What is the radius of a circle whose equation is x2+y2−10x+6y+18=0?

2 units
4 units
8 units
16 units

Answers

Answer 1

Answer:

4 Units

Step-by-step explanation:

Edge 2021

Answer 2

Completing the squares and comparing with an standard equation, it is found that the radius of the circle is of 4 units.

What is the equation of a circle?

The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

In this problem, the equation is:

x² + y² - 10x + 6y = -18

Then, we start the steps to complete the squares, as follows:

x² - 10x + y² + 6y = -18

(x - 5)² + (y + 3)² = -18 + 25 + 9

(x - 5)² + (y + 3)² = 16

Then, the radius is found as follows:

r² = 16 -> r = 4 units.

More can be learned about the radius of a circle at https://brainly.com/question/24307696

#SPJ5


Related Questions

The line y+2x=b is perpendicular to a line that passes through the origin. If the two lines intersect at one point (k+2,2k), what is the value of k?​

Answers

Answer:

The line y+2x=b is perpendicular to a line that passes through the origin. If the two lines intersect at the point (k+2,2k)

Step-by-step explanation:

that should be right

The value of k is 2/3.

We have,

To determine the value of k, we need to find the equation of the line passing through the origin that is perpendicular to the line y + 2x = b.

The given line, y + 2x = b, can be rewritten in slope-intercept form

(y = mx + c) by solving for y:

y = -2x + b

Since the line passing through the origin is perpendicular to this line, its slope will be the negative reciprocal of the slope of the given line.

The given line has a slope of -2, so the perpendicular line will have a slope of 1/2.

Using the point-slope form (y - y1 = m(x - x1)) with the point (k + 2, 2k), we can write the equation of the perpendicular line passing through the origin as:

y - 0 = (1/2)(x - 0)

y = (1/2)x

To find the value of k, we equate the y-values of the two lines at the point of intersection:

(1/2)x = 2k

x = 4k

Since the x-coordinate of the point of intersection is k + 2, we can set it equal to 4k and solve for k:

k + 2 = 4k

2 = 3k

k = 2/3

Therefore,

The value of k is 2/3.

Learn more about equation of a line here:

https://brainly.com/question/23087740

#SPJ2

A deli sells sliced meat and cheese. One customer purchases 4 pounds of meat and 5 pounds of cheese for a total of $30.50. A sandwich shop owner comes in and purchases 11 pounds of meat and 14 pounds of cheese for $84.50. The system of equations below represents the situation.

4x + 5y = 30.50  

11x + 14y = 84.50

The variable x represents the .

The variable y represents the .

The deli charges $ .

Answers

Answer:x=cost per pound of meat

Y=Cost per pound of cheese

The deli charges 4.50 for a pound of meat

Step-by-step explanation:

Answer:

The variable x represents the

✔ cost per pound of meat

.

The variable y represents the

✔ cost per pound of cheese

.

The deli charges $

✔ 4.50 for a pound of meat

.

Step-by-step explanation:

Milo pays $3 per pound for dog food at Pat's Pet
Palace. The graph below represents the cost per
pound of food at Mark's Mutt Market. At which
store will Milo pay a lower price per pound for
dog food?

Answers

Answer:

Pat Pet's Palace

Step-by-step explanation:

Price of dog food at Pat Pet's Palace = $3 per pound

Price of dog food at Mark's Mutt Market can be estimated using the graph given.

The graph is a proportional graph, thus, the constant of proportionality between cost and pound = y/x

Using the coordinates of a point on the line, (2.5, 10), constant of proportionality or unit rate = y/x = 10/2.5 = 4.

This means the price of dog food at Mark's Mutt Market is $4 per pound.

Therefore, Milo would pay a lower price per pound for dog food at Pat Pet's Palace.

The graph shows the rate at which water is leaking from a tank. The slope of the line gives the leaking rate in gallons per minute.

Answers

Answer:

the rise is 6 and the run is 7.  the rate of leaking per minunte is about .8  gallons per minute

Step-by-step explanation:

i think its right this time

(-1, 4) and (0,-1) writing out linear equations giving two points

Answers

Answer:

The equation is y = -5x - 1.

