Given r=3 and a center of (3,5)? Find the equation of the circle in standard and general form.

Answers

Answer 1

9514 1404 393

Answer:

(x -3)^2 +(y -5)^2 = 9x^2 +y^2 -6x -10y +25 = 0

Step-by-step explanation:

The standard form equation for a circle of radius r and center (h, k) is ...

  (x -h)^2 +(y -k)^2 = r^2

For radius 3 and center (3, 5), this is ...

  (x -3)^2 +(y -5)^2 = 9 . . . . standard form equation

Expanding this and subtracting the constant on the right gives ...

  x^2 -6x +9 +y^2 -10y +25 -9 = 0

  x^2 +y^2 -6x -10y +25 = 0 . . . . general form equation


Related Questions

19 is 47.5% of what number?

Answers

The answer is 40. I hope that helps :)

Answer:

19 is 47.5% of 40.

Step-by-step explanation:

First, you have to use the formula is/of=%/100, so since 19 is closest to the word is, 19 will go on the top left, since 47.5% is a percentage it will go on top of 100, finally, 100 always goes on the bottom and x will be the of, since there is no given number for it (19/x=47.5/100). You cross multiply (19x100) then divide it by the remaining number (47.5) then you get your answer of 40.

Complete the conversion. Enter your answer in the box. 40 cm = m

Answers

0.4 meters. Hopefully this helps

A local running group collected data on the number of miles its group members run each week, x, and their average mile time, y. The results are shown in the table below. Weekly Mileage, x 10 25 12 10 15 20 22 25 20 24 Avg. Mile Time, y 9.3 8.75 8.2 5.5 6.3 8.5 6.7 6.35 5.45 6.25 Calculate the correlation coefficient using technology and interpret what it represents. The correlation coefficient of the data is -0.13, which means as the weekly mileage increases, the average mile time decreases. The correlation coefficient of the data is 0.87, which means as the weekly mileage increases, the average mile time increases. The correlation coefficient of the data is 0.87, which means as the weekly mileage increases, it has no affect on the average mile time. The correlation coefficient of the data is -0.13, which means as the weekly mileage increases, it has no effect on the average mile time.

Answers

Answer:

The correlation coefficient of the data is -0.13, which means as the weekly mileage increases, it has no effect on the average mile time.Step-by-step explanation:

The correlation coefficient of a data set describes how closely related two variables are. Correlation coefficients close to positive 1 show a strong positive correlation, while correlation coefficients close to negative 1 show a strong negative correlation. When a correlation coefficient is close to 0, it shows no correlation between the data.

For the given data set, calculate the correlation coefficient using technology.

This r-value is closer to 0 then it is to -1. Thus, the correlation coefficient of the data is -0.13, which means as the weekly mileage increases, it has no effect on the average mile time.

Answer:

The correlation coefficient of the data is -0.13, which means as the weekly mileage increases, it has no effect on the average mile time.Step-by-step explanation:

The correlation coefficient of a data set describes how closely related two variables are. Correlation coefficients close to positive 1 show a strong positive correlation, while correlation coefficients close to negative 1 show a strong negative correlation. When a correlation coefficient is close to 0, it shows no correlation between the data.

For the given data set, calculate the correlation coefficient using technology.

This r-value is closer to 0 then it is to -1. Thus, the correlation coefficient of the data is -0.13, which means as the weekly mileage increases, it has no effect on the average mile time.

What is the value of x?
O A. x=15
O B. x=10
O C. x=20
D. x=5

Answers

The correct answer is C (x = 20).

Explanation:
(x + 5) + x + (7x - 5) = 180 (Sum of angles in a triangle)
x + 5 + x + 7x - 5 = 180
9x = 180
x = 20

2. What is the equation of a line that has a slope of 3 and a y-intercept of
-2?
y=-3x + 2
y = 3x + 2
y = 3x - 2
3x - 2y = 6

Answers

Answer:

y=3x-2

Step-by-step explanation:

y = mx + b

m = slope

b=yint

y=3(slope)x+ -2(y int)

Find the 40th term of the arithmetic sequence with a = 150 and a common difference of d =-4.
1.-6
2.6
3.-2
4.2

Answers

Answer:

1. -6

Step-by-step explanation:

a1 = 150

a2 = a1 - 4 = 150 - 4 = 146

a3 = a2 - 4 = a1 - 4 - 4 = 146 - 4 = 150 - 4 - 4 = 142

...

