HELP!!!!!! so many points for this one!!!!!! x^2+y^2+4x-2y=-1
The equation of a circle in the xy-plane is shown above. What is the radius of the circle

A.2
B.3
C.4
D.9

Answers

Answer 1

Answer:

A. 2

Step-by-step explanation:

Given circle:

x² + y² + 4x - 2y = -1

Convert the equation into the standard form of (x - k)² + (y - h)² = r²:

x² + 4x + 4 + y² - 2y + 1 = -1 + 4 + 1(x + 2)² + (y - 1)² = 2²

As per above:

r = 2

Correct choice is A

Answer 2

A.2

Answer:

Solution given:

equation of a circle is:

x²+y²+4x-2y=-1

x²+y²+4x-2y+1=0

Comparing above equation with

ax²+by²+2gx+2fy+c=0

we get

a=1

b=1

g=2

f=-1

c=1

now

radius of a circle (r)=[tex]\sqrt{g²+f²-c}[/tex]

substituting value

r=[tex]\sqrt{2²+(-1)²-1}=2[/tex]

therefore radius of a circle is 2 units


Related Questions

What is his weekly allowance if he ended with $15?

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3 dollars a day would be the answer i bel bye
3 dollars I believe

easy algebra question below first correct answer gets brainliest

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Answer:

3

Step-by-step explanation:

Easy pythagorean theorum question.

The law states that "A squared plus B squared, equals C squared."

A and B are the two sides that border the 90 degree mark.

C is the hypotenuse or the longest side/diagonal.

Since we know C and A (I chose to use A because why not) we can fill in the equation with what we know

2^2 + ?^2 = [tex]\sqrt{13^{2} }[/tex]

So

4 + ?^2 = [tex]\sqrt{13^{2} }[/tex]

Since the 13 is already squared in side of a root, it stays as 13

4 + x^2 = 13

4 - 4 + x^2 = 13 - 4

x^2 = 9

x^2 root = root of 9

x = 3

The missing side is 3.

Or you could use an online calculator xD

find find x in the diagram with angle 56 degree ​

Answers

Share the diagram to understand your question and I will be happy to answer your question .

Sheldon is baking 2-inch cookies. He has 3 trays that are the same size. On one tray, he makes 5 rows with 4 cookies in each row. He cannot fit any more cookies on the tray. He fills the second tray completely and only part of the third tray. How many cookies could Sheldon have made?

Answers

Answer: Sheldon has made 50 cookies

Step-by-step explanation: for the first test because there are 5 rows and 4 cookies on each row you would multiply 4 times 5. That equals 20. The first tray has twenty and all trays are the same size so if the second one is completely full then it also has twenty. The third one is only half way full meaning twenty divided by two equals ten. Ten is the amount of cookies on the third tray. If you add that all together that is 20+20+10=50

The number of cookies made by Sheldon will be equal to 50.

What is an arithmetic operation?

The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers. Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.

For the first test, you would multiply 4 by 5 because there are 5 rows and 4 cookies on each row. 20 is the result.

Since all trays are the same size and the first tray has twenty, if the second tray is totally filled, it will also have twenty.

Twenty divided by two equals 10 because the third one is only half full.

There are ten cookies on the third tray.

The total is,

20+20+10 = 50.

To know more about arithmetic operations:

https://brainly.com/question/13585407

#SPJ5

A student states that the reflection of triangle ABC across the y-axis is triangle A’B’C’. Determine if the student is correct or has made an error. <:)

Answers

Answer: The student is not correct

To reflect over the y axis, you use this rule

[tex](x,y) \to (-x,y)[/tex]

The x coordinate swaps in sign (from positive to negative, or vice versa) while the y coordinate stays the same.

So for a point like A(1,1), it should move to A ' (-1, 1) and not (-2,1) like the diagram shows.

B(3,1) should move to B ' (-3, 1)

C(1,4) should move to C ' (-1, 4)

It appears that the student applied a reflection over the y axis, and then they shifted the triangle 1 unit to the left.

8.52 The heights of 2-year-old children are normally distributed with a mean of 32 inches and a standard deviation of 1.5 inches. Pediatricians regularly measure the heights of toddlers to determine whether there is a problem. There may be a problem when a child is in the top or bottom 5% of heights. Determine the heights of 2-year-old children that could be a problem.

Answers

Answer:

Heights of 29.5 and below could be a problem.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The heights of 2-year-old children are normally distributed with a mean of 32 inches and a standard deviation of 1.5 inches.

This means that [tex]\mu = 32, \sigma = 1.5[/tex]

There may be a problem when a child is in the top or bottom 5% of heights. Determine the heights of 2-year-old children that could be a problem.

