What is the center of the circle represented by the equation x2 + y2 - 4x + 2y + 1 = 0?

Answers

Answer 1

Answer:(2,-1)

Step-by-step explanation:

Answer 2

The required center of the given circle is given as (2, -1).

What is a circle?

The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by

(x - h)² + (y - k)² = r²

where h, k is the coordinate of the center of the circle on coordinate plane and r is the radius of the circle.

Here,
The standard form of the equation of the circle s is given as,
x² + y² -2hx -2ky + c = 0

Given the equation of the circle is
x² + y² - 4x + 2y + 1 = 0

Comparing the equations,
-2h = -4
h = 2

-2k = 2
k = -1

Thus, the required center of the given circle is given as (2, -1).

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Related Questions

What is the mixed number form of 27/4 SOMEONE PLS HELP

Answers

Answer:

6 [tex]\frac{3}{4}[/tex]

what is 4/9 times what equals 12

Answers

Step-by-step explanation:

4/9A = 12

A = 12×9/4

= 27

......

598x 10 reminder of 3

Answers

Answer:

you wrote that a bit wrong

Step-by-step explanation:

Pls help me
8th grade math

Answers

The y intercept is 7

Answer:

y-intercept = 7

Step-by-step explanation:

y intercept is where the line meets with the y axis which is the vertical axis.

hope this helped!

What reference angle will you use to determine cos 480° ?
A.)30°
B.)45°
C.)60°
D.)0°

Answers

I believe your answer would be C

Ms.banks walks at about 3 feet per second how many miles per day could she travel is she walked without taking a break?

Answers

Answer:

About 49.09 miles a day .

Step-by-step explanation:

8
Kevin cycles past his mum who is sitting on a park bench. What is the relative speed
if Kevin is cycling at 20 km/h?
Include a unit in your answer.​

Answers

Answer:

Kevin cycles past his mum who is sitting on a park bench. What is the relative speed if Kevin is cycling at 20 km/h?

Step-by-step explanation:

20 km/h

Which value of n makes this equation true?
3n + 3
5
5n– 1
9
OA.
n=-16
OB.
n=-2
O C.
n= 2
OD.
n = 16

Answers

Answer:

the answer is A. -16

Step-by-step explanation:

3(-16)+3= -45

-45/5=

-9

5(-16)-1=-81

-81/9=

-9

-9=-9

Salazar is driving 70 miles per hour. At this rate, how long will it take for him to travel 840 miles?

Answers

Answer:

12 hours

Step-by-step explanation:

Step 1:

70 : 1             Ratio

Step 2:

70 : 1 = 840 : x       Equation

Step 3:

840 = 70x      Multiply

Step 4:

x = 840 ÷ 70      Divide

Answer:

12 hours

Hope This Helps :)

Space space space space

Answers

Answer:

Step-by-step explanation:

Comma comma comma comma

Answer:

space is scape

Step-by-step explanation:

Luisa wants to use place-value blocks to show 367+215. How many tens blocks will she need to show the sum by regrouping?

Answers

Answer:

She will need 58 tens blocks but there is a leftover amount of 2 so that would be 2 ones as well.

Step-by-step explanation:

357+215=582/10=58.2  (2 is the remander and thats how I got 2 ones as well)

The volume V of a pyramid is given by the formula V = Bh where B is the area of the base and h is the height
v = 216 cm
B - 36 cm
a. Solve the formula for h
b. Find the height of the pyramid
The height is
centimeters

Answers

Answer:

A. V/B=H B. The height, h, is 6 cm.

Step-by-step explanation:

A. Rearrange the formula V=Bh by dividing both sides by B to isolate h.

B. Plug in the Volume and Base into your rearranged formula to find the height. 216/36= h. h=6

a. The formula for height is h = V/B.

b. The height of the pyramid is 6 centimetres.

What is the total surface area of a given pyramid ?

The total surface area of a pyramid is the surface area of the triangular sides in addition to the surface area of the triangular base.

According to the given question we have the volume of the pyramid which is 216 cm³ and base is also given which is 36 cm.