=>

an = a1 - (n-1)×4

=>

a40 = a1 - 39×4 = 150 - 156 = -6

Write the quadratic function in the form g(x) = a(x-h)^2 +k
Then, give the vertex of its graph.
g(x)= −2x^2+8x-11

Writing in the form specified: gx=
Vertex:

Answers

Answer:

the ansswer is 3x+4x=24

Step-by-step explanation:


Find the volume of the composite solid. Round your answer to the nearest
tenth.

Answers

Answer:

Answer D

Step-by-step explanation:

pi * 3 * 12 gives roughly 113. Even ignoring the exact value of the ball shape cut in half, it's the only remotely plausible solution

brainliest should be possible with 2 answers btw

NO LINKS!!!!
Compare the function to the parent function y = x^2. Use the key words such as: stretch, shrink, and shift.

3. y = 2(x - 1)^2 - 1

4. y = (x + 4)^2 + 4

Answers

9514 1404 393

Answer:

  3. vertical stretch by a factor of 2; shift right 1 and down 1

  4. shift left 4 and up 4 (no stretch or shrink)

Step-by-step explanation:

The vertex form equation is ...

  y = a(x -h)^2 +k

It represents a vertical stretch of the parent function by a factor of 'a', a right shift of 'h', and an upward shift of 'k'.

Compare the the given equations to the above form to see the transformations.

__

3. (a, h, k) = (2, 1, -1)   ⇒   vertical stretch by a factor of 2; shift right 1, down 1

4. (a, h, k) = (1, -4, 4)   ⇒   no vertical stretch; shift left 4, up 4

Will mark Brainlest Help pls​

Answers

g(-1) = -1, g(2) + g(1) = 7

Step-by-step explanation:

Given: g(x) = x³ + x² - x - 2

g(-1) ==> x = -1

g(-1) = (-1)³ + (-1)² - (-1) - 2

g(-1) = -1 + 1 + 1 - 2

g(-1) = -1

g(2) ==> x = 2

g(2) = (2)³ + (2)² - (2) - 2

g(2) = 8 + 4 - 2 - 2

g(2) = 8

g(1) ==> x = 1

g(1) = (1)³ + (1)² - (1) - 2

g(1) = 1 + 1 - 1 - 2

g(1) = -1

g(2) + g(1) = 8 + (-1) = 7

The volume of a cylinder can be expressed as V=πr2h, where r is the radius, and h is the height of the cylinder. Which expression represents the volume of this cylinder?
h= 2x+7 r=x-3

Answers

Answer:

The answer is V= ([tex]\pi[/tex]) ([tex]x-3^{2}[/tex]) (2x+7).

Step-by-step explanation:

To find the volume of the cylinder, plug in the information given in the question into the formula for the volume of a cylinder, which is V = [tex]\pi[/tex] [tex]r^{2}[/tex] h.  

What is the simplified base of the function f(x) = One-fourth (Root Index 3 StartRoot 108 EndRoot) Superscript x?

Answers

Answer:

The base is: [tex]3 \sqrt[3]{4}[/tex]

Step-by-step explanation:

Given

[tex]f(x) = \frac{1}{4}(\sqrt[3]{108})^x[/tex]

Required

The base

Expand 108

[tex]f(x) = \frac{1}{4}(\sqrt[3]{3^3 * 4})^x[/tex]

Rewrite the exponent as:

[tex]f(x) = \frac{1}{4}(3^3 * 4)^\frac{1}{3}^x[/tex]

Expand

[tex]f(x) = \frac{1}{4}(3^3^\frac{1}{3} * 4^\frac{1}{3})^x[/tex]

[tex]f(x) = \frac{1}{4}(3 * 4^\frac{1}{3})^x[/tex]

Rewrite as:

[tex]f(x) = \frac{1}{4}(3 \sqrt[3]{4})^x[/tex]

An exponential function has the following form:

[tex]f(x)=ab^x[/tex]

Where

[tex]b \to base[/tex]

By comparison:

[tex]b =3 \sqrt[3]{4}[/tex]

So, the base is: [tex]3 \sqrt[3]{4}[/tex]

ZB=
Round your answer to the nearest hundredth.
С
B
?
9
А

Answers

Answer:

B = 12.84

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin B = opp/ hyp

sin B = 2/9

Taking the inverse sin of each side

sin ^-1 ( sin B) = sin ^-1( 2/9)

B =sin ^-1(2/9)

B =12.83958841

To the nearest hundredth

B = 12.84

Is 24/40 equal to four over five a true proportion

Answers

Answer:yes it is

hsyhsyxhsyxhsyhxysxys

Answer:

24/40 = 12/20 = 6/10 = 3/5 ...

so no 24/40 does not = 4/5

Step-by-step explanation:

PRE-ACTIVITIES/PRE-TEST
5. A tyF
ASK #1
Directions: Draw a star (★) if the statement
lescribes the effects of typhoons and a circle (•) if it is not. Write your answers
1 your notebook.
a. less
b.fror
c.gre
d.gr
(P
th
U
1. The farmers' crops are destroyed when there are heavy rains which
result to flooding.
2. Loss of lives and damage to properties happen due to fiooding and
landslides
3. Thousands of families become homeless.
4. Fishermen can go fishing and abundant catch awaits them.
5. The power supply is cut off for several days as falling trees destroy the
electric posts and power lines.
6. People lose their homes and means of livelihood.
7. The prices of basic commodities become cheaper.
8. People visit malls for shopping.
9. A few houses of first-class materials are partially damaged,
10. Children play on the playground.​

Answers

Answer:

Step-by-step explanation:

★1. The farmers' crops are destroyed when there are heavy rains which

result to flooding.

★2. Loss of lives and damage to properties happen due to fiooding and

landslides

★3. Thousands of families become homeless.

•4. Fishermen can go fishing and abundant catch awaits them.

★5. The power supply is cut off for several days as falling trees destroy the

electric posts and power lines.

★6. People lose their homes and means of livelihood.

•7. The prices of basic commodities become cheaper.

•8. People visit malls for shopping.

•9. A few houses of first-class materials are partially damaged,

•10. Children play on the playground.

is the point (2,5) a solution to the equation y=3x-5?

Answers

Answer and Step-by-step explanation:

To figure out, we plug in the x-value into the equation and see if it is equal to the y-value.

y = 3(2) - 5

y = 6 - 5

y = 1

5 ≠ 1

The point (2, 5) is not a solution.

#teamtrees #PAW (Plant And Water)

what does it mean if the pA group of participants were given a measure of positive mood after exposure to classical music and then again after exposure to country music. Researchers want to determine if there is a statistically significant difference in the mean test scores based on type of music. The most appropriate statistical test to see if the scores differ is a(n) value is greater than .001

Answers

Answer:

Repeated measures(dependent samples t-test).

Step-by-step explanation:

Repeated measures (dependent samples t-test ):-

(Repeated measures dependent sample t-test is a statistical test that is used to found A significant difference in the within-subject design when the same participants go through both the conditions and there are only two conditions. In this scenario there are only two conditions -classical music and country music and every participant is exposed to both making it a dependent sample as the score of one participant on country music corresponds to the score of his on classic music.

Since it has only two variables, ANOVA can't be performed as it is performed to compare the means of more than 2 variables).

Which of the following expressions is equivalent to 12x - 3 + 2x + 13?
Select all that apply.
A. 10x + 16
B. 14x + 16
C. 17x + 13
D. 2(7x+5)
E. 14x + 10

Answers

Answer:

D and E

Step-by-step explanation:

The simplified expression is 14x + 10.

The correct option is E (14x + 10), which matches the simplified form of the original expression.

To simplify the expression 12x - 3 + 2x + 13, we can combine like terms. Like terms are terms that have the same variable(s) raised to the same exponent(s).

First, we combine the x terms, which are 12x and 2x. Their sum is 14x.

Next, we combine the constant terms, which are -3 and 13. Their sum is 10.

Therefore, the simplified expression is 14x + 10.

Among the given options, the expression 14x + 10 is the correct one.

Option A (10x + 16) is not equivalent to the original expression because it does not combine the x terms correctly.

Option B (14x + 16) is not equivalent to the original expression because it does not account for the constant term correctly.

Option C (17x + 13) is not equivalent to the original expression because it combines the x terms incorrectly and does not account for the constant term correctly.

Option D (2(7x+5)) is not equivalent to the original expression because it is a different expression altogether, factoring out the common factor of 2 from the terms.

