A circle has the equation (x−4)2+(y−1)2=34.
What are the coordinates of the center and the length of the radius?

The center is at (4,1), and the radius is 34−−√ units.

The center is at (4,1), and the radius is 34 units.

The center is at (1,4), and the radius is 34 units.

The center is at (1,4), and the radius is 34−−√ units.

Answers

Answer 1

Answer:

A

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(x - 4)² + (y - 1)² = 34 ← is in standard form

with centre = (4, 1 ) and r² = 34 ⇒ r = [tex]\sqrt{34}[/tex] → A

Answer 2

Final answer:

The equation represents a circle with the center at (4,1) and a radius of 5.83 units.

Explanation:

The center of the circle is at (4,1) and the radius is 5.83 units.

To find the center of the circle, you simply take the opposite of the numbers inside the parentheses of (x - 4) and (y - 1), giving you the center (4, 1). The radius is the square root of the number on the right side of the equation, which is √34 = 5.83 units.


Related Questions

A flashlight battery manufacturer makes a model of battery whose mean shelf life is three years and four months, with a standard deviation of three months. The distribution is approximately normal. One production run of batteries in the factory was 25,000 batteries. How many of those batteries can be expected to last between three years and one month and three years and seven months?

Answers

Answer:

17000 batteries

Step-by-step explanation:

Three years and one month is equivalent to the mean minus one standard deviation.

Three years and seven months is equivalent to the mean plus one standard deviation.

For a normal distribution, we know that 68% of population is between mean ± 1 sd, then can be expected that 25000*68% = 17000 of batteries last between three years and one month and three years and seven months

18/x=-2
what number does x represent

Answers

Answer:

9

Step-by-step explanation:

18/x = 2

or, 18 = 2x

or, 18/2 = x

or, 9 = x

ans ; x = 9

Number eight, graph each question

Answers

Answer:

(1,3)

Step-by-step explanation:

x would be counted as (1,1) therefore, moving 1 number to the right, and 1 number up.

Find the probability of choosing 3 blue marbles in a row if the marbles are replaced

Answers

It depends on what they’re replaced with

Answer:

3/6

Step-by-step explanation:

you keep replacing them

COMPLETE
log798= ? ________________________

Answers

Answer:

2.90200289135

Step-by-step explanation:

i used a calculator and it gave me 2.90200289135 round it if you need.

The low temperature in Chicago was -3 °F. The low temperature in Milwaukee was -11 °F. Which statement is true?

-3 is greater than -11, so it was colder in Milwaukee.
-11 is greater than -3, so it was colder in Milwaukee.
-3 is greater than -11, so it was colder in Chicago.
-11 is greater than -3, so it was colder in Chicago.

Answers

Answer:

-11 is greater than -3, so it was colder in Milwaukee.

Step-by-step explanation:

-11 is greater than -3, so it was colder in Milwaukee. because -11 is less than -3 because it is more to the left which makes it less

At a certain time of day, the angle of elevation of the sun is 40°. To the nearest foot,find the height of a tree whose shadow is 35 feet long.

Answers

Answer: approximately 29 feet

Explanation: You need to find a tree so that the angle of elevation from the end of the shadow to top of the tree is 40 degrees.

The length of the shadow is an adjacent side and is 35.
The height of the tree is the opposite side.  You could use X.

Tan ratio = opposite/adjacent

tan(40) =  x/35
x = 35*tan(40) =29.37

A town with a population of approximately 20,530 people is planning to build a new park. The town government is trying to find out what entertainment options citizens would prefer the park to include and plans to survey people running the trail in the existing park over a period of a month.

Answers

Answer:

Step-by-step explanation:

A number is 9 less than negative 10 what is the number

A number is 7 more than negative 16 what is the number

5 teams will play in a tournament. Each team will play every other team once. How many games will be played

Answers

Answer:

1.-19

2.-9

3. 15

Step-by-step explanation:

-10-9=-19

7-16=-9

5+4+3+2+1=15

On a coordinate plane, parallelogram A B C D is shown. Point A is at (negative 3, negative 1), point B is at (7, 9), point C is at (8, negative 1), and point D is at (negative 2, negative 11). Create a rectangle around the parallelogram. The dimensions of this rectangle are ____(1). Find the area of the four right triangles surrounding the parallelogram. The total area of the triangles is _____(2) square units. Subtract the triangle areas from the area of the rectangle to obtain the area of the parallelogram. The area of parallelogram ABCD is ______(3) square units.

