Find the center and the radius of each circle. x²+(y-4)²=11

Answers

Answer 1

The equation of the circle x^2 + (y - 4)^2 = 11 has a radius of √11 and a center located at (0 , 4).

The standard form of the equation of  circle is given by

(x - h)^2 + (y - k)^2 = r^2

where (h , k) is the location of the center and r is the radius of the circle.

On the other hand, the general form of the equation of  circle is given by

x^2 + y^2 + Dx + Ey + F = 0

where D = -2h, E = -2k, and F = h^2 + k^2 -r^2.

If the equation of the circle, x^2 + (y - 4)^2 = 11, is in standard form, then

h = 0

k = 4

r = √11

Hence, the equation of the circle x^2 + (y - 4)^2 = 11 has a radius of √11 and a center located at (0 , 4).

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Related Questions

dos someone mind helping me with this? Thank you!

Answers

Answer:

50.24

Step-by-step explanation:

d equals 2r r=4 four squared equals 16 16 * π = 50.24

The weight of a gold bar varies directly with its volume. If a 40 cm³ bar weighs 772 grams, how much will a 100 cm³ bar weigh?

Answers

Density is a material's intrinsic (intrinsic) property that depends on how much it occupies a particular space and possibly on temperature.

Density is expressed in units of mass divided by volume. The International Standard Unit (SI) is the kilogram per cubic meter ("cube") or kg/m3. Some commonly used density units are grams per cubic centimeter, or we can also express it as g/cm3; it is more widely used in laboratories.

Mass and volume are related by a term called density.

The formula gives the relation between the mass and the density of an object:

Density = Mass/ Volume

We can extract the desired quantity from this formula, and here it is mass, so,

Mass = Density x Volume

So, by using the above information, 100 cm^3 bar weighs 1930gm.

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Jeff and Cameron are arguing about which one of them is faster. Jeff says "I can run
7
77 kilometers per hour!" and Cameron says "I can run
100
100100 meters per minute!"
Which one is faster?

Answers

The person who is faster is Jeff.

How to illustrate the information?

Jeff says "I can run 7 kilometers per hour!.

On the organs hand, it can be seen that Cameron says "I can run 100 meters per minute!"

It should be noted that that 1000km = 1 meter and that kilometers is higher than meter.

Therefore, the person who is faster is Jeff.

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What is the value of p?
p-43
p
p+45°
Exterior angle theorem

Answers

Answer: p=178/3 degrees

Step-by-step explanation:

Based on the problem, I THINK these three angles add up to 180 degrees

(p-43)+(p)+(p+45)=180

p-43+p+p+45=180

p+p+p-43+45=180

3p+2=180

3p=178

p=178/3 degrees


Solve each system by elimination or substitution.
2x + 4y = -8 , -5x + 4y = 6

Answers

The solution of the given system of equations is (-2, -1)

A system of equation can be solved using:

graphical methodsubstitution methodelimination method

The given system of equations:

2x + 4y = -8  ............   (1)

-5x + 4y = 6  .............. (2)

Since the coefficients of y is the same in both equations, variable y will be immediately cancelled out if we use elimination method.

Substract equation (2) from equation (1)

2x + 4y = -8

-5x + 4y = 6 –

7x         = -14

  x         = -2

Substitute x = -2 into equation (1):

2x + 4y = -8

2. (-2) + 4y = -8

-4 + 4y = -8

Add 4 to both sides

-4 + 4y + 4 = -8 + 4

4y = -4

 y = -1

Hence, the solution is (-2, -1)

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help me ............................,...........................................................

Answers

The values to the nearest tenth are:

a. 1. 43

b. 26. 41

c. 11. 69

d. 4. 57

e. 15. 77

How to determine the values

Given the equations;

a. 4. 186 - 2. 758

Find the difference

1. 428

1. 43

b. 72. 05 - 45. 64

Find the difference

26. 41

c. 82. 156 - 41. 31 - 29. 16

Find the difference

11. 686

11. 69

d. 17. 054 - 11. 65 - 0. 83

Find the difference

4. 574

4. 57

e. 29. 16 - 12. 48 - 0. 91

Find the difference

15. 77

Thus, the values to the nearest tenth are 1. 43, 26. 41 , 11. 69, 4. 57, 15. 77

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A human hair has an average diameter of 2.5 * 10 ^ - 5 meters. What is the maximum number of human hairs that could fit side by side (without overlapping) on a microscope slide that is 50 millimeters wide? Write your answer in scientific notation.
(A) 2 × 10 ^ 3

(B) 2 × 10 ^ 5

(D) 10 ^ - 3

(C) 2 × 10 ^ 6​

Answers

Answer:    Choice (A)   2 × 10^3

===========================================

Explanation:

Let's find the width of the microscope slide in meters.