To learn more about the equivalent expression;

https://brainly.com/question/28170201

#SPJ6

Mrs Lefatshe bought 15 metres of cloth.the cost of 1 metre is P69.95. how much did she have to pay?​

Answers

Answer:

1042.5

Step-by-step explanation:

Given :-

Mrs Lefatshe bought 15 metres of cloth.the cost of 1 metre is P69.95 .

Using Unitary Method :-

→ Cost of 1 m is P 69.95

→ Cost of 15m is P ( 69.5 * 15 ) = P 1042.5

Is the ordered pair (5, 24) a solution of y = 4x + 4? *​

Answers

Answer:

yes

Step-by-step explanation:

y = 4x + 4

24 = 4(5) + 4

24 = 20 + 4

24 = 24

In circle F with m∠EFG=54m∠EFG=54 and EF=19

EF=19 units, find the length of arc EG. Round to the nearest hundredth.

Answers

Answer:

17.907082 unit

Step-by-step explanation:

According to the Question,

Given, A circle with centre F, ∠EFG=54 and EF=19 .

length of arc EG = Radius(EF) × ∠EFG(in Radian)

We Know, 1 degree = 0.0174533 Radian54 degree = 0.942478 Radian

length of arc EG = 19 x 0.942478 ⇔ 17.907082 unit

(For Diagram please find in attachment)

Express secΦ in terms of tanΦ​

Answers

Answer:

[tex]\sec\theta=\sqrt{1+\tan^2\theta}[/tex]

Step-by-step explanation:

The trigonometric identity is :

[tex]\sec^2\theta-\tan^2\theta=1\\\\or\\\\\sec^2\theta=1+\tan^2\theta[/tex]

We need to express secθ in terms of tanθ.

The above equation becomes,

[tex]\sec\theta=\sqrt{1+\tan^2\theta}[/tex]

Hence, this is the required solution.

CPU connect to matherbosrd is through_
Dimm slots
Sicket
PCI slots
CBU

Answers

Answer:

I think the answer for this is the Dimm slots

These four numbers are plotted on a number line: -2/3 5/8 -3/5 -1/2 Which is the correct ordering on the number line, from left to right?​

Answers

Answer:

-2/3 -3/5 -1/2 3/8

..................……

abb
9. Hãy đặt các phán đoán đơn và biểu thị thành phán đoán hợp câu
sau đây: "Nếu bị đau đầu hoặc sốt thì có thể uống thuốc Panadol,
Nếu bị cảm cúm hoặc đau đầu thì có thể uống thuốc Tiffy. Thơm
bị cảm cúm và đau đầu. Do đó Thơm có thể uống thuốc Panadol
hoặc thuốc Tiffy". Hãy xác định giá trị của phán đoán hợp trên.

Answers

Answer:i took the test

Step-by-step explanation: 76879686

We need to find the numerator and denominator of the quotient.

Answers

Answer:

[tex] \dfrac{(x - 2)^2}{(x - 1)^2} [/tex]

Step-by-step explanation:

[tex] \dfrac{x^2 + x - 6}{x^2 - 6x + 5} \div \dfrac{x^2 + 2x - 3}{x^2 - 7x + 10} = [/tex]

[tex] = \dfrac{x^2 + x - 6}{x^2 - 6x + 5} \times \dfrac{x^2 - 7x + 10}{x^2 + 2x - 3} [/tex]

[tex] = \dfrac{(x + 3)(x - 2)}{(x - 1)(x - 5)} \times \dfrac{(x - 5)(x - 2)}{(x - 1)(x + 3)} [/tex]

[tex] = \dfrac{(x + 3)(x - 2)(x - 5)(x - 2)}{(x - 1)(x - 5)(x - 1)(x + 3)} [/tex]

[tex] = \dfrac{(x - 2)(x - 2)}{(x - 1)(x - 1)} [/tex]

[tex] = \dfrac{(x - 2)^2}{(x - 1)^2} [/tex]

Question 5
Find the volume.

