The equation x2 + y2 - 4x + 2y = b describes a circle. The radius of the circle is 7 units. What is the valine of b in the equation?

Answers

Answer 1

Answer:

44 = b

Step-by-step explanation:

The equation for a circle centered in the point (a, b) and of radius R is:

(x - a)^2 + (y - b)^2 = R^2

Now we start with the equation:

x^2 + y^2 - 4x + 2y = b

First, we can reorder the terms as:

(x^2 + 2*(-2)*x) + (y^2 + 2*y) = b

Now let's complete the squares:

In the first parentheses we can add and subtract 4

(x^2 + 2*(-2)*x + 4 - 4) +  (y^2 + 2*y) = b

(x^2 - 2)^2 - 4 + (y^2 + 2*y) = b

Now let's complete the other square, here we need to add and subtract 1.

(x^2 - 2)^2 - 4 + (y^2 + 2*y + 1 - 1) = b

(x^2 - 2)^2 - 4 + (y + 1)^2 - 1 = b

(x^2 - 2)^2 + (y + 1)^2 = b + 1 + 4

Then the radius of this circle is:

R = √(b + 1 + 4)

And we know that R  = 7, then:

7 = √(b + 1 + 4)

7^2 = b + 1 + 4

49 = b  +5

49 - 5 = b

44 = b


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Answer:

there are 2 daisies

Step-by-step explanation:

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Answer:

See each answer bolded below

Step-by-step explanation:

1. Area of the rectangle is 20 * 30 = 600

Area of the 6 circles is 6(25pi)

150pi/600 = 0.7854

1 - 0.7854 = 0.2146

convert to percentage 21.46%

2. 6/16 -> 3/8

Roughly 38% (37.5)

3. 10/24 = 0.41666666667 or 0.4167

41.66

roughly 42%

4. 12/36 -> 1/3

33.3333

33%

Subtract ​(7.8​5.1t) from ​(2.8​3.2t). Use the Commutative Property to show the difference another way. Choose the correct difference. A. 1.9t5 B. 51.9t C. 8.3t5 D. 58.3t

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C is the answer.......

USING THE DRAWING BELOW IDENTIFY THE FIGURES REPRESENTED BY THE LETTERS,

A
B
C
E
D


Answers

Answer:

If this is the type of question that I think it is then:

A) trapezoid

B) square

C) parallelogram

D) rectangle

E) rhombus

Step-by-step explanation:

If it is not, then I apologize.

Question 2 (10 points)
The supervisor at the bottle factory took a random sample of 17 bottles
manufactured by machine A. He found that 1 bottle in this sample was
defective. If machine A produces 3125 bottles per day, based on the
supervisor's sample about how many defective bottles are produced by machine
A per day?
A) 184
B) 199
C) 189
D) 194

Answers

Answer: A) 184

Explanation:
Out of 17 bottles from the sample, 1 of them were defected, we are left with a fraction of 1/17 of cups out of the total would be defected. We multiply that fraction with the 3125 bottles that machine A produces to find how many defected bottles are produced by it a day.

(1/17) x 3125 = 183.8

The answer is 183.8, after rounding to the nearest one, the answer is 184.

P(A) = 0.75 P(B) = 0.93 P(A and B) = 0.46

a) Find P( A | B )
b) Find P( B | A)
type your answer...
c) Are these events independent or dependent?

Answers

A) 0.46/0.93
B) 0.46/0.75
C) These events are dependent

you guys are my 911 HELP ILL GIVE POINTS: find the area of the shape shown below ​

Answers

It’s 28 my g.
That little missing piece at the end has an area of 4. The square has an area of 16, and the other part is basically also the square, missing a piece that equals 4. The question would be 16 x 2 -4= 28 .

Pls Mark Brainliest
Comment if you want me to explain the actual math in detail

for brainiest:):):):):):):):):):)

Answers

Answer:

whaddaheck

Step-by-step explanation:

Answer:

they are all 90 degree angles

Step-by-step explanation:

How to calculate a common fraction​

Answers

To find a common denominator, multiply each part of a fraction by the denominator of the other fraction. For example, to find a common denominator for 1/3 + 2/5, multiply the 1 and 3 by 5 and multiply the 2 and 5 by 3. You should get 5/15 + 6/15. Then you can calculate the fractions.

I'm not sure if this is what you meant but here

There are 12 navy bikes and 4 brown bikes in your dad's bikeshop.
If you close your eyes and take one bike out of your dad's bikeshop,
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Only got a few minutes help

Answers

12/16
or simplify it 6/8 = 3/4

Riley is starting her own laundry business. Riley thinks she will do a better job than her competitors, so she thinks she can charge $16.80 per hour. If she knows she will only be able to work 40 hours per week, how much money will she earn each week?

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Answer:

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Graph the piecewise function given below. i need help please someone help me

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Answer:

hope this help you.look it once.

15 cm
30°
B
OAB is a sector of a circle, centre O.
The radius of the circle is 15 cm.
The angle of the sector is 30°.
Calculate the area of sector OAB.
Leave your answer in its simplest form.

