Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options. The radius of the circle is 3 units. The center of the circle lies on the x-axis. The center of the circle lies on the y-axis. The standard form of the equation is (x – 1)² + y² = 3. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

The required distance between given pair of points ( 2, 0 ) and ( -2,0 ) is equal to 4 units.

As given in the question,

Given pair of points in the coordinate plane is represented by the coordinates

( x₁ , y₁ ) = ( 2, 0 )

( x₂ , y₂ ) = ( -2,0 )

Apply the standard formula to calculate the distance between two pair of points in the coordinate plane is :

= √(x₂ - x₁ )² + ( y₂ - y₁ )²  

Substitute the values in the formula and calculate the distance between two pair of points :

= √ ( -2 - 2 )² + ( 0 - 0 )²

= √(-4)² + 0²

= √16

= 4

Therefore, the required distance between the given pair of points ( 2, 0 ) and ( -2,0 ) is equal to 4 units.

The above question is incomplete , the complete question is:

What is the distance between the pair of points (2, 0) and (-2, 0) ?

Learn more about distance here

brainly.com/question/15172156

#SPJ4

Answer: The answer is 2

Step-by-step explanation:

The area of given figure is 32 ft².

The size of a patch on a surface is determined by its area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.

Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a shape on paper is the area that it occupies.

Given,

the shaded are of shape is 16 ft²

As, twice the area of triangle equals the area of rectangle

⇒ (16 + 16) ft²

⇒ 32 ft²

To learn more about area from given link

https://brainly.com/question/25292087

#SPJ1

Complete Question -

Answer:160%

Step-by-step explanation:

100%...........50                     80:0.5=160

1%..............0.5                       50:100=0.5

?.............80

160%...............80

Rate does Lynn's cost increase for every additional mile she drives will be $0.25

The following is the linear relationship between the two variables:

Eq. 1: C f(d) = m*d + k

where m and k are evaluation-needed constants

Find m: We'll determine the angle of the line connecting the points (480, $380) and (800, $460).

Line slope (m) equals $0.25 per mile

Consider one of the two positions and enter (480,$380) in Eq 1 to find k.

k = 380 - 0.25(480) = $260

The line's equation is C f(d) = 0.25*d + 260.

This equation may be used to plot the graph for section a.

The rate of cost per mile is determined by the graph's slope when the units are scrutinized; as a result, $0.25

Know more about linear relationship

https://brainly.com/question/24378940

#SPJ4

a. On the 13th day the company sold the same number of each player.

b. 2,451 players were sold on that day.

a. The day on which the company sold the same number of players can be calculated by equating the values of y that we have ;

y = 191x-32 and y = -x² + 200x + 20

Equating both, we have;

191x-32 = -x² + 200x + 20

⇒x² -200x + 191x-20-32 = 0

⇒x²-9x-52 = 0

⇒x²-13x + 4x -52 = 0

⇒x(x-13)+4(x-13) = 0

⇒(x-13)(x+4) = 0

⇒x = 13 or -4

as days cannot be negative, so we choose only x = 13

This means that the company sold equal numbers of players on the 13th day.

b. To get the number of players sold on that day, we select any of the y equations and substitute x = 13

Thus, y = 191x -32; 191(13) - 32 = 2,451 players

Read more about equations:

https://brainly.com/question/25678139

#SPJ4

The complete question is:

The equation below models the numbers of two portable music players (y) and days after both players were introduced (x).

Music player A: y=191x-32 and music player B: y=-x^2+200x+20

1. on what day(s) did the company sell the same number of each player?

2. how many players were sold on THAT day (use your answer from #1

Answer:

Linear equations

Step-by-step explanation:

hope this helps

So, 40% of students don't like swimming.

We know that 60% of students like swimming, and 40% of students like dancing. We also know that 20% of students that like swimming also like dancing.

First, we can find the number of students that like swimming and dancing by multiplying the percentage of students that like swimming by the percentage of students that like dancing and also like swimming:

20% * 60% = 12%

This means that 12% of students like both swimming and dancing.

To find the percentage of students who don't like swimming, we can subtract the percentage of students who like swimming from 100%.

100-60 = 40%

So, 40% of students don't like swimming.

It's important to note that if the problem had provided a total number of students this information would have been useful to calculate the exact number of students who don't like swimming.

To learn more about Percentages

Visit; brainly.com/question/28998211

#SPJ4

Answer:

slope = -4/5x

y - int = 7/5

Step-by-step explanation:

4x + 5y = 7

-4x on each side

5y = -4x + 7

divide by 5 on each side

y = -4/5 x + 7/5

$1200 was invested at a mutual fund of 6% profit while $2000 was invested at a mutual fund of 4% profit

An equation is an expression showing the relationship between numbers and variables.

Let x represented the money at 6% profit and y represent the money at 4% interest. A total of $3200 was invested, hence:

x + y = 3200    (1)

If the investor's total profit was $152, therefore:

0.06x + 0.04y = 152         (2)

From both equations:

x = 1200, y = 2000

$1200 was invested at 6% while $2000 was invested at 4%

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Answer: Linda, Laura, Loraine, and Lila run 2 kilometers altogether.