1000 mm = 1 m

1 mm = 1/1000 m

1 mm = 0.001 m

50*(1 mm) = 50*(0.001 m)

50 mm = 0.05 m

50 mm = 5 × 10^(-2) m

The microscope slide is 5 × 10^(-2) meters across. Divide this over the width of one hair.

5 × 10^(-2) ÷ 2.5 × 10^(-5)

(5/2.5) × 10^(-2 - (-5) )

2 × 10^(-2 + 5)

2 × 10^3

This converts to the number 2000. So we could have 2000 strands of hair side by side.

Answer:

(A)  2 * 10^3.

Step-by-step explanation:

50 millimeters = 0.05 m

= 5 * 10^-2 meters.

So, we divide this by the diameter of 1 hair:

= (5 * 10^-2) /  (2.5 * 10 ^ - 5)

= (5/2.5) * (10/^-2 / 10^-5)

= 2 * 10^(-2-(-5))

= 2 * 10^3.


Simplify each complex fraction. 1/x y - 1/y² / 1/x²y - 1/x y²

Answers

The simplified form of given complex fraction is (1/xy - 1/y²) / (1/x²y - 1/xy²) =  x

In this question,

we have been given a fraction 1/x y - 1/y² / 1/x²y - 1/x y²

We need to simplify given complex fraction.

First we simplify numerator.

1/x y - 1/y²

= y² - xy / xy³

= y(y - x) / xy³

= y - x / xy²

Now we simplify denominator.

1/x²y - 1/x y²

= xy² - x²y / x³y³

= xy(y - x) / x³y³

= y - x / x²y²

So given fraction would be,

1/x y - 1/y² / 1/x²y - 1/x y²

= y - x / xy² / y - x / x²y²

= (y - x / xy²) × (x²y² / y - x )

= x²y² / xy²

= x

Therefore, the simplified form of given complex fraction is 1/x y - 1/y² / 1/x²y - 1/x y² = x

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CAN YOU PLEASE ANSWER EACH QUESTION JUST PUT THE ANSWER DOWN THATS ALL NO EXPLAINING JUST ANSWERS IM STRUGGLING

Answers

Answer:

Q.17  9 2/5

Q.18 5

Q.19  13

Step-by-step explanation:

Factor this quadratic completely. (Write step by step please)

Answers

[tex]Factor\ by\ grouping:\\\\2x^2+3x-35\\\\(2x-7)(x+5)\\\\2x-7=0\ and\ x+5=0\\\large\boxed{\therefore x=\frac{2}{7}\ and\ x=-5}[/tex]

Answer:  2x^2+3x-35=(x+5)(2x-7)

Step-by-step explanation:

[tex]2x^2+3x-35=\\2x^2+10x-7x-35=\\(2x)(x+5)-(7)(x+5)=\\(x+5)(2x-7)[/tex]

Write the equation of a line that goes through (8,-3)

Horizontal line-
Vertical line-

I actually need help please explain not just answers. Is it just x=8 and y=-3?

Answers

Answer:

yes!

Step-by-step explanation:

that is the solution above


Write a two-column proof.
Given: V is the midpoint of YW;
UY || XW.

Prove: ΔU V Y≅ ΔX V W

Answers

We reached the conclusion that ΔUVY≅ ΔXVW under SSA condition.

What is meant by the congruency of a triangle?If all three corresponding sides are equal and all three corresponding angles are equal in measure, two triangles are said to be congruent.These triangles can be moved, rotated, flipped, and turned to look exactly the same.They will coincide if they are repositioned.Two triangles are congruent if they satisfy the five congruence conditions.They are the side-side-side (SSS), the side-angle-side (SAS), the angle-side-angle (ASA), the angle-angle-side (AAS), and the right angle-hypotenuse-side (RHS).