Answers

Answer: HOPE THIS HELPSS!!! please mark me brainliestt

11 by 20

             110

             110

Answer:

just wanted to say hi

Step-by-step explanation:

Plz give 5 star

Write an equivalent
expression for
88 + 16x + 8



Answers

Answer:

16x + 96

Step-by-step explanation:

You can add 88 + 8 for and get the same answer

Answer: 16x+8+88

Step-by-step explanation:

All you need to do is move around the numbers and then you get the answer

How much energy would a 15,000 g block of ice need to absorb in order to
melt? The heat of fusion of ice is 333 J/g. Enter your answer to the nearest
whole number of kJ.

Answers

Answer:

The energy a 15,000 g block of ice will absorb in order to melt is 4995 kJ

Step-by-step explanation:

The question relates to the latent heat of fusion of ice, that is the heat absorbed by the solid ice to convert it to liquid water without changing its temperature.

The formula for the energy required to melt the ice is presented as follows;

Energy required = Mass, m × Latent heat of fusion, [tex]L_f[/tex], of ice

Hence, the mass, m, of the ice = 15,000 g

Latent heat of fusion, [tex]L_f[/tex], of ice = 333 J/g

Therefore;

Energy required = 15,000 g × 333 J/g = 4995000 J

Hence;

The energy a 15,000 g block of ice will absorb in order to melt = 4995000 J

1000 J = 1 kJ

1 J = 1/1000 kJ

Therefore, 4995000 J = (4995000 J)/(1000 J/kJ) = 4995 kJ.

Which gives;

The energy a 15,000 g block of ice will absorb in order to melt = 4995 kJ.

A rectangular board has an area of A square inches. The width of the board
is 12 inches. Which equation represents x, the length of the board in inches?

Answers

Length=x
A=lengthxwidth
A=lengthx12
A/12= length

Answer:

A=12x

Step-by-step explanation:

The equation for a rectangle is A=lw

So if you plug in your variables then you would have A=12x

which function will add the same number each time

Answers

send a pic please lol
Final answer:

A linear function adds the same number each time. It has a constant rate of change which means it adds or subtracts a certain amount at each step. An example of this would be the equation y = 3x + 2.

Explanation:

The function described in the question which will add the same number each time is called a linear function. In mathematics, a linear function is a function that has a constant rate of change. This means that it adds or subtracts the same amount each time. For example, the equation y = 3x + 2 is a linear function. Every time you increase x by 1, y will increase by 3. Similarly, each time you decrease x by 1, y will decrease by 3. This is because the slope of a linear function is constant, indicating a consistent rate of change.

Learn more about Linear Function here:

https://brainly.com/question/31353350

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Solve 2x² -9x-5=0 by factoring. what is the
Solution?

Answers

Answer:

0

Step-by-step explanation:

Please help!! :) Cant solve it on paper currently since its late and just doing it online.

Answers

Answer:

14.4 in

Step-by-step explanation:

Using the formula of the Pythagorean theorem, a² + b² = c², we can find the length of the missing side.

a = 8

b = 12

c = ?

8² + 12² = 208

To get your answer, you must take the square root of 208.

√208 = 14.4222051

Which value is equivalent to 2 x 3 + 4 -
6^2?

A. -26

B. -22

C. -2

D. 10

Answers

D. Always do multiplication first. 2×3 is 6, and 6+4 is 10.

What is the simplified expression for the expression below

Answers

Um what is the expression? I can help if you tell me it. thx

Express in scientific notation. 0.0872

Answers

Answer:

8.72 x 10^-2

Step-by-step explanation:

Point A is at (-2,-7) and point B is at (7,4).
What is the midpoint of line segment AB?

Answers

use the midpoint formula and solve. work pictured below

The coordinates of the midpoint would be (5/2, -3/2) of line segment AB.