Step-by-step explanation:

0.5 + 0.5 + 0.5 + 0.5 = 2 km

I hope this helps!

To calculate equivalent form of an algebraic expression we can use the following :

1) distributing property

2) factoring.

Two mathematical expressions are said to be equivalent if they yield the same result upon solving them. To represent equivalent form an equality (=) sign is used. 3(x + 2) and 3x + 6 are equivalent expressions because the value of both the expressions remains the same for any value of x. To calculate equivalent form by using Distributive Property :

To calculate equivalent form Using Factoring :

This gives you an equivalent form . Again, the equality form, 5xy + 4x = x(5y + 4). Thus, the required equivalent form is determined.

To learn more about equivalent form, refer:

https://brainly.com/question/28399257

#SPJ4

A 30-60-90 triangle is a special type of right triangle that has angles of 30 degrees, 60 degrees, and 90 degrees. It has the following properties:

The side opposite the 30-degree angle is half the length of the hypotenuse (the side opposite the 90-degree angle).

The side opposite the 60-degree angle is √3 times the length of the side opposite the 30-degree angle.

To find the sides of a 30-60-90 triangle, you can use these properties.

If you know the length of the hypotenuse (the side opposite the 90-degree angle), you can find the length of the other two sides using the following formulas:

The side opposite the 30-degree angle: hypotenuse / 2

The side opposite the 60-degree angle: (√3) * (hypotenuse / 2)

If you know the length of one of the other two sides, you can use the above formulas to find the length of the hypotenuse and the other side.

For example, if you know the length of the side opposite the 30-degree angle, you can find the length of the hypotenuse by multiplying it by 2 and the length of the side opposite the 60-degree angle by multiplying it by √3

In summary:

The hypotenuse is always twice the length of the shorter leg.

The longer leg is √3 times the length of the shorter leg.

The hypotenuse is always the longest side in a 30-60-90 triangle.

Answer:

x = 73⁰

Step-by-step explanation:

all values show are measures of exterior angles

the sum of all exterior angles for any polgon is 360 degrees

to find 'x':

50 + 48 + 59 + x + x + 58 + 39 = 360

combine like terms:

2x + 214 = 360

2x = 146

x = 73

Answer:7032

Step-by-step explanation:

The population of the town in 2016 will be 7032

Percentage decrease is the difference between starting and ending values. It shows a loss of value from the original expressed as a percentage regardless of units. The amount of decrease is the original amount minus the final amount.

Given that, A small town had a population of 12,000 people in 2001. The population has been decreasing at a rate of 3.5% each year.

We know that, Decrease rate =

A = P(1-r)ⁿ

A = final amount

P = initial amount

r = rate

n = years or time

Therefore,

A = 12000(1-0.035)¹⁵

A = 12000(0.965)¹⁵

A = 7032.19

A ≈ 7032

Hence, the population of the town in 2016 will be 7032

Learn more about percent of decrease, click;

https://brainly.com/question/2913116

#SPJ1

The linear equation parallel to the line y=2x+2 is:

y = 2x + 5

A general linear equation is:

y = a*x + b

Where a is the slope and b is the y-intercept.

Two lines are parallel if the lines have the same slope, then for example for:

y = 2x + 2

A parallel line will be:

y = 2x + b

And the line must pas through (-1, 3), then:

3 = 2*-1 + b

3 = -2 + b

3 + 2= b

5 = b

Then the linear equation is:

y = 2x + 5

Learn more about linear equations at:

https://brainly.com/question/1884491

#SPJ1

The intensity of the earthquake on the Richter scale of magnitude 5.3 can be calculated for moderate earthquakes, and a strong earthquake can be estimated at magnitude 6.3.

The idea of a logarithmic earthquake magnitude scale was first developed by Charles Richter in the 1930s to measure the magnitude of earthquakes occurring in Southern California using relatively high frequency data from a nearby seismometer station. Developed. The magnitude of an earthquake is expressed on a scale called the Richter scale. The Richter scale is a base 10 logarithmic scale, meaning that each magnitude is ten times stronger than the last. So 2 is 10 times stronger than 1 and 3 is 100 times stronger. On the Richter scale, the increment is the amplitude of the wave. In the Richter scale, magnitude is represented by whole numbers and decimals. More destructive earthquakes are usually between magnitude 5.5 and 8.9. A truly destructive earthquake is an earthquake that exceeds magnitude 7 on the Richter scale.

To learn more about Richter Scale, refer:

https://brainly.com/question/18765411

#SPJ4

Answer:

true

because 22+8=30,

and 30 is greater than 16.

Solving the 2 equations will give us the value of x to be -14 and that of y to be 33.

