Which of the following is the center and radius of the circle?

x2 + y2 + 4x – 14y + 46 = 0

Center (2, –7); r = 7
Center (–4, 14); r equals square root 46
Center (4, –14); r = 46
Center (–2, 7); r equals square root 7

Answers

Answer 1

The centre of the circle is (-2,7) and the radius is √7 ,  Option D is the right answer.

What is the standard equation of a Circle ?

The standard equation of a Circle is

(x-h)² +(y-k)² = r²

where h and k is the centre of the circle , r is the radius

The given equation is

x² + y² + 4x – 14y + 46 = 0

x² +4x +4 -4 +y² -2.7y + 49-49+46 = 0

(x + 2)² + (y-7)² -4-49+46 = 0

(x + 2)² + (y-7)²= 7

Therefore the centre of the circle is (-2,7) and the radius is √7 ,

Therefore Option D is the right answer.

To know more about Standard Equation of Circle

https://brainly.com/question/13658927

#SPJ1


Related Questions

Which second degree polynomial function has a leading coefficient of -1 and root 4 with multiplicity 2?
f(x) = -x²-8x-16
f(x) = -x² +8x-16
f(x)=x²-8x + 16
f(x) = -x² + 8x + 16
Mark this and return
Save and Exit
Next
Subm

Answers

Answer:abc and d

Step-by-step explanation:

trust me I took the dum test

The length of a rectangle is 44 inches greater than twice the width. If the diagonal is 2 inches more than the​ length, find the dimensions of the rectangle.

Answers

Answer:

  18 inches by 80 inches

Step-by-step explanation:

The given relations can be used in conjunction with the Pythagorean theorem to find the rectangle dimensions.

__

setup

Let x and y represent the width and length of the rectangle, respectively. One of the relations is that between length and width:

  y = 2x +44 . . . . . length is 44 more than twice the width

The other relation is described by the Pythagorean theorem. The square of the diagonal is the sum of the squares of the length and width:

  x² +y² = (y +2)²

__

solution

Expanding the second equation, and subtracting y², we find ...

  x² +y² = y² +4y +4

  x² = 4y +4

Substituting for y using the first equation gives the quadratic ...

  x² = 4(2x +44) +4

  x² = 8x +180 . . . . . . . eliminate parentheses

  x² -8x +16 = 196 . . . . add 16 -8x to make perfect squares

  (x -4)² = 14²

We're only interested in the positive solution, so ...

  x = 4 +14 = 18 . . . . . . . . square root, add 4

  y = 2(18) +44 = 80

The dimensions of the rectangle are 18 inches wide by 80 inches long.

_____

Check

The diagonal is √(18² +80²) = √6724 = 82.

Using a graphing calculator (or Desmos), graph the equation y = (x - 5)² + 2, describe the transformation.

Answers

Answer:

the graph has a parent function of f(x) = x²

The (x - 5)² tells us that the graph is shifted to the right 5 units.

The +2 tells us that the graph is shifted up 2 units.

Which expression is equivalent to 4^-5 * 4^8

A 4^-2/4^-1

B (4^3)^-1

C 4^2/4^-1

D (4^-1)^3

Answers

Answer: C

Step-by-step explanation:

[tex]a^{b} \times a^{c}=a^{b+c}[/tex], so [tex]4^{-5} \times 4^{8}=4^{-5+8}=4^{3}[/tex].

The only option that is equal to this is C

John can ride his bicycle at a rate of 14 miles per hour. Convert this rate to feet per second_
O 250.33 feet per second

Answers

Answer:

Step-by-step explanation:

Givens

r = 14 miles / hour

Problem

Convert to feet per second.

Solution

Later on, you will learn how to solve these kinds of conversion problems using a method called Unit Analysis. Since you likely have not been taught this method, will just use proportions.

1 mile = 5280 feet

14 miles = x                          Cross multiply

x = 14 * 5280                       Simplify

x = 73920 feet

1 hour = 3600 seconds

Answer

r = 73920 feet / 3600 seconds

r = 20.533 feet  / secpmd

Can someone help me? I’ll give brainliest to whoever gets it right first

Answers

Answer:

72 Degrees

Step-by-step explanation:

We know that its 72 because of VAT, the vertical angle theorem.

Answer: 72°

Detailed Explanation:

In the figure the given angles are Vertically Opposite Angles. Vertically Opposite Angles are always Equal.