So,

Given: V is the midpoint of YW; UY || XW.

To Prove: ΔUVY≅ ΔXVW

YV = VW = (Given)UY = WX = (Given: parallel)∠UVY = ∠XVW (Inversely opposite angles)

So, ΔUVY≅ ΔXVW under SSA contion.

(Refer the table shown below)

Therefore, ΔUVY≅ ΔXVW under SSA contion.

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How many hundreds are in the hundreds place in the number 243?

Answers

Answer:

2 hundreds

Step-by-step explanation:

there is the number 2 in place of the hundreds

There are 2 hundreds in the number 243 because the 2 in 243 is 100 so add both and it’s 2 hundreds.

find x when y is -1. y= -7/8x+17

Answers

Answer:

x is 20.57

Step-by-step explanation:

-1 minus 17 is -18. -18 divided by -7/8 is 20.57

Answer:

Step-by-step explanation:

-7/8x+17=-1

Now we need to find what +17 = -1

-1 - 17 = -18

Now we find out how many times -7/8 go into -18

-18 / (-7/8) = 20.57412857

So x = 20.57412857

As a fraction, that would be 144/7

Hope this helps ^^

help me ...........................................,.........................,.............

Answers

The values to the nearest tenth are:

a. 1. 43

b. 26. 41

c. 11. 69

d. 4. 57

e. 15. 77

How to determine the values

Given the equations;

a. 4. 186 - 2. 758

Find the difference

1. 428

1. 43

b. 72. 05 - 45. 64

Find the difference

26. 41

c. 82. 156 - 41. 31 - 29. 16

Find the difference

11. 686

11. 69

d. 17. 054 - 11. 65 - 0. 83

Find the difference

4. 574

4. 57

e. 29. 16 - 12. 48 - 0. 91

Find the difference

15. 77

Thus, the values to the nearest tenth are 1. 43, 26. 41 , 11. 69, 4. 57, 15. 77

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If the sixth term in a geometric sequence is 1/625
and the common ratio is 1/5 find the explicit formula of the sequence

Answers

aₙ = 5*(1/5)^(n - 1) is the explicit formula of the sequence.

What is Sequence and example ?

A sequence is a list of elements that has been arranged in a certain way. As an illustration, 3, 7, 11, 15,... is a sequence because it follows a pattern in which each phrase is produced by adding 4 to the one before it.

The recursive relation for a geometric sequence is

aₙ = aₙ₋₁*R

where R is the common ratio.

We could write this in a general form as:

aₙ = a₁*(R)^(n - 1)

where a₁ is the first term of the sequence.

In this case we know that:

R = 1/5

And that:

a₆ = 1/625

Then we can replace these values in the above relation to get:

a₆ = (1/625) = a₁*(1/5)^(6 - 1) = a₁*(1/5^5) = a₁*(1/3125)

1/625 = a1*(1/3125)

(3125/625) = a1 = 5

Then the formula will be:

aₙ = 5*(1/5)^(n - 1)

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Water molecules can form hydrogen bonds with each other because they are ____________ molecules.

Answers

Water molecules forming hydrogen bonds with one another. The partial negative charge on the O of one molecule can form a hydrogen bond with the partial positive charge on the hydrogens of other molecules. Water molecules are also attracted to other polar molecules and to ions.

3 more than m as an equation

Answers

Answer:m+3

Step-by-step explanation:hope this helps


Simplify by combining like terms. 5+(4 g-7)

Answers

By combining the like term, the simplified form of the given expression 5+(4g-7) is 4g-2

Given,

The expression = 5+(4g-7)

Expand the terms by opening bracket

5+(4g-7)=5+4g-7

Rearrange the terms

5+4g-7= 4g+5-7

Combine like terms

4g+5-7= 4g-2

Hence, by combining the like term, the simplified form of the given expression 5+(4g-7) is 4g-2

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Stuck, need help please.

In the figure shown, line AB is parallel to line CD.

Part A: What is the measure of angle x? Show your work.

