Thus, the production rate of both is:
 r1 + r2 = 1/2 + 1/3 = 5/6 letter / hour
 Then, the production of 6 letters is given by:
 rate * time = letters
 (5/6) t = 6
 t = (6/5) 6
 t = 36/5 = 7 1/5 hours = 7hr 12 min
 Answer:
 it would take them, working together, to type six letters about:
 7hr 12 min

Answer:

It would take them 7.2 hours.

what is the surface area of this triangular pyramid

Answers

Equilateral Triangle Height = side * square root (3) / 2 =

12 * 0.8660254038 = 10.3923048454

Triangle Area = 12 * 10.3923048454 * .5

= 62.3538290724

Pyramid Area = 62.3538290724 * 4 sides =

249.4153162896



Quick need the answer!

Answers

The answer is “c” x=90.y=45

Maria works at a bookstore. On Wednesday, she sold three times as many books as she did on Tuesday. On Thursday, she sold 8 fewer books than she did on Wednesday. During the three days, Maria sold 20 books. Create an equation that can be used to find m, the number of books Maria sold on Tuesday.

Answers

To write an equation to show how many books Maria sold on Tuesday, you will write an equation for each day.

Tuesday - m
Wednesday - 3m
Thursday - 3m - 8

Show all of these in an addition problem with a total of 20 and simplify.

m + 3m + (3m - 8) = 20

7m - 8 = 20; You can solve this equation to find the number of books Maria read.

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Answers

To find the distance the player runs, we have to use pythagorean formula, which is

[tex] a^2 + b^2 = c^2 [/tex]

In the question , value of a is 64 meters and value of b is 100 meters .

Substituting the values of a and b , we will get'

[tex] 64^2 +100^2=c^2
\\
c^2 = 14096
\\
c = 119meters [/tex]

What is 3 to the 100th power?

Answers

Final answer:

3 to the 100th power is a very large number with over 47 digits, symbolizing the potential of exponential growth.

Explanation:

The question is asking for the computation of the number 3 raised to the 100th power. In mathematics, exponents are used in expressions such as 'a to the power of n', written as an. Here, 'a' is the base and 'n' is the exponent, indicating how many times 'a' is multiplied by itself.

In our case, we have '3' as the base and '100' as the exponent. However, calculating 3100 directly is quite impractical due to the vast result it produces. However, we do know that it's a very large (over 47 digits!) number which could be useful for illustrating the power of exponential growth in mathematical or scientific contexts.

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suzie divided a 3-pound bag of apples into 2 equal piles. How many lbs of apples are in each pile

Answers

3/2 = 1.5 Lbs per pile.

3 pounds divided by 2 piles = 1.5 pounds per pile
Final answer:

Suzie's 3-pound bag of apples divided into two equal piles will result in each pile weighing 1.5 pounds. This is a basic arithmetic problem often referred to as equal distribution.

Explanation:

Suzie is dividing a 3-pound bag of apples into two equal piles. This is a simple division problem where the total weight of apples (3 pounds) is distributed equally into two piles. Therefore, we simply divide the total weight by the number of piles.

To calculate the weight of apples in each pile, we divide the total weight (which is 3 lbs) by the number of piles (which is 2). So, 3 lbs ÷ 2 = 1.5 lbs. Each pile would weigh 1.5 lbs.

This type of problem is often referred to as an equal distribution problem in mathematics. It falls under the category of basic arithmetic and is typically taught in lower grades.

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Find the area of the following rectangle in square feet. 44 ft 2 11 ft 2 14.7 ft 2 132 ft 2

Answers

the picture in the attached figure

we know that
area of rectangle=base*height
in this problem
base is 22 ft
height is 2 yd

convert yd to ft
1 yd is equal to 3 ft
2 yd--------> 2*3-----> 6 ft

area of rectangle=22*6-----> 132 ft²

the answer is
132 ft²

Answer:

132

Step-by-step explanation:

The population of a town is 20,000 and is decreasing at a rate of 5% per year. What is the population after 23 years?