Therefore, x = 72°

What are the similarities and differences between these data sets in terms of their centers and their variability?

Data Set A: 14, 21, 24, 28, 28, 35

Data Set B: 18, 19, 21, 25, 29, 32



Select from the drop-down menus to correctly complete the statements.

Comparing the centers of the data sets, the median for Data Set A is
Choose...
the median for Data Set B. The mean for Data Set A is
Choose...
the mean for Data Set B.

Answers

The median for Set A is (24+28)/2 = 26

The median for Set B is (21+25)/2 = 23

The mean for set A is (14+21+24+28+28+35)/6 = 25

The mean for set B is (18+19+21+25+29+32)/6 = 24.

Thus, the mean for Data Set A is greater than the mean for Data Set B.

y = 4/5 + square root x + 0.2 - 5x

Answers

Answer:

5

Step-by-step explanation:

What is the inequality for this verbal description?
Kyle has d dollars to spend at the garden store. He wants to buy one small
tree for $9.00 and s pounds of soil that cost $5.00 per pound. Which
inequality represents this situation?
OA. d≥ 5s +9
OB. d> 5s +9
OC. d<9s +5
O D. d≥ 9s +5

Answers

Answer:

A) d [tex]\geq[/tex] 5s + 9

Answer:

A. d ≥ 5s + 9

Step-by-step explanation:

9.00 is fixed cost5.00 is cost per pound of soil

Hence, equation will be :

d ≥ 5s + 9 (As d must be greater than/equal to this value for Kyle to afford it)

Out of 2,000 high school seniors, 191 were enrolled into Honor Society.What percentage of the entire group of 2,000 seniors were in Honor Society?PLEASE EXPLAIN
A.0.955%
B.1.91%
C.9.55%
D.19.1%

Answers

Divide number in honor society by total students:

191/2000 = 0.0955

Multiply by 100 to get percent:

0.0955 x 100 = 9.55%

Answer is C. 9.55%

4. Write the equation of the line that passes through the points (3, 7) and (-1, 2)
in:
a. Point-slope form
b. Slope-intercept form

Answers

A . point-slope form I believe is the correct answer

Russell has been offered positions by two cable companies. The first company pays a salary of $17,000 plus a commission of $20 for each cable package sold. The second pays a salary of $14,300 plus a commission of $30 for each cable package sold. How many cable packages would need to be sold to make the total pay the same?

Answers

Russell has to sell 270 cable packages to make the total pay of both the companies as same.

Suppose that Russell sells x cable packages such that the total pay of both the companies is the same.

Then the revenue Russell would make at the first company is $17000+20x

And, the revenue Russell would make at the second company is

$14300+30x

Since, the above two values are equal

so, 17000+20x=14300+30x

⇒17000-14300=30x-20x

⇒10x=2700

⇒x=270

The above problems are called mathematical modelling.

Mathematical modelling is the process of locating such equations to explain actual occurrences.

These formulae are referred to as mathematical models together with the definitions given to the variables.

Therefore, Russell has to sell 270 cable packages to make the total pay of both the companies as same.

Learn more about mathematical modelling here-

brainly.com/question/13170101

#SPJ10

What is the value of x?
E
(2x)°

D

Answers

Answer:

30°

Step-by-step explanation:

Since ED = FD, the ∠DEF = ∠EFD
Since ∠DEF = 2x, ∠EFD is also equal to 2x
The sum of the 3 angles of a triangle is 180°

So x + 2x + 2x = 180
6x = 180
x = 30

Help me with this i need steps :c!

Answers

Answer:

The area of a triangle is 1/2 × base × height. 24 = 1/2 × 12 × height. Therefore height = 24/6 = 4 .

Answer:

8

Step-by-step explanation:

24=6*h/2

48=6*h

8=h

h is altitude

f of x is equal to 4x divided by the quantity of x minus 16 end quantity.