Answers

Answer:

6144π ft³ ; 19292.2 ft³

Step-by-step explanation:

The volume of the cylinder Given above :

Volume of cylinder, V = πr²h

r =Radius = 16 ; h = 24 ft

V = π * 16² * 24

V = 256 * 24 * π

V = 6144π

Using π = 3.14

V = 6144 * 3.14 = 19292.16

The Coffee Counter charges ​$8.00 per pound for Kenyan French Roast coffee and ​$10.00 per pound for Sumatran coffee. How much of each type should be used to make an 18 pound blend that sells for ​$9.00 per​ pound?
The Coffee Counter should mix ___ pounds of Kenyan Roast coffee and ___ pounds of Sumatran coffee to make 18 pounds of a blend that sells for ​$9.00 per pound.

Answers

Answer:

x = 9

y = 9

Step-by-step explanation:

Given :

Let :

Kenyan French roast coffee = x

Cost per x = $8

Sumatran Coffee = y

Cost per y = $10

x + y = 18 - - - - (1)

8x + 10y = 9 * 18 ;

8x + 10y = 162 - - - - (2)

From (1):

x = 18 - y

Put x = 18 - y in (2)

8(18 - y) + 10y = 162

144 - 8y + 10y = 162

2y = 162 - 144

2y = 18

y = 9

x = 18 - y

x = 18 - 9

x = 9



I need help asp please!!

Answers

Answer:

337.5 g

Step-by-step explanation:

mass=volume x density=112.5 x 3=337.5

i will mark brainliest please help me on this question! ​

Answers

It’s option a I have done the assignment myself
Other Questions
Provide step-by-step instructions for David, the boy in the orange on the left side of the second row, to retrieve the globe from the teachers desk. Assume he is a robot that will only do exactly what you tell him using commands like step or turn left. We will share one or more classroom responses. A semi-circle sits on top of a rectangle to form the figure below. Find its area and perimeter. Use 3.14 for Kenna's bedroom is 12 feet long by 8 feet long. Her parents have agreed to buy new carpet for the entire bedroom.The carpet costs $15 per square meter. What will be the total cost of the new carpet? 1 foot = 0.305 meterA. $439.20B. $54.90C. $133.96D. $91.50 cul es el vocabulario de Mesopotamia How do maintain the farm business Write me a poem about evolution and natural selection On January 1, a machine with a useful life of 5 years and a salvage value of $30000 was purchased for $170000. What is the depreciation expense for year 2 under straight-line depreciation Answer the following.A bag contains, 4, green balls 3 red balls, 6 yelow and 5 pink balls. A ball isselected at random and not relased. The ball is green. What is the probablyof selecting another green be?Express the answer as a frection |Engress the answer as a decimal to three deomal placesELess this answer as a percentage to the nearest Wacle number Tanouye Corporation keeps careful track of the time required to fill orders. Data concerning a particular order appear below: Hours Wait time 24.9 Process time 2.6 Inspection time 0.5 Move time 2.2 Queue time 11.5 The throughput time was: solve it : -[tex] \sqrt{6 \times 24} [/tex]_______ Can you help me with this in your own ideas what are the disadvantages of participating in a videoconference write your answer inside the circle A furniture delivery truck leaves the store at 8 A.M. It travels 6 miles east, then 4 miles south, then 2 miles west and then 4 miles north. At the end of this route, how far is the truck from the store? Your employer is trying to select from a list of possible capital projects. The projects, along with their cost and benefits, are listed below. The capital budget available is $1 million. In addition to spending constraints, your employer would like to select at least 2 projects. Projects 2 and 4 cannot both be selected together. Formulate the problem as a linear program and determine the optimal solution.Project Cost Net Present Value1 $300,000 $720,000 2 $260,000 $780,000 3 $215,000 $690,000 4 $240,000 $700,000 5 $295,000 $510,000 1. Which projects should be selected?a. Project 1 will b. Project 2 will c. Project 3 will d. Project 4 will e. Project 5 will 2. What is the total net present value of these projects? Find the volume of this figure BRAINLIEST IF CORRECTGenerating random samples. please help!!!!!!!!!!! A square has the same perimeter as a triangle. The triangle's area is 16 root 3. What is the hypotenuse of the square? A is the point with coordinates (x, 2y).B is the point with coordinates (3x, 4y).The midpoint of AB has coordinates (-4, 15).Work out the values of x and y. A patient is taking valacyclovir. Which skin disorders could the patient MOST LIKELY be treating?a. shingles and herpes simplex type 2b. lice and HPVc. herpes simplex type 1 and tinead. acne and alopecia