Given V = Bh

∴ h = V/B.

h = 216/36

h = 6 cm.

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What is the correct answer on identify the error(s) in the proposed proof?

Answers

Answer:

correct i think

Step-by-step explanation:

Simplify 5^2•5^4
A. 5•8
B. 5^8
C. 5^2
D. 5^6

Answers

D.5^6 you add the 4 and the 2
add the exponents which leaves you D. 5^6

If n // m, which of the following statements are true? Select all that apply.
B
2.
3
200
А
60°
A m2 2 = 60°
m
B. m23 = 100
Cm2 2 + m 24 = 80°
D. m2 2 + m23 = 80°

Answers

Answer:

A is answer

Step-by-step explanation:

please follow me

Answer:

B and C

Step-by-step explanation:

Since m and n are parallel, we can call the two lines extending from the point B transversals.

[tex]m\angle{1} = 60^\circ[/tex] because they are vertical angles

[tex]m\angle{2} = 20^\circ[/tex] from the corresponding angles theorem.

[tex]m\angle{4} = 60^\circ[/tex] from the corresponding angles theorem.

[tex]m\angle{3} = 100^\circ[/tex] because angle 2 and 4 sum to 80, and [tex]m\angle{2} + m\angle{3} + m\angle{4} = 180^\circ[/tex] because it is a straight angle.

From this, we can see which ones are true.

A is false because angle 2 is 20 degrees.

B is true because angle 3 is 100 degrees.

C is true because angle 2 + angle 4 = 20 + 60 = 80 degrees.

D is false because angle 2 + angle 3 = 20 + 100 = 120 degrees.

Therefore, only B and C are true.

Easy question for easy points

Answers

Answer:

50 berries left over

Step-by-step explanation:

55 berries     1700 berries

--------------- = -------------------

1 jar                   x jars

Using cross products

55x = 1700*1

Divide each side by 55

55x/55 = 1700/55

x = 1700/55

Changing to a mixed number

55 goes into 1700 30 times

30 *55 =16501700-1650 = 50

x = 30 50/55 = 30 10/11

There are 50 berries left over

Answer:

50 berries left over

Step-by-step explanation:

55 berries     1700 berries

--------------- = -------------------

1 jar                   x jars

Using cross products

55x = 1700*1

Divide each side by 55

55x/55 = 1700/55

x = 1700/55

Changing to a mixed number

55 goes into 1700 30 times

30 *55 =16501700-1650 = 50

x = 30 50/55 = 30 10/11

There are 50 berries left over

Step-by-step explanation:

Find the value of x in the attached shape

Answers

Answer:

x = 110

Step-by-step explanation:

This shape is a heptagon. A heptagon's interior angles add up to 900 degrees. You can solve for x by finding the sum of all known values, and subtracting that sum from 900.

105 + 150 + 140 + 135 + 125 + 135 = 790

900 - 790 = 110

Answer:

it's the haptagon so it's sum of all sides is equall to900 degree

so first add the side accept x and subtract it with 900 degree

the answer will be 110 degre

hope it helps u

Nathan received a package for his birthday the package wait $5,910,000 milligrams select the conversions that are equivalent to 5,910,000. Mark all that apply.
59,100 kilograms
59.1 centigrams
591,000 centigrams
5.91 kilograms

Answers

Answer:

5.91 kilograms

591,000 centigrams

Step-by-step explanation:

These two are WRONG:

59,100 kilograms

59.1 centigrams

What is the mean score what is the median of the score brookewood medical center

Answers

Step-by-step explanation:

The mean of a set a score is simply the average score.

  To find the mean, simply sum the individual scores and divide by the total number of scores;

  Mean of a  set of score  = [tex]\frac{Total scores}{Number of scores}[/tex]

Another way to find the mean is using:

   Mean  = [tex]\frac{summation of all f(x)}{summation of all the frequency}[/tex]

Multiply the frequency of each score with the score and divide by the sum of all of the frequency.

2. The median is the middle score;

 Arrange the data set from the lowest to the highest, the median is the one that falls in the middle.