Answers

The zero of the equation is 0. Since degree of denominator is greater than degree of numerator, therefore, the horizontal asymptote is y=0

Asymptotes and zeros of a function

The zero of the function is the point where the function is zero

Given the function below

f(x) = 4x/x-16

For the zeros

0 = 4x/x -16

4x = 0

x = 0

Hence the zero of the equation is 0

The vertical asymptote is the point where the denominator is zero

x - 16 = 0
x = 16

Since degree of denominator is greater than degree of numerator, therefore, the horizontal asymptote is y=0

Learn more on asymptotes and zeros here: https://brainly.com/question/16948935

#SPJ1

Write the equation using function notation f(x). then find f(0)

2x^2 - 3y = 6

Answers

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \: f(0) = -2[/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

[tex]\qquad \tt \rightarrow \: 2 {x}^{2} - 3y = 6[/tex]

[tex]\qquad \tt \rightarrow \: 3y + 6 = 2 {x}^{2} [/tex]

[tex]\qquad \tt \rightarrow \: 3y = 2 {x}^{2} - 6[/tex]

[tex]\qquad \tt \rightarrow \: y = \cfrac{2 {x}^{2} - 6 }{3} [/tex]

[tex]\qquad \tt \rightarrow \: y = \cfrac{2 {}^{} }{3} {x}^{2} - 2[/tex]

[ here, y can be replaced with f(x) because y is a function of x ]

[tex]\qquad \tt \rightarrow \: f(x) = \cfrac{2 {}^{} }{3} {x}^{2} - 2[/tex]

[tex] \large\textsf{Find f(0):} [/tex]

[tex]\qquad \tt \rightarrow \: f(0) = \cfrac{2 {}^{} }{3} {(0)}^{2} - 2[/tex]

[tex]\qquad \tt \rightarrow \: f(0) = 0 - 2[/tex]

[tex]\qquad \tt \rightarrow \: f(0) = - 2[/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

urgent help wanted/ needed

Answers

The equation in slope-intercept form is: y = -x + 5

The equation in point-slope form is: y - 3 = -1(x - 2)

How to Find the Equation of a Line in Point-Slope Form and Slope-intercept Form?Where (a, b) is a point on the line and m is the slope of the line, the equation in point-slope form for such line would be: y - b = m(x - a).Where b = y-intercept and m = slope, the slope-intercept form for the equation of the line is expressed as: y = mx + b.

Slope (m) = rise/run = -(2/2) = -1

Y-intercept (b) = 5 (where the line intercepts the y-axis)

Using a point, (2, 3) = (a, b) and m = -1, the equation in point-slope form is:

y - 3 = -1(x - 2)

Rewrite in slope-intercept form:

y - 3 = -x + 2

y = -x + 2 + 3

y = -x + 5

Learn more about point-slope and slope-intercept form on:

https://brainly.com/question/24907633

#SPJ1

Solve -6 < 2x + 4 ≤ 16

Answers

Answer:

Step-by-step explanation:

Solve -6 < 2x + 4 ≤ 16

To solve for x, we need to simplify the statement.

let's get rid of the 4 that is added to 2x.

do that by subtracting 4 on all sides (3 sides).

-6 - 4 < 2x + 4 - 4 ≤ 16-4

We get: -10 < 2x ≤ 12

Now, let's get rid of the 2 that gets multiplied to x.

do that by dividing all sides by 2.

-10 : 2 < 2x : 2 ≤ 12 : 2

We get: -5 < x ≤ 6

X = {-4,-3,-2,-1,0,1,2,3,4,5,6}

Hope I helped!

For a parallel structure of identical​ components, the system can succeed if at least one of the components succeeds. Assume that components fail independently of each other and that each component has a 0.21 probability of failure. Complete parts​ (a) through​ (c) below.
Would it be unusual to observe one component​ fail? Two​ components?
It

would not
would
be unusual to observe one component​ fail, since the probability that one component​ fails,

enter your response here​, is

less
greater
than 0.05. It

would not
would
be unusual to observe two components​ fail, since the probability that two components​ fail,

enter your response here​, is

greater
less
than 0.05.

Answers

Using the probability concept, we have that:

a) It would not be unusual to observe one component​ fail, since the probability that one component​ fails is greater than 0.05.

b) It would be unusual to observe two components​ fail, since the probability that two components​ fail is less than 0.05.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes. If a probability is less than 0.05, the event is considered unusual.

In this problem, the probabilities are given as follows:

0.21 probability that one component fails, hence not unusual.(0.21)² = 0.0441 probability that two components fail, hence unusual.