Answers

I believe the answer should be approximately 6,147 because you would plug into the equation y=20,000(.95)^t, where t=23.

Please help me I’m about to cry

Answers

The reflections will be as shown in the attached figure:
A-Blue
B-Green
C=yellow
D=Grey
E=maroon
Triangle E is not the same as triangle C. This means she was wrong.

Please refer to the attached figure for the drawings, the colors represent the triangles in the order above.

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Short answer
y >-x + 4
y <= 2(x - 1)^2 - 18

Comment
Let's establish what we are talking about. The question says purple and to me purple means the shaded area above the blue and to the upper right of the parabola. 

Not so. It is the wine colored area right above the parabola according to the direction of he inequalities.

Second thing: the question is trying to see if you can read all he information you need from a graph. 

Step One
Find the equation of the line.
We can read 2 points right away the x and y intercepts.
(4,0) is the x intercept
(0,4) is the y intercept

The general equation for the slope intercept equation is
y = mx + b So when x = 0 then b = y
4 = m*0 + b
b = 4

This far we have
y = mx + 4
when x = 4, y = 0
0 = m*4 + 4 Subtract 4 from both sides.
-4 = m*4      Divide by 4
-4/4 = m
m = - 1

Complete equation is y = -1x + 4
The inequality is y > -x + 4            Top answer block.

Step Two
Find the equation for the parabola

You could just read the minimum point which is (1,-18) There is a catch. (Isn't there always?) This may have a constant in front of the (x - a)^2 term. We'll check that out in the next step.

y = (x - 1)^2 - 18 is the basic vertex solution

Step Three
Find the value of a in
y = a(x -  1)^2 - 18
You have to do this because the answer has a space before the brackets. We need another point. The y intercept might work. 

y = a(0 -1)^2 - 18
Use the point (0,-16)
-16 =  a(1) - 18 
-16 = a - 18 Add 18 to both sides.
2 = a

So the equation of the quadratic is
y <= 2(x - 1)^2 - 18 <<<<<< answer second section down on your question sheet.


Write the expression 5x+4x^2(2x+7)-6x^2-9x as a polynomial in standard form

Answers

5x + 4x²(2x + 7) - 6x² - 9x
5x + 8x³ + 28x² - 6x² - 9x

8x³ + 22x² - 4x

This can be simplified to:

2x(4x² + 11x - 2)

I don't know which of those answers you are looking for. 

Answer:

8x^3 + 22x^2 - 4x

Step-by-step explanation:

5x+4x^2(2x+7)-6x^2-9x

Open the bracket

5x + 8x^3 + 28x^2 - 6x^2 - 9x

= 8x^3 + 28x^2 - 6x^2 - 9x + 5x

= 8x^3 + 22x^2 - 4x

In standard form, the polynomial 5x+4x^2(2x+7)-6x^2-9x is 8x^3 + 22x^2 - 4x

I WILL MARK BRAINLIEST TO A CORRECT AND EXPLAINED ANSWER!!!!
Look at points C and D on the graph:

What is the distance (in units) between points C and D? Round your answer to the nearest hundredth.

A. 4.54 units
B. 5.00 units
C. 5.83 units
D. 34.00 units

Answers

C(-4;3)
D(1:0)

Image the right triangle between C, D and the point A(-4,0)

CA is 3-0=3; AD is 1-(-4)=1+4=5

CD is √3²+5²=√34=5.8309...

Answer:

Option C.

Step-by-step explanation:

Coordinates of the points C and D are (-4, 3) and (1, 0)

We have to find the distance CD.

Distance CD = [tex]\sqrt{(x-x')^{2}+(y-y')^{2}}[/tex]

CD = [tex]\sqrt{(1+4)^{2}+(0-3)^{2}}[/tex]

     = [tex]\sqrt{25+9}[/tex]

     = [tex]\sqrt{34}[/tex]

     = 5.83 units

Therefore, Option C. distance CD = 5.83 units is the answer.