Heights at the 5th percentile and below. The 5th percentile is X when Z has a p-value of 0.05, so X when Z = -1.645. Thus

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.645 = \frac{X - 32}{1.5}[/tex]

[tex]X - 32 = -1.645*1.5[/tex]

[tex]X = 29.5[/tex]

Heights of 29.5 and below could be a problem.

I NEEDDDD HELPPPP ITS URGENTTTT!!!!!!

Answers

radius: (-3, 7)
center: 11

Please help me understand

Answers

Answer:

B. slope 1/4, y-intercept at ( 0, 5)

Step-by-step explanation:

slope m = change in y /chance in x = 5-4 / 0-(-4) = 1 / 4

the y-intercept is the point where the graph of the line intersects the y-axis so will have the coordinates (0 because x will be 0 if the point is on the y-axis, and y is a number) so is (0, a number)

we are given that one of the points is (x=0, y=5) so this is our y-intercept

OR

the slope intercept form equation of a line y= mx+b, where b is the y-intercept

y = (1/4)x +b, for the point (0, 5) we substitute x=0, and y=5

5 = (1/4)*0 +b

5 = b

can a right triangle be obtuse?

Answers

No, a triangle can not be obtuse because a right angle is 90 degrees and an obtuse angle has to be over than 90 degrees like an obtuse angle has to be like 91 degrees.

From an 80ft building the angle of elevation of the top of a taller building is 59 degrees and the angle of depression of the base of this building is 65 degrees determine the height of the taller building

Answers

Answer:

First we find the distance between the two buildings =

Step-by-step explanation:

[tex] \frac{80}{ \tan(65) } = 37.3 ft[/tex]

then the upper part of the taller building =

[tex]37.3 \times \tan(59) = 62 \: ft[/tex]

Now the total height of the taller building

[tex]80 + 62 = 142 \: ft[/tex]

Visualise 4.26 on the number line, up to 4 decimal places.

Answers

Answer:

is it 4.2626

Step-by-step explanation:

let me know if it right

Find the length of the arc with central angle of 205° and radius of 7 cm. Use 3.14 for pi(π) and round to the nearest hundredth.

12.52 cm
25.03 cm
87.61 cm
153.86 cm

Answers

The length of the arc with a central angle of 205° is 25.03 cm

Length of an arc

The formula for calculating the length of an arc is expressed as:

L = rtheta

Given the following parameters

r = 7cm

theta = 205° = 3.57792 radians

L = 7(3.57792)

L = 25.04544

Hence the length of the arc with a central angle of 205° is 25.03 cm

Learn more on length of an arc here: https://brainly.com/question/2005046


Matching the Meaning of Key Features of a Graph

Match the key aspect of a function's graph with its meaning.

Answers

Answer:

a goes to 3

b goes to 4

c goes to 1

d goes to 2

Step-by-step explanation:

just did it right on edge

Connie the fruiterer sells two fruit packs.
Pack 1 : 10 apples and 5 mangoes ($12)
Pack 2 : 15 apples and 4 mangoes ($14.15)
Determine the cost of 1 apple and 5 mangoes.

Answers

59$ mangotes
Ánd un aplle

Find the missing side. Round it to the nearest tenth

Answers

Answer: 53.6

Explanation:

When given a side and its opposing angle and another angle, to find its opposing side you may use the sine rule.

sin(Angle)/opposing side = sin(Angle)/opposing side

Applying this formula will give us the following:

1) sin90/x = sin66/49
2) 1/x = 0.01864
3) 1/0.01864 = x
4) x ≈ 53.6

Hope this helps, brainliest would be appreciated :)


Classify the following triangle. Check all that apply

Answers

Answer: (F)

Step-by-step explanation:

The answer is F is the correct answer

If a circle has a RADIUS of 12 cm, what is the AREA rounded to the nearest tenth?

Answers

Step-by-step explanation:

R^2*3,14=12^2*3,14=452,16 làm tròn đến phần  mười gần nhất là450

dilations geometry help please

Answers

Multiply x and y by 2:

A. (-6, 4)

B. (2, 2)

C. (-2, -2)

What do the graphs of sine and cosine have in common with the swinging you see?

The high and low points repeat in a pattern.

The cycle repeats at equal time intervals.

The swinging motion is smooth, unabrupt.

Answers

This is the same pattern in the graphs of sine and cosine. ... The correct answe is - The high and low points repear in pattern and the cycle repeats at equal time intervals. The correct answer: The high and low points repeat in pattern

Answer please be quick

Answers

Answer:

B

Step-by-step explanation:

The correct answer is B

Please help me to solve this two questions​

Answers

Answer:

c.8,625grams of flour

4a. X=12

Y=30

Z=60

Step-by-step explanation:

For c. , You have to convert the mixed numbers to fractions.