Part B: Explain how you found the measure of angle x by identifying the angle relationships that you used along the transversal.

Answers

The value of the angle x is equal to 53°

What is the Measure of the angle?

A) From the image attached, we can solve for the angles as follows;

m ∠RPB = 180 - 115 = 65°

Thus, the angle m∠x =  180° - 65° - 62°

= 53°

B) m∠RPB + m∠PRD = 180° (Internal angle between 2 parallel lines are equal).

Second line:

The 3 angles x, 62 and 65 degrees  are all on the same straight line (AB), so they sum to 180 degrees.

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Is (4, -2) a solution to -6x + y = -26 ?

Answers

Answer: ask the teacher to break it down for u

Step-by-step explanation:

that simpile

y=6x-26, Although I didn't really get what were you looking for

Help asap please

Maria wanted to bring back 5 million grams of sand from her trip to the beach. Each grain of sand weighs approximately 6.7 x 10^-7 kg. How heavy is the bag of sand that Maria brings home?

a
Multiply 5 x (6.7 x 10^-7) = 33.5 x 10^-7 = 3.35 x 10^-6 kg
b
Divide (5,000,000 / 6.7 x 10^-7) = (5 x 10^6) / (6.7 x 10^-7) = (5 / 6.7) x (10^(6 - 7)) = .74 x 10^-1 = 0.074 kg
c
Multiply (5,000,000 x 6.7 x 10^-7) = (5 x 10^6) x (6.7 x 10^-7) = (5 x 6.7) x (10^(6 + 7)) = 33.5 x 10^13 = 3.35 x 10^14 kg
d
Multiply (5,000,000 x 6.7 x 10^-7) = (5 x 10^6) x (6.7 x 10^-7) = (5 x 6.7) x (10^(6 + - 7)) = 33.5 x 10^-1 = 3.35 kg

Answers

The weight of the bag she brings home is; D: Multiply (5,000,000 x 6.7 x 10^-7) = (5 x 10^6) x (6.7 x 10^-7) = (5 x 6.7) x (10^(6 + - 7)) = 33.5 x 10^-1 = 3.35 kg

How to use scientific notation?

We are told that Maria wanted to bring back 5 million kg of sand from her trip to the beach. Thus;

Amount of sand she wanted to bring out = 5,000,000 kg = 5 * 10⁶ kg

Now, we are told that each grain of sand weighs 6.7 * 10⁻⁷ kg. Thus, the total amount of sand she brings home is;

(5 * 10⁶) * (6.7 * 10⁻⁷) = (5 * 6.7) * (10⁶ ⁻ ⁷) = 33.5 * 10⁻¹ = 3.35 kg

Thus, the correct answer is; Multiply (5,000,000 x 6.7 x 10^-7) = (5 x 10^6) x (6.7 x 10^-7) = (5 x 6.7) x (10^(6 + - 7)) = 33.5 x 10^-1 = 3.35 kg

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The data below is going to be plotted on a
line graph. Part of the grid is shown.
a) How many squares wide does the grid
need to be so that the data fits on the graph?
b) If the grid is 20 squares tall, then what
number should replace A to give the vertical
axis the best scale for plotting the data?
Time since start Distance from start
(minutes)
(km)
0
0
5
0.5
10
1.2
15
1.5
20
1.4
25
1.7
30
1.1
35
0.8
Distance from start (km)
A
0 5 10 15
Time since start (minutes)

Answers

(a )7  squares wide grid

(b) If the grid is 20 squares tall, then

number should replace A to give the vertical

axis the best scale for plotting the data . A = 0.1

According to the data,

(a) x = 35  one square represents five       {calculate the width

    there need 7 compartment in x axis.                 proportionally}

    so the answer is 7 square wide

(b) The largest value of distance from store is 1.9 km

     the grid is 20 square tall  {when A = 0.1, 20× 0.1 = 2 km > 1.9 km}

     so A = 0.1

The grid method is a written method, which is used when multiplying numbers. It involves partitioning numbers into tens and units before they are multiplied. The grid method for multiplication is also known as the box method, because it involves adding numbers into boxes.

What is the Grid Method of multiplication?