More can be learned about probabilities at https://brainly.com/question/14398287

#SPJ1

Find how many quarts of 6% butterfat milk and 3% butterfat milk should be mixed to yield 45 quarts of 4% butterfat milk. Find how many quarts of 6 % butterfat milk and 3 % butterfat milk should be mixed to yield 45 quarts of 4 % butterfat milk . ​

Answers

Answer:

See below

Step-by-step explanation:

x = amount of 6% milk....   amount of fat = .06x

45-x = amount of 3% milk ...amount of fat = .03 (45-x)

Amount of fat in final mix of 45 quarts = .04 (45)

Inputs = output

.06x     +   .03(45-x)     =    .04(45)

.06x   +    1.35 - .03x     =  1.8

.03x = .45

x = 15   quarts of 6%      then  30  quarts of 3%

Which results only in a horizontal compression of Y=1/x
by a factor of 6?

Answers

Step-by-step explanation:

[tex] y = \frac{1}{x} [/tex]

In order to compress by a factor of 6, we multiply the variable x by 6. It would compress the hyperbola

[tex]y = \frac{1}{6x} [/tex]

Find the value of x for which m||n

Answers

Answer:

x = 61

Step-by-step explanation:

Alternate exterior angles must be congruent for the lines to be parallel.

3x - 43 = 2x + 18

x = 61

Kylee is playing a game she has to receive more than 20 points average of five games to move onto the next level which inequality represents the situation is T represents the total number of points Kylee earned for five games

Answers

Answer:

25

Step-by-step explanation:

bc i guess

how do i work this out?

Answers

She has 45% of the original amount left

Ratio and proportions

Fractions are written as a ratio of two integers

Given the following

Initial amount. = ∈4000


Amount given to her sister = 1/4 * 4000 = 1000

Amount given to her brother = 40% of 3000 = 1200

Amount left = 4000 - (1000+1200)

Amount left = ∈1800

Determine the percentage left

x * 4000 = 1800

x = 1800/4000

x = 0.45

x = 45%

Hence she has 45% of the original amount left

Learn more proportion here: https://brainly.com/question/19994681

#SPJ1

whats the GCF of x^6 and x^4​

Answers

x4
no cap in my rap im da mf truth + yb better + ratio bozo

Okay last question, I’ll mark brainliest whoever gets it correct first

Answers

Answer:

Angle ABC = 112°

Step-by-step explanation:

THAT IS CORRECT TRUST ME

Answer: ∠B = 112°

Step-by-Step Explanation:

We know, in a Parallelogram the angles on the same side of the Transversal are Supplementary (add up to 180°).

∠A and ∠B add up to 180°

∠A = 68°
∠B = Unknown

Therefore,
∠A + ∠B = 180°
68° + ∠B = 180°
∠B = 180° - 68°
=> ∠B = 112°

A $1,000.00 bond at 85 1/4 % pays 6.8 % annual interest. Calculate cost of bond.

Answers

Based on the par value of the bond and the percentage it was issued at, the cost of the bond is $852.50.

What is the cost of the bond?

The current cost of the bond is the present value of the bond's cashflows and its par value.

This is taken into account when the bond is issued at a certain percentage which in this case is 85 ¹/₄%.

The cost of the bond is:

= 1,000 x 85 ¹/₄%

= $852.50

Find out more on the cost of bonds at https://brainly.com/question/15567868.

#SPJ1

Which of the following is a sum of cubes?

Answers

Answer:

x^3 + 8y^6

Step-by-step explanation:

Answer:

the answer is B !!!

Step-by-step explanation:

thank me later lol

what fraction is 2500 of 3600

Answers

Answer:

25/36

Step-by-step explanation:

put 2500 over 3600 and remove the 0's to simplify it

The volume of the above solid is

Answers

The answer is B
V=pi•radius•^2•height
V=pi•36•5
V=180 pi
Other Questions
Water in freezing form may break the rocks in to pieces by force of Which observation helped scientists determine the age of the universe?A. All stars and galaxies are moving closer together at the same rate.B. All stars and galaxies are moving away from Earth at the samerate.OC. The farther away a star or galaxy is, the more slowly it is movingaway from us. D. The farther away a star or galaxy is, the more quickly it is movingaway from us. Health in panama improved as a result of construction of the panama canal because doctors protected laborers by. one gym membership charges $10 a month with a sign-up fee of $45. Another gym does not charge patrons a sign-up fee but costs $25 a month. at what month is the total cost of both memberships the same? Nitrogen monoxide (NO) is a pollutant known todestroy the ozone layer. Nitrogen monoxide reactswith ozone molecules (0,) to release oxygen anda nitrogen-containing compound Q. Given that onemolecule of nitrogen monoxide reacts with onemolecule of ozone to produce one molecule ofof Q.oxygen and one molecule of Q, identify the formula. 5. A group decided to use 250.0 mL of vinegar and 24.0 grams of baking soda. What is the limitingreactant? For a parallel structure of identical components, the system can succeed if at least one of the components succeeds. Assume that components fail independently of each other and that each component has a 0.21 probability of failure. Complete parts (a) through (c) below.Would it be unusual to observe one component fail? Two components?It would notwould be unusual to observe one component fail, since the probability that one component fails, enter your response here, is lessgreater than 0.05. It would notwould be unusual to observe two components fail, since the probability that two components fail, enter your response here, is greaterless than 0.05. PLEASE HELP I ONLY HAVE 3 MINS!! WILL MARK BRAINLEST As a restauranteur, your goal is not only to serve the finest cuisine, but also to have a kitchen staff and FOH (front of house) staff that works as a team and is ethically responsible and accountable to the owner, each other, and customers.One of the best ways that you can work towards accomplishing this goal is to put together a code of ethics that will help you visualize and spell out the goals of your business not only for yourself but also for your employeeswhich is exactly what you will be doing for this activity!Using the following guidelines, write a code of ethics that will cover your goals and some specifics about your business and how you want it run.Your code of ethics should include:basic guidelines for professional conduct:attitudeattendanceprofessional appearance and groomingconfidentiality policymodes of communicationhow to embrace and respect diversity in the workplacepreferred environmentally-sound practicespertinent laws and how to obey these laws and regulatory compliancepositive behaviors to exhibit while working as part of the team as well as when providing a product/service to customersleadership qualities that employees who want to move up the hierarchy should exhibit and practiceFor each section that you write, you should include an example scenario that illustrates the expectations and/or guidelines for the topic at hand. Bell Repair Service allocates overhead based on $50 per trip to each home that requests repair work, plus $1.20 per mile driven to the home. During the past week, Bell provided repair services for 20 customers with average driving distance of 15 miles each. What is the amount of overhead allocated for the week? The ____ was passed by Congress in an attempt to encourage government employees to report cost overruns by government contractors. What is the advantage of starting with the 4x objective before moving to the 10x and then the 40x objective?. Which approach to research is based on observing people in their own homes or communities? Because a project requires resources, often from various areas, many projects cross ____ or other boundaries to achieve their unique purposes Assessment?Which of the following statements is TRUE?A. Children should be taught and encouraged to help clean up toys.B. Teachers should put all the toys away to ensure they are stored properly.C. Toy chests should NOT be used in the classroom.D. It is acceptable to leave toys out as long as they are NOT left in high-traffic areas. What did the Puritans form to establish their own New World colony?Which of the following is the best definition of the term theocracy? Luis is going to an amusement park. The price of admission into the park is $20, and once he is inside the park, he will have to pay $4 for every ride he rides on. How much money would Luis have to pay in total if he goes on 6 rides? How much would he have to pay if he goes on r rides?Cost with 6 rides: Cost with r rides: need answers fast In which type of essay would youfind the following sentence?My life changed forever when mymom and I got into a car accident.A. personal - describes an experience or event insomeone's lifeB. expository - explains or gives informationC. persuasive - attempts to convince readers tothink or act in a certain way Determine which rotations will map this figure to itself. How to find the a in the equation y=ax^3 + d given the two points (0,10), (2,20) Departmental information for the four departments at Samoa Industries is provided below. Total Cost Cost Driver Square Feet Number of Employees Janitorial $150,000 Square footage serviced 200 40 Cafeteria 50,000 Number of employees 20,000 12 Cutting 1,125,000 4,000 120 Assembly 1,100,000 16,000 40 The Janitorial and Cafeteria departments are support departments. Samoa uses the sequential method to allocate support department costs, first allocating the costs from the Janitorial Department to the Cafeteria, Cutting, and Assembly departments. Question Content Area 1. Determine the dollar amount of the Janitorial Department costs to be allocated to the: a. Cafeteria Department $fill in the blank d3a3f7fe8044fdc_1 b. Cutting Department $fill in the blank d3a3f7fe8044fdc_2 c. Assembly Department $fill in the blank d3a3f7fe8044fdc_3 Question Content Area 2. Determine the dollar amount of the Cafeteria Department costs to be allocated to the: a. Cutting Department $fill in the blank e20147f63072f97_1 b. Assembly Department