2¾ cups of flour= 2×4=8

8+3=11

Answer: 11/4 (11 over 4)

You multiply the 2 (whole number) by the 4 (bottom number) and then you get *8*

You then take the 8 (which was your answer) and add 3. This will give you 11

You take the 4 and use it as your denominator (bottom number) for the 11. So no need to find a denominator, because you just use the 4

For the fruit cake, she uses *1½* cups of flour more than carrot cake

Calculation:

1½ converted to an improper fraction= 1×2=2

2+1=3

Answer: 3/2 (3 over 2)

"Customer orders *3* carrot cakes and *4* fruit cakes

How many cups of flour are required to bake for the cakes ordered by the customer?"

11/4÷3= 8,25grams

3/2÷4= 0,375grams

8,25+0,375=8,625grams in total

*Feel free to correct me as I might be wrong!*

Need help ASAP with this question please

Answers

Answer:

4th option, 5 5/6

Step-by-step explanation:

8 1/2 - 2 2/3

= 17/2 - 8/3

= (51-16)/6

= 35/6

= 5 5/6

Answered by GAUTHMATH

Jin runs a 50-meter dash, he runs 6 times a day. Last week he ran 4 day and this week he ran 5 days in these 2 weeks how many kilometers did he run

Answers

Answer:

2.7 kilometers

Step-by-step explanation:

Distance per run = 50 meters

Number of run per day = 6

Distance run per day = Distance per run * Number of run per day

= 50 meters * 6

= 300 meters

Last week he ran 4 day

Total distance run last week = Distance run per day * number of days

= 300 meters * 4

= 1200 meters

this week he ran 5 days

Total distance run this week = Distance run per day * number of days

= 300 meters * 5

= 1500 meters

Total distance for two weeks = Total distance run last week + Total distance run this week

= 1200 meters + 1500 meters

= 2700 meters

1000 meters = 1 kilometer

2700 meters = 2700/1000

= 2.7 kilometers

Total distance for two weeks = 2.7 kilometers

If ABCD is dilated by a factor of }, the
coordinate of B' would be:
5
С
4
3
B
2
1
-5
4 3
-2
-10
1
2
3
4
5
-1
A
B' = ([?], [ ]
D
-3
Enter

Answers

Answer:

If ABCD is If ABCD is dilated by a factor of }, the

coordinate of B' would be:2

A game decreased in price by
2
3
. After the reduction it was priced at £17. What was the original price of the game?

Answers

Answer:

51

Step-by-step explanation:

Describe how two column and flowchart proofs are similar?

Answers

Answer:

Proofs begin with one or more given statements, which are provided. ... In a two column proof, the statements are written in one column, and the reasons are written next to them in a second column. A flow proof uses a diagram of to show each statement leading to the conclusion

Step-by-step explanation:

Mr. Denning bought a jacket for $67.50
and a tie for $12.50. If a sales tax of 3%
was added to the price of his purchase,
what was his total bill?

Answers

67.50 + 12.50 = 80

80/100 = 0,8 x 3 = 2.4

so, the total bill was 80 + 2.4 = 82.4

hope it helps :)

Giving brainliest! View image!

Answers

Answer:

58%

Step-by-step explanation:

10*5=50

7*3=21

21/50 chance to choose inside small rectangle

21/50*2 = 42/100 chance to choose inside small rectangle

100-42=58%

Divide 360 between Kunal and Mohit in the ratio of 7:8​

Answers

Answer:

K = 168 M = 192

Step-by-step explanation:

7:8 = 15

?:? = 360

Divide

360 / 15 = 24

Multiply

24 × 7 = 168

24 × 8 = 192

168:192 = 360

So, Kunal gets $168 and Mohit gets $192.

Step-by-step explanation:

Let the common ratio = x

Kunal = 7x

Mohit = 8x

Total value = 360

we know,

7x + 8x = 360

15x = 360

x = 360÷15

x = 24

so,

Kunal = 7x = 7×24=168

Mohit = 8x = 8×24=192

PLEASE HELP!! WILL MARK BRAINLIEST

Answers

Answer:

x = 25/2

y = 5

Step-by-step explanation:

The angles are corresponding angles and corresponding angles are equal when the lines are parallel

4x+8y = 18y

We also know that 18y +90 = 180 since they form a straight line

18y +90 = 180

Subtract 90 from each side

18y+90-90=180-90

18y = 90

y =5

Now we can solve for x

4x+8y = 18y

4x+8y-8y = 18y-8y

4x = 10y

Since y = 5

4x = 10(5)

4x = 50

4x/4 = 50/4

x = 25/2

x = 50/4

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