Step-by-step explanation:

1. Find the slope using the formula. Slope = (4 + 1) / (-1 - 0) which is equal to 5 / -1 which is -5.

2. Use the slope-point formula to construct an equation. The equation is y - 4 = -5 * (x + 1)

3. Simplify. We would get y = -5x - 5 + 4, which is y = -5x - 1.

Answer: The equation is y = -5x - 1.

Math HELP PLEASEE URGENT NOWWWWWW MATH!!!!

Answers

Answer:

A

Step-by-step explanation:

Answer is the first choice. you can tell by the notation.

Answer:

is A

Step-by-step explanation:

Because i now how do this

If the ratio of circles to triangles you will only need to write ratios in one form of your choice

Answers

Answer:

Ratio of area of circles: = πr2 :πc2 = πr2 :π r2 4 = 4 :1. 1. The small equilateral triangle is rotated through 60° about O, the center of the circle. The arm of the rotation is the radius of the circle

Step-by-step explanation:

Find slope or line grab

Answers

Answer:

Step-by-step explanation:

divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .

44% x 205???????????????????????????????

Answers

Answer: 90.2

Step-by-step explanation:


Maxwell buys a bag of dog food that contains 18 cups of food, Maxwell feeds his dog 1 cups each day. Maxwell says he will be able to feed his dog for 27 days.
correct?

Answers

Answer:

No. He will not have enough dog food for 27 days.

Step-by-step explanation:

If he only has 18 cups and he feeds one cup to his dog everyday. He will not have enough for 27 days. he will only have enough for 18.

Which represents a unit rate the cost of cat food $36 per 3 bag, the cost of orange juice is $3 per jug, the cost of photocopies is $1 per 10 pages, the cost of roses is $50 per dozen

Answers

Answer:

Its definitely 23$ is equally into 33$ and if its add it will be €23 and then you will add some randomly number and plus it to 23 and 13 is the answer thank me later

A theater has 20 seats in the first row, 22 in the second row, 24 in the third row, and so on for 25 rows. How many seats are in the last row?

Answers

If the number of  seats that are in the last row is 1100 seats.

Number of seats

First row=20

Second row=22

Third row=24

A.P = 20,22,24,…

a=20

d=22−20=2

n=25

Using the formula of the sum of the first n terms of an A.P

Sn=n/2[2a+(n−1)d]

S25= 25/2 [2×20 +(25-1) 2]

S25 = 12.5 [40 +24 ×2]

S25=​ 12.5 [88]

S25= 1100

Therefore If a theater has 20 seats in the first row, 22 in the second row, 24 in the third row, and so on for 25 rows. The number of  seats that are in the last row is 1100 seats.

Learn more about Number of seats here: https://brainly.com/question/14648801

#SPJ1

HELP ME PLEASE geometry only answer if you know please!

Answers

Answer:

2. Reason: Addition Property of Equality

3. Statement: 3x=18

4. Reason: Division property of Equality

5. Statement: x=6 Reason: Simplifying.

Step-by-step explanation:

I'm pretty sure this is correct.  

عدد الطالبات
فئات الدرجات
۳
و
من خلال الجدول الذي أمامك:
احسبي الوسط الحسابي بالطريقة
المباشرة.
، كوني الجدول التكراري الهابط
الوسيط من خلال الجدول
التكراري الهابط الذي كونتية في الخطوة
السابقة.
۱۷
احسبي
10
و
المجموع
21

Answers

Answer:

الطاولة؟

Step-by-step explanation:

in 7 hours, the temperature on the slopes of a mountain ski resort fell from 9° f to 2° f. what was the average change per hour.​

Answers

Answer:

1 deggre per hour

Step-by-step explanation:

Earl runs 60 meters in 40 seconds. How many meters per second does Earl run?

Answers

Earl runs 1.5 meters per second.................

Perrin uses 24 ounces of milk in a recipe. How many cups is 24 ounces?

???​

Answers

1 cup is 8 ounce
24/8 = 3 cup

6. a) Round 50.24 to the nearest whole number. Draw a number line to show your thinking.