If there are two numbers find their sum and divide by 2.

yesterday,it's was negative 7 degrees Fahrenheit outside today, it is 14 degrees Fahrenheit warmer. Click on today's temperature

Answers

Answer:

It is 7 degrees.

Step-by-step explanation:

Hope this helps! Add -7 + 14= 7

One analog clock loses 3 minutes every 2 hours and another analog clock gains 3 minutes every 4 hours. At noon, the owner sets the correct time on both clocks and leaves on a business trip. When he returns home in less than two weeks, the clocks show the same time. What time do the clocks show? PLEASE HELP ASAP

Answers

Answer:

12 noon

Step-by-step explanation:

Clock 1 loses 3 minutes every 2 hours. Now, 2 hours = 120 minutes.

This means, it has speed of 120 - 3 = 117 minutes for every 2 hours.

Thus, in 1 hours, it's speed = 117/2 = 58.5 min/hr

Clock 2 gains 3 minutes every 4 hours

Which means in an hour, it gains ; 4/3 minutes

Thus, it's speed an hour is; 60 + 4/3 = 61.333 min/hr

Now, When he returns home in less than two weeks, the clocks show the same time.

let's say the number of hours he was away is x. For the 2 clocks to show the same time, it means they have to show it by 12 noon at another day since it was at noon that he set the correct times before leaving.

Thus, they will both be showing 12 noon.

cómo se escribe el número 88,317​

Answers

Answer:

ochenta y ocho mil trescientos diecisiete

Step-by-step explanation:

eighty-eight thousand three hundred seventeen

Answer:

80,000 + 8,000 + 300 + 10 + 7

eighty-eight thousand three hundred seventeen

Step-by-step explanation:

hola <3 espero que haya ayudado

The area base of this rectangular prism is 256 in2. What is the volume of the rectangular prism?

Answers

Step-by-step explanation:

volume of the rectangular prism is obtained from the following equation :

rectangular prism base area × rectangular prism height

so the volume is : 256 × h

A bakery sells 3 muffins for every 5 pizza pies. The bakery sold a total of 24 muffins and pizza pies together. How many of each kind did the bakery sell?
6 muffins and 18 pizza pies
9 muffins and 15 pizza pies
15 muffins and 6 pizza pies
18 muffins and 6 pizza pies

Answers

Answer:

b

Step-by-step explanation:

9 muffins and 15 pizza pies. im pretty sure

I need help please! this is on EDGE2020 !

Answers

Answer:

D

Step-by-step explanation

A. there are 6 triangles so not this

B. Only 2 rectangles

C. 6 triangles once again

D. everything matches

Answer:

for every 6 triangles there are 2 rectangles

According to a study published in the New England Journal of Medicine, overweight people on low-carbohydrate and Mediterranean diets lost more weight and got greater cardiovascular benefits than people on a conventional low-fat diet (The Boston Globe, July 17, 2008). A nutritionist wishes to verify these results and follows 30 dieters on the low-carbohydrate and Mediterranean diets and 30 dieters on the low-fat diet. These data (measured in pounds) can be found on the text website, labeled Different Diets. Let Low-carb or Mediterranean and Low-fat diets represent populations 1 and 2, respectively. Use Table 2.
Low-carb Low-carb/
Mediterrean Diets Low- Fat diet Mediterreand diet Low-fat Diet
9.5 6.5 6.8 5.9
8.1 5.8 9.1 6.9
10.4 9.9 9.4 9.1
11.9 5.1 10.2 8.0
11.8 8.0 9.5 8.9
12.6 6.3 9.5 3.4
6.7 6.3 9.4 4.6
9.6 4.4 12.0 6.2
11.6 5.7 9.9 4.6
8.4 5.9 9.7 6.7
9.0 6.8 9.2 4.6
7.5 5.1 13.0 7.1
7.2 6.3 11.3 11.0
8.5 5.5 13.6 4.5
8.8 5.5 9.0 3.9
a.Set up the hypotheses to test the claim that the mean weight loss for those on low-carbohydrate or Mediterranean diets is greater than the mean weight loss for those on a conventional low-fat diet.
H0: ?1 ? ?2 ? 0; HA: ?1 ? ?2 > 0
H0: ?1 ? ?2 = 0; HA: ?1 ? ?2 ? 0
H0: ?1 ? ?2 ? 0; HA: ?1 ? ?2 < 0
b-1.Using the appropriate commands in Excel, find the value of the test statistic. Assume that the population variances are equal and that the test is conducted at the 5% significance level. (Round your answer to 2 decimal places.)
Test statistic
b-2. What is the critical value and the rejection rule?
Reject H0 if tdf < -1.672.
Reject H0 if tdf < -2.002.
Reject H0 if tdf > 2.002.
Reject H0 if tdf > 1.672.
c. At the 5% significance level, can the nutritionist conclude that overweight people on low-carbohydrate or Mediterranean diets lost more weight than people on a conventional low-fat diet?
No
Yes
Low-carb/Mediterrean Diets Low-fat Diet
9.5 6.5
8.1 5.8
10.4 9.9
11.9 5.1
11.8 8
12.6 6.3
6.7 6.3
9.6 4.4
11.6 5.7
8.4 5.9
9 6.8
7.5 5.1
7.2 6.3
8.5 5.5
8.8 5.5
6.8 5.9
9.1 6.9
9.4 9.1
10. 2 8
9.5 8.9
9.5 3.4
9.4 4.6
12 6.2
9.9 4.6
9.7 6.7
9.2 4.6
13 7.1
11.3 11
13.6 4.5
9 3.9

Answers

Answer:

Explained below.

Step-by-step explanation:

A two-sample test is to be performed to determine whether the mean weight loss for those on low-carbohydrate or Mediterranean diets is greater than the mean weight loss for those on a conventional low-fat diet.

(a)

The hypothesis can be defined as follows:

H₀: μ₁ - μ₂ ≤ 0 vs. Hₐ: μ₁ - μ₂ > 0

(b-1)

Use Excel to perform the t test for independent samples.

The output is attached below.

The test statistic value is, t = 7.58.

(b-2)

The degrees of freedom is, df = 58.

The critical value is, t₅₈ = 1.672.

The rejection region is:

Rejected H₀ if t > t₅₈ = 1.672.

(c)

Decision:

t = 7.58 > t₅₈ = 1.672

The null hypothesis will be rejected at 5% level of significance.

Thus, the nutritionist can conclude that overweight people on low-carbohydrate or Mediterranean diets lost more weight than people on a conventional low-fat diet.

The correct option is Yes.

1x2x3x4x5 will make brainliest

Answers

Answer:

120

Step-by-step explanation:

I wrote down the equation on paper and solved it

The product of the given numbers is 120.

The given expression is 1×2×3×4×5.

Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.

Here, 1×2×3×4×5 = 120

Therefore, the product of the given numbers is 120.

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What must be true about the average rate of change between any two points on the graph of an increasing function?

Answers

Answer:

If a function is increasing, the average rate of change between any 2 points must be positive.

If we have an increasing function, the average rate of change between any two points must always be positive.

What must be true about the average rate of change?

For an increasing function f(x), we have that if:

b > a

Then:

f(b) > f(a).

Now, we define the average rate of change on an interval (a, b) as:

[tex]R = \frac{f(b) - f(a)}{b - a}[/tex]

In this case, because:

b > a

f(b) > f(a)

Then:

b - a > 0

f(b) - f(a) > 0.

So both numerator and denominator are positive, which implies that the quotient must be positive.

Then, if we have an increasing function, the average rate of change between any two points must always be positive.

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What is the square root of 36?
A.4
B.6
C.8
D.10

Answers

Answer:

B 6

Step-by-step explanation:

because 6x6 is 36

Answer:

6

Step-by-step explanation:

6×6=36 bdhdgsjsbdbd

a. -3x2 + 4x +5 for x =-2

Answers

Answer:

9

Step-by-step explanation:

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