A new medical test provides a false positive result for hepatitis 2% of the time that is a perfectly healthy subject being tested for hepatitis will test as being infected 2% of the time. And research, the test is given to 30 healthy (not having hepatitis) subjects. Let X be the number of subjects who test positive for the disease

A. What is the probability that all 30 subjects will appropriately test as not being infected?
B. What are the mean and standard deviation of X?
C. To what extent do you think this is a viable test to use in the field of medicine?

Answers

A) You need to use the binomial distribution, for which the probability of an event X is given by:
[tex]P(X) = \frac{n!}{k!(n-k)!} p^{k} (1-p)^{n-k} [/tex]
where:
n = total number of events
k = number of success we want
p = probability of success

Therefore, since the problem tells you that X is the number of subjects who test positive for the disease, you will have:

[tex]P(X) = \frac{30!}{0!(30-0)!} 0.02^{0} (1-0.02)^{30-0} [/tex]

= 1 · 1 · 0.98³⁰
= 0.5455

Hence, the probability of none of the 30 subjects testing positive to the desease is 54.55%


B) In a binomial distribution, the mean is given by the formula:
μ = n · p
   = 30 · 0.02
   = 0.6

And the standard deviation is given by the formula:
σ = √[n·p·(1-p)]
   = √[30·0.02·0.98]
   = √0.588
   = 0.77

Hence, the mean is 0.6 and the standard deviation is 0.77


C) This test is not very viable: 30 subjects are a sample too small compared to the population (millions of people who need to be tested), the probability of finding that all the 30 subjects are healty is only a little bit over 50%, the standard deviation is too high compared to the mean, and 2% of false positive is a percentage too high to consider the test viable.

Share 450 in the ratio of 4:5

Answers

Let's represent the ratio in variable form:
4n + 5n = 450
9n = 450
n = 50
Now we multiply into the ratio:
200:250
Or
200 and 250
4 : 5 → 4 + 5 = 9

450 : 9 = 50

4 · 50 = 200
5 · 50 = 250

Answer: 200 and 250.

A rectangle has a length of 4 feet and a perimeter of 14 feet. what is the perimeter of a similar rectangle with a width of 9 feet?
a. 36 ft
b. 108 ft
c. 42 ft
d. 126 ft

Answers

First Rectangle: P= 14; L= 4, W= ?
Second Rectangle: P= ?, L= ?, W= 9


STEP 1:
solve for the width in the first rectangle using perimeter formula

Perimeter= 2L + 2W
14= 2(4) + 2W

14= 8 + 2W
subtract 8 from both sides

6= 2W
divide both sides by 2

3= W


STEP 2:
Since the two rectangles are similar, they may be different sizes, but they have corresponding angles. We can set up a ratio to compare width and length.

First Rectangle: P= 14, L= 4, W= 3
Second Rectangle: L= ?, W= 9

length/width= length/width
4/3= L/9

cross multiply
4 * 9= 3 * L

36= 3L
divide both sides by 3

12= L


STEP 3:
find perimeter of second rectangle; use length from step 2

Perimeter= 2L + 2W
=2(12) + 2(9)
=24 + 18
=42 feet


ANSWER: (C) 42 feet

Hope this helps! :)

Use complete sentences to explain how the coordinate plane is a useful tool for geometric proofs.

Answers

The coordinate proof is a proof of a geometric theorem which uses "generalized" points on the Cartesian Plane to make an argument.

Coordinate geometry proofs employ the use of formulas such as the Slope Formula, the Midpoint Formula and the Distance Formula, as well as postulates, theorems and definitions.

The method usually involves assigning variables to the coordinates of one or more points, and then using these variables in the midpoint or distance formulas .

The facilitate verification is a proof of a geometric hypothesis which utilizes "summed up" indicates on the Cartesian Plane make a contention.

The strategy for the most part includes doling out factors to the directions of at least one focuses, and afterward utilizing these factors in the midpoint or separation equations .

For instance, the accompanying is an arrange evidence of the Triangle Midsegment Theorem , which expresses that the fragment interfacing the midpoints of two sides of a triangle is parallel to the third side and precisely a large portion of the length.