Answers

Answer:

50

I've attached the drawing of my number line to show my thinking.  Download to turn it in if you need to.

Have a beautiful day, and stay safe.

If f(1) = 6 and f(n) = f(n-1) + 2 then find the value of f(4).

Answers

Answer:

5

Step-by-step explanation:

f(4-1)+2

=3+2

=5

PLS GIVE BRAINLIEST

A restaurant offers delivery for their pizzas. The total cost is a delivery fee added to the price of the pizzas. One customer pays $25 to have 2 pizzas delivered. Another customer pays $58 for 5 pizzas. How many pizzas are delivered to a customer who pays $80

Answers

Answer:

7 pizzas

Step-by-step explanation

First we subtract 58-25=33

Then we subtract 5-2=3

Now, we have 33 over 3 so we divide them and we get 11

So, that means that each pizza costs $11 and the fee that they charge for each pizza is 3.

So if the customer pays $80 that means that he bought 7 pizzas and he payed $3 fee.

Please help someone

Answers

Answer:

root of 64, root of 71,pie squared

Step-by-step explanation:

3(x+5) +2(2x+3)=0 solveeeeeeeeeeeedddddddddedddddd

Answers

Step-by-step explanation:

[tex]{:}\longrightarrow[/tex][tex]\sf 3 (x+5)+2 (2x+3)=0 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 3x+15+4x+6=0 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 3x+4x+15+6=0 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 7x+21=0 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 7x=-21 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {-21}{7}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x=-3 [/tex]

[tex]\maltese{\underline{\boxed{\bf {x=-3}}}}[/tex]

h
– -1 = -3
6

what is the answer​

Answers

Answer:

-36

Step-by-step explanation:

Answer: -24

Explanation:

How are fractions, decimals, and percents related?

Answers

Answer:

yes bc they all have sum to do wit eachother

Step-by-step explanation:

Please help
WILL MARK BRAINLIST

Answers

Answer:

The answer is A, 13, -13.

Step-by-step explanation:

If this helped I would appreciate it if you marked me brainliest. Thank you and have a nice day!

Answer:A 13,-13

Step-by-step explanation:

HELP PLEASE!!!! It's overdue :(

Answers

1: y = 3x + 42

2: y = 3(40) + 42

   y = 162

3: Bob put 657 in a bank account. He gained 2 times the amount per year. y = 2x + 657

Plz give brainliest.

write a Pythagorean triplet whose smallest value is 14​

Answers

Here is one: (14, 48, 50)

Formula=(2m)²,(m²-1)².(m²+1)²

according to ques
smallest number =14
means 2m =14
m=14/2=7

m²-1= 7²-1= 49-1= 48

m²+1=7²+1= 49+1=50

hence the required triplet is 14, 48 and 50

Help me pleaseeeee:(((

Answers

Answer:

1.25

Step-by-step explanation:

if you paid 7.50 for 6 feet of rope we can figure out how much each foot of rope is by example 750 divided by 6 which equals 1.25 .

Answer:

$62.50

Step-by-step explanation:

Proportions:

$7.50 ⇔ 6ft

$R ⇔ 50ft

R = 7.5*50/6

R = $62.5

please answer asap it’s due in 1 min

Answers

They are corresponding angles. The angle rule of corresponding angles or the corresponding angles postulate states that the corresponding angles are equal if a transversal cuts two parallel lines. Corresponding angles are equal if the transversal line crosses at least two parallel lines:)

An airplane measures the angle of depression to a tree to be 15 degree it measures that it is 2 miles off the ground how far is the airplane from the bottom of the tree ?