The grid method is a written method, which is used when multiplying numbers. It involves partitioning numbers into tens and units before they are multiplied. The grid method for multiplication is also known as the box method, because it involves adding numbers into boxes.

Before you start teaching them to use the grid method for these slightly more advanced multiplications, you should first check that they:

- have a solid understanding of times tables;

- can multiply any number by 10;

- can multiply one-digit numbers by multiples of 10 (for example, 6 x            

   20, 8 x 70 and so on);

- can multiply two multiples of 10, (for instance, 40 x 90);

- can reliably add four numbers, some of which are three-digit.

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(a )7  squares wide grid

(b) If the grid is 20 squares tall, then

number should replace A to give the vertical

axis the best scale for plotting the data . A = 0.1

According to the data,

(a) x = 35 five squares are represented by one; determine the width.

In the X axis, 7 compartments are required. proportionally}

the response is 7 square broad.

(b) 1.9 km represents the furthest distance from the store.

When A = 0.1, the grid has 20 squares, so 0.1 = 2 km is greater than 1.9 km.

so A = 0.1

When multiplying numbers, a textual method called the grid method is employed. Prior to multiplication, it entails dividing integers into tens and units. The box method, which involves adding numbers to boxes, is another name for the grid method of multiplication.

What is the multiplication grid method?

When multiplying numbers, a textual method called the grid method is employed. Prior to multiplication, it entails dividing integers into tens and units. The box method, which involves adding numbers to boxes, is another name for the grid method of multiplication.

Prior to instructing students to perform these marginally more difficult multiplications using the grid method, you need make sure the following:

- possess a firm grasp of the times tables;

- is capable of ten times any number;

- has the ability to multiply one-digit values by multiples of 10 (for instance, 6 x).

8, 20, and so forth);

- is capable of multiplying two multiples of 10, such as 40 x 90;

— able to add four numbers, some of which are three digits, with reliability.

The measures of two vertical angles are 32° and (2x + 2)°. Find the value of x

Answers

Answer:

x = 15

Step-by-step explanation:

Vertical angles, also called opposite angles sometimes, are angles that across from each other.

They are congruent meaning they have equal measurement

We can write the following equation based on these information to find the value of x :

2x + 2 = 32 subtract 2 from both sides

2x = 32 divide both sides by 2

x = 15

Look at the picture and help me find how many planes there are.

Answers

Answer:

I think B- 8

James makes 9x +6 per hour and Jimmy makes 3(2x + 15) per hour. How many hours must James
work to have more money than Jimmy?

Answers

Answer:

13 hours to earn the same amount and 14 hours to earn more

Step-by-step explanation:

6.) The perimeter of a square is 12√5 cm. Find the length of each side and the area of the
square.

Answers

the perimeter Is equal to the length of each side moltiplicated for 4, so the length of each side Is: l=P/4=12√5/4=3√5.

The area of the square Is the square of the length of each side, so: A=12√5x12√5= 144x5 (at the moment i haven't a calculatour to use)

Write a negation for each statement:
1. All squares are rectangles
2. There exists a segment that has no midpoint

Answers

Answer:

1. There exists at least one square that is not a rectangle.

2. Every segment has a midpoint.

Step-by-step explanation:

1.The given statement is: "All squares are rectangles". We have to find the negation of the statement. The statement that gives the negative meaning of the given statement is called the negation of the given statement. So the negation of the given statement is, "There exists at least one square that is not a rectangle".

2.Every segment has a midpoint.

Answer for 1.
All rectangles are squares.
❌ false

Answer for 2.
All segments have one midpoint.
✅ true

Reason - if a statement is true, then its negation is false and if a statement is false, then its negation is true. So the first statement is true so we have a false reply. The second one was false so we gave a true statement.

what is the outside area of a 3D object​

Answers

The answer for 2.4 is E

Jalissa's mom purchased coffee from the local coffee shop. The first cup of coffee was $4.25. Each refill is $2.25. She also decided to get a bagel for $3.15. If Jalissa's mom had 2 refills and a $0.50 discount as part of the rewards program, how much did she spend at the coffee shop?

Answers

4.25 + 2(2.25) + 3.15 - 0.50 = $11.40
Answer: $11.40
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