Final answer:

The coordinate plane is an essential tool in geometry, allowing for a visual representation of shapes and aiding in geometric proofs, such as the Pythagorean Theorem. It allows abstract geometric concepts to be more concrete and easier to understand.

Explanation:

The coordinate plane is a pivotal instrument in the field of Mathematics for conducting geometric proofs. The coordinate plane enables us to visually represent geometric shapes and articulate the different points, distances, and areas which helps us in proving geometric theorems and statements.

For instance, the Pythagorean Theorem, a fundamental theorem in Geometry can be illustrated efficiently and proven right on the coordinate plane. By placing a right-angled triangle on the coordinate plane, the lengths of the sides can be calculated using the coordinates of the vertices. Then, by applying the theorem, we can demonstrate that the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Overall, the coordinate plane provides a graphical representation of the geometric shapes, making the abstract ideas more concrete and easier to understand, thus aiding in geometric proofs.

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multiply and simplify. 5x^2 / y^3 * 4y^2 / 10x

Answers

For this case we have the following expression:
 [tex] \frac{5x^2}{y^3} * \frac{4y^2}{10x} [/tex]
 Rewriting the expression we have:
 [tex]\frac{20x^2y^2}{10xy^3} [/tex]
 Then, simplifying and by properties of exponents we have:
 [tex]{2x^{2-1}y^{2-3}} {2xy^{-1}}[/tex]
 Rewriting we have::
 [tex] \frac{2x}{y} [/tex]
 Answer:
 The simplified expression is given by:
 [tex] \frac{2x}{y} [/tex]

What is the area of the figure to the nearest tenth?

Answers

Area of circle = πr²

Area of the full circle = π (6)² = 36π

Area of the sector = 165/360 x 36π = 51.8 in²

Answer: 51.8 in²
area of full circle with a radius of 6 in = PI x 6^2

3.14 x 36 = 113.04 square inches

the shape is 165 degrees of a full circle which is 360 degrees

so area of the shape would be 165/360 x 113.04

= 51.8 square inches

using his telescope, Tommy watches a bald eagle as it sits on the top of a cliff. the telescope is positioned so that the line of sight to the eagle forms a 38 degree angle of elevation. the telescope sits 1.3 m above the ground and the base of the telescope is 116 m away from the base of the cliff. to the nearest tenth of a meter, how high above the ground is the eagle?

Answers

 the correct answer is B 91.9 m

Which set of ordered pairs could be generated by an exponential function?
(0, 0), (1, 1), (2, 8), (3, 27)
(0, 1), (1, 2), (2, 5), (3, 10)
(0, 0), (1, 3), (2, 6), (3, 9)
(0, 1), (1, 3), (2, 9), (3, 27)

Answers

For this case we must find the set of ordered pairs that form an exponential function.

When observing, the last set of ordered pairs is an exponential function of the form:

[tex]y = 3 ^ x[/tex]

For x = 0:

[tex]y = 3 ^ 0 = 1[/tex]

We have the ordered pair:

[tex](x, y): (0, 1)[/tex]

For x = 1:

[tex]y = 3 ^ 1 = 3[/tex]

We have the ordered pair:

[tex](x, y): (1, 3)[/tex]

For x = 2:

[tex]y = 3 ^ 2 = 9[/tex]

We have the ordered pair:

[tex](x, y): (2, 9)[/tex]

For x = 3:

[tex]y = 3 ^ 3 = 27[/tex]

We have the ordered pair:

[tex](x, y): (3, 27)[/tex]

Answer:

The set of ordered pairs that form an exponential function is:

[tex](0, 1), (1, 3), (2, 9), (3, 27)[/tex]

Answer:

D

Step-by-step explanation:

A group of 12 people attend a meeting. Every pair of people shook hands with each other. How many handshakes were there?

Answers

There are 12 people handshakes
The first person will shake the hand whit the other 11 people, the second with 10 because he has already shook his hand with the first, and so on.
So there will be 11+10+9+8+7+6+5+4+3+2+1=66 handshakes.

Hope this helped!
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