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Step-by-step explanation:

change the angle to radian

then use formula 1/2 × π × radius square

Find the sum of the Infinite Series Below. 20 pts.
[tex]{36-24+16- 32/3 +...}[/tex]

Answers

Answer: 637

Step-by-step explanation:

Follow the

Symbols like a divide

Answer: 637
…………………..

PLEASE HELP ASAPPP ITS URGENT

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Answer:

Step-by-step explanation:

2^-70/4^14

1/(2^70*4^14)

answer is b

9514 1404 393

Answer:

  B  1/(2^70·4^14)

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)^c = a^(bc)

  a^-b = 1/a^b

__

  [tex]\left(\dfrac{2^{-10}}{4^2}\right)^7=\dfrac{2^{-10\cdot7}}{4^{2\cdot7}}=\dfrac{2^{-70}}{4^{14}}=\boxed{\dfrac{1}{2^{70}\cdot4^{14}}}[/tex]

PLS HELP, AM BEING TIMED, WILL give brainliest and it's a test​

Answers

C is your answer i hope u got it right

anyone know the answer to this?????

Answers

Answer:

15

Step-by-step explanation:

because you add them all up on god

Answer:

im not good at math

Step-by-step explanation:

Za and Zb are complementary angles. Za measures 55°.
What is the measure of Zb?

Answers

Answer:

15

Step-by-step explanation:

hope this helps!

2. Find x to the nearest tenth 10a. 5.8
b. 5.9
c. 8.1
d. 7.3

Answers

Answer:

the answer is

c. 8.1.

Step-by-step explanation:

you can add 36 and 10 and then divide it by 180 i think idrk

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Answer:

19

Step-by-step explanation:

Sorry if wrong :> Hope i helped! Have a awesome day!!! You're a great hooman ^_^ Please mark brainliest !!

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Answer:

382.5 Inches

Step-by-step explanation:

Hope this helped

Answer:

382.5

Step-by-step explanation:

1 1/5 × 5,+ 5× 3

hope you got that lol

For each triangle, check all that apply.

Answers

Answer:

A: Isosceles B: Scalene C: Isosceles, Equilateral D: Scalene

Step-by-step explanation:

A: 2 angles are equal so the sides are (Isosceles)

B: None of the sides are equal (Scalene)

C: All the sides are equal (Isosceles & Equilateral)

D: None of the angles are equal, so none of the sides are (Scalene)

If you can answer this, please help !

Answers

Answer:

the total of angle's in traingle is 180

so 85+53+c=180

c=180-138

c=42

Step-by-step explanation:

180° = m∠A + m∠B + m∠C

180° = 85° + 53° + m∠C

180° = 138° + m∠C

m∠C = 180° - 138°

= 42°

#CMIIW

The area of a square is 500" in. What is the perimeter of the square.

Answers

Answer:

500

Step-by-step explanation:

Find f(x) = 4*, when x = 1/2

Answers

Answer:

f=8

Step-by-step explanation:

fx0.5=4

f=4x2

f=8

Philll weights 120 lb Kim weighs 75% as phill eathan weigh 90% as much as Kim. And Amy weighs 2/3 as much as earthen what is the average weight of them?

Answers

Answer:

Step-by-step explanation:

According to a medical study, 15% of people will experience an adverse side effect
within one hour after taking a particular experimented drug. Suppose you survey 12
people who participated in the study. What is the probability at most 2 people will
have adverse side effect?
A)O 0.594
B)0.646
C)0.736
D)0.264

Answers

Answer:

c

Step-by-step explanation: trust me

The probability that the people that would have adverse effect are at most 2 is 0.736

What is probability?

This is the theory that is used in statistics to explain the chances of an event occuring.

To solve for the probability of at most 2, we solve for 1-  P(1) + P(2)

= 1/12 + 2/12

= 1 - 0.083+0.167

= 0.73

Therefore the probability that the most people with adverse effect is 2 is 0.736. Option c is correct.

Read more on probability here: https://brainly.com/question/24756209

-3.5x + 8.5x - 4 =26

Answers

Answer:

x = 6

Step-by-step explanation:

-3.5x + 8.5x - 4 = 26

-3.5 + 8.5x = 26 + 4

5.0x = 30

x = 30/5

x = 6

Answer:

x=6

Step-by-step explanation:

First, add -3.5x and 8.5x to combine like terms, which would then look like 5x-4=26.

Next, add 4 to both sides of the equation, which would then be 5x=30.

Finally, divide both sides of the equation by 5 and then simplify.

The final answer would be x=6.

Plz answer this question
mhanifa

Answers

Answer:

Option B

Step-by-step explanation:

Given function:

H(s) = 0.003s² + 0.07s - 0.027

Average rate of change in the interval s = 80 and s = 100:

[H(100) - H(80)] / (100 - 80) = [0.003(100²) + 0.07(100) - 0.027 - 0.003(80²) - 0.07(80) + 0.027] / 20 = 12.2 / 20 = 0.61

Correct choice is B. 0.61

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