Answers

Answer:

2.070552361 miles

Step-by-step explanation:

2 / cos 15 = 2.070552361

Other Questions
Spiro Corp. uses the sum-of-the-years' digits method to depreciate equipment purchased in January year 1 for $20,000. The estimated salvage value of the equipment is $2,000 and the estimated useful life is four years. What should Spiro report as the asset's carrying amount as of December 31, year 3 May y'all please help me Anthony has t tickets. Charlie has 2 less than triple the number of tickets that Anthony has. In terms of t, how many tickets does Charlie have? Which one doesnt belong Prime meridianEquator LongitudeTime zones _________feedback is a type of feedback in which a system is triggered to produce an output. -66/22 to a decimal PLEASE I NEED THE ANSWER!!! I'LL MARK BRAINLIEST WILL GIVE BRAINLIEST Wilma is looking for facts about social media for her research project. What fact should she use for her project? a Communicating with social media is hard b Social media is a great way to communicate. c Social media is fun and easy to use. d The minimum age for some social media sites is 13. please help me and i will give you 5 stars Choose the best real world exzample of convection:A. clouds forming in the atmosphereB. touching a warm cooking pot handleC. sitting in front of a warm fireplaceWHICH ONE IS THE ANSWER HELP PLESEEE Can someone plz explain I would appreciate it Adidas America Inc. v. Payless Shoesource Inc.Sneaker giant Adidas once went to war with discount shoe chain Payless, and the conflict was all due to stripes. Adidas has used three stripes on its shoes since 1952, and has registered the pattern as its trademark. But during the 1990s, Payless began selling athletic shoes with a similar look. Some of their sneakers had two parallel lines and others had four. The two companies met and reached an agreement. Payless would stop selling its shoes. However, Payless brought back its striped shoes in 2001, which went against the settlement. So Adidas America Inc. took them to court. The jury trial lasted seven years. During the course of it, 268 pairs of sneakers were examined. By the end, the jury determined that Payless owed Adidas $305 million. Wall Street Journals Law Blog declared that was $100 million for each stripe.Why is this case an example of trademark violation?A) Payless made sneakers with a pattern that is similar to the Adidas logoB) Payless hired a designer from Adidas to create sneakers for them,C) Payless used the Adidas logo in its TV commercials and print adsD) Payless made running shoes based on the style and design of an adidas sneaker. What is active listening? Listening with complete attention Enjoyable listening Natural ability Listening to judge A concession stand charges $2.50 for a bag of popcorn. The stand has already sold 30 bags of popcorn. How many more bags x of popcorn must be sold to earn at least $110? Write your answer as an inequality. Function 1: Alan starts with $30 this week. He spends $5.30 per week. Let y be the amount remaining as a function of the number of weeks, X. 0 30 1 24.70 2 19.40 3 14.1 The table below shows the total cost for purchasing a certain number of equally-priced concert tickets.Total cost (in dollars)Number of concert tickets110110110222275275275555440440440888Write an equation to describe the relationship between ttt, the number of tickets, and ccc, the total cost of tickets. Ms. Kaplan is a new fourth grade teacher who feels passionate about helping students learn. She is teaching in a poverty-stricken area of Houston and knows that many of the students receive little academic support and encouragement at home. Its the fourth week of school, and she feels good about the way her class is progressing, learning routines, and meeting her expectations. Today she entered the teachers lounge and heard two other teachers talking about Michael, one of her African American students. When she entered, they told her they had taught Michael in second and third grades. They warned her that Michael would cause trouble, fail to complete his work, and distract other children. They described Michaels poor academic performance and said his mom doesnot support the teachers efforts. After Ms. Kaplans experience in the teachers lounge, consider the possible dilemmas that might arise regarding her expectations of Michael. Describe common negative effects that might occur and explain how Ms. Kaplan might prevent such effects. A college student takes the same number of credits each semester. She had 9 credits when she started, and after 6 semesters, she had 117 credits. Please help me!Based on the information shown on this map, in whichregion was Babylon located?a. southwest Asia (Middle East)b. South Americac. western Africad. Western Europe 1. What is the most likely form for this piece?A. LiedB. Character pieceC. Symphonic poemD. Concerto grosso 2. In what period was the piece above likely written? A. Baroque B. Classical C. Romantic D. Twentieth/Twenty- First Century DNA Base Pairing WorksheetThere are base pairing rules for writing complimentary DNA strands for a given strand.A pairs with TC pairs with GIn RNA, A pairs with U, instead of T.Write the complimentary DNA strand for each given strand of DNA.1. GGCATTCGCGATCATG2. CGTTAGCATGCTTCAT3. ACTAACGGTAGCTAGC