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.

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Related Questions

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:

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

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 .

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.

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Please help someone

Answers

Answer:

root of 64, root of 71,pie squared

Step-by-step explanation:

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.

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

Answers

Answer: 90.2

Step-by-step explanation:

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

(-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.

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

Answers

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

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.

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


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.

How are fractions, decimals, and percents related?

Answers

Answer:

yes bc they all have sum to do wit eachother

Step-by-step explanation:

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:

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]

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:

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:)

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.

h
– -1 = -3
6

what is the answer​

Answers

Answer:

-36

Step-by-step explanation:

Answer: -24

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.

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.  

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 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:

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

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.

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

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

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

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:

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