What is Midpoint?

A midpoint is defined as in the middle of the line connecting two points a position known as a midpoint. A location in the middle of a line connecting the two points that are equally far from both points is the midpoint.

Let two points A (x₁, y₁) and B (x₂, y₂), the midpoint between A and B is given by,

M(x, y) = (x₁ + x₂)/2, (y₁ + y₂)/2

Coordinates of A are (-2,-7),

Coordinates of B are (7, 4),

M is the midpoint of AB which is given in the question

So the coordinates of M as:

⇒ M(x, y) = (x₁ + x₂)/2, (y₁ + y₂)/2

Substitute the values, and we get

⇒ M = ((-2 + 7)/2, ( -7 + 4)/2)

⇒ M = ((5)/2, ( -3)/2)

⇒ M = (5/2, -3/2)

Therefore, the coordinates of the midpoint would be (5/2, -3/2) of line segment AB.

Learn more about the midpoint here :

brainly.com/question/5127660

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PLEASE HELP BY TODAY!!! NO WORK NEEDED!!!
In Triangle AngleMNP, what is the measure of Angle N?

1) 20 degrees

2) 46 degrees

3) 64 degrees

4) 76 degrees

Answers

The answer is 76 degrees

Answer:

76

Step-by-step explanation:

Every angle times 20 and add it all up

Drew’s dog weighs 24 lb 5 oz. How many ounces does drew’s dog weigh?

Answers

it weighs 389 ounces

Answer:

Step-by-step explanation:

It weighs 389 pounds so the answer would be C.

A sphere has a radius of 3 ft. What is the volume of the sphere? Give the exact value in terms of Pi.

Answers

Answer: 36π

Step-by-step explanation:

equation

V= 4/3(pi)r^3

I think the answer is 36

Help me please
Ihudihqhfiqhq

Answers

Answer:

2

Step-by-step explanation:

The Fundamental theorem of algebra states that a polynomial of degree n has n roots. These can be real or complex.

A quadratic is of degree 2 and has 2 roots.

On Monday, Ken spent half of his money on a new game. The next day he earned $12 mowing lawns. He now has $32. How much money did Ken have before bought the game

Answers

Answer:

the anser is 40.0000001

- Electricity City increases the price of televisions by 25%. If a television now sells for
$425, what was the original price?

Answers

Answer:

340

Step-by-step explanation:

Let x = original price

We increase by 25%

x+x*25% = new price

Change to decimal form

x+.25x = new price

Factor out the x

x(1+.25) = new price

x(1.25) = new price

x(1.25) = 425

Divide each side by 1.25

x = 425/1.25

x =340

The original price is 340

Plz help don’t have enough time

Answers

Answer: The first answer is the right one (1.25 + 0.75g is less than or equal to 20)

Step-by-step explanation:

He can’t spend more than 20 right, so his full cost of the shoes and game has to be less than (or equal to) the amount he has, which is 20.

Answer:

i say A

Step-by-step explanation:

because he has $20 and it has to be either less than or equal to 20 in order to play games

3x-71=2x-50
I need the answer​

Answers

Answer:

x = 21

Step-by-step explanation:

3x - 71 = 2x - 50

3x - 2x = -50 + 71

x = 21

Check:

3(21) - 71 = 2(21) - 50

63 - 71 = 42 - 50

-8 = -8

Can I get brainliest

Answer: [tex]x=21[/tex]

Subtract 2x from both sides

[tex]3x-1-2x=2x-50-2x\\x-71=-50[/tex]

Add 71 to both sides

[tex]x-71+71=-50+71\\x=21[/tex]

-10° i need help pleaseeee

Answers

-10 can be plotted in the far left side

Start with -1,-2,-3,-4,-5,-6,-7,-8,-9 then -10

What is the volume of the rectangular prism? show all work please

Answers

Answer:

V= Ab x h

= l x w x h

= 10.4mm × 5mm × 8mm

= 416 mm³

Answer:

416mm

Step-by-step explanation:

V=Bh

B=10.4*5=52

h=8

52*8=416

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