Here we have two equations

2x + y = 5 and 3x - 2y = 4

Now we will use the substitution method to solve the equations

The first equation is

2x + y = 5

or, y = 5 - 2x                                                         [1]

Let 3x - 2y = 4 be equation 2

Substituting the value obtained in equation [1] in [2] we get

3x - 2(5 - 2x) = 4

or, 3x - 10 + 4x = 4

or, x = -14                                                               [3]

Substituting the value of x obtained in equation [3] to equation [1] we get

y = 5 - 2(-14)

or, y = 5 + 28

or, y = 33

Hence, x = -14 and y = 33

To learn more about Simultaneous Equations visit

https://brainly.com/question/30127282

#SPJ4

Complete Question

What is the solution of the equations 2x + y = 5 and 3x - 2y = 4?

Answer:

Click or copy the link and that is the answer

https://www.leonschools.net/cms/lib/FL01903265/Centricity/Domain/3141/ch%205%20review%20answers.pdf

Step-by-step explanation:

hope it helps :)

mark me as brainliest!

if not try this (copy or paste)

mehttps://www.leonschools.net/cms/lib/FL01903265/Centricity/Domain/3141/ch%205%20review%20answers.pdf

Answer:MP, NP, MN

Step-by-step explanation:

The proportion when to make 4 cups of rice, Iain needs 5 cups of water and make 16 cups of rice, he needs 20 cups of water is 4/5 = 16/20.

Proportion in Mathematics simply demonstrates how many times one number can be able to fit into another number. It should be noted that ratios contrast two numbers by dividing them. In this case, A/B will be the formula if one is comparing one variable (A) to another variable (B).

In this case, to make 4 cups of rice, Iain needs 5 cups of water and make 16 cups of rice, he needs 20 cups of water. The proportion will be:

4/5 = 16/20

Learn more about proportion on:

brainly.com/question/19994681

#SPJ1

You can find the inverse of any function y=f(x) by reflecting it across the line y=x.

Hence, Option A is correct.

To know more about inverse of function here

https://brainly.com/question/3831584

#SPJ1

The total distance traveled is 46 miles.

Distance Traveled:

Distance traveled is the path covered by a body to get from a starting point to an endpoint in a certain period of time, at a certain velocity. Time and velocity play a major role in measuring the distance traveled. The distance travel formula is: d = v x t

To determine the total distance you have traveled, you will need to add up all the distances you have driven in each direction.

You drove 10 miles north, 14 miles east, 16 miles north, and 2 miles east, 4 miles north.

10 miles north + 14 miles east + 16 miles north + 2 miles east + 4 miles north = 46 miles

So, you have traveled 46 miles.

To learn more about distance traveled, refer to the link:brainly.com/question/29055485

#SPJ4

In mathematical notation, you can use the following format to write "9 more than a number":

total + 9

This indicates that you are adding 9 to the original number.

For instance, you can write "9 more than 5" as 5 + 9 = 14 if the integer is 5.

Another option is to use the format: 9 + number.

The outcome is the same as this.

If a variable, such as x, is used to denote the number, you can express "9 more than x" as x + 9 or 9 + x.

This way, you can use the same expression for any number.

  In general, when you want to find out a value which is 'x' more than a number 'a', you can use the following mathematical notation:

a + x

This is read as "a plus x".

So ,this  indicates that you are adding 9 to the original number.

  Therefore, the adding 9 to original number is the answer of this question.

 To know more about equations at :

brainly.com/question/27849342

#SPJ4

After solving, the solution of the pair of equation is (-1, 0).

In the given question, we have to find the solution of the system of equations y = 4x + 4 and y = -3x - 3.

The given equations are:

y = 4x + 4.....................(1)

y = -3x - 3.....................(2)

Now putting the value of y from equation 1 to the equation 2

4x + 4 = -3x - 3

Subtract 4 on both side, we get

4x = -3x - 7

Add 3x on both side, we get

7x = -7

Divide by 7 on both side, we get

x = -1

Now putting the value of x in equation 1

y = 4(-1) + 4

y = -4 + 4

y = 0

Hence, the solution of the pair of equation is (-1, 0).

To learn more about solution of equation link is here

brainly.com/question/28741857

#SPJ4

The complete question is:

What is the solution of the system of equations y = 4x + 4 and y = -3x - 3?

Jacob's speed in kilometers per hour is equal to 8/5 kilometers per hour.

In Science, speed can be defined as the distance covered by a physical object or body per unit of time. This ultimately implies that, speed is a scalar quantity because it has magnitude but no direction.

Mathematically, the speed of a physical object or body can be calculated by using this formula;

Speed = distance/time

Substituting the given points into the speed formula, we have the following;

Speed = 2/5/(1/4)

Speed = 2/5 × 4/1

Speed = 8/5 kilometers per hour.

Read more on speed here: brainly.com/question/8163450

#SPJ1

Domain of any function is all the input value of the function for which condition of the function exist.

Therefore, the domain of the function is its input value for which there exist a successful output value.

Learn more about domain here

brainly.com/question/28135761

#SPJ4

Answer:

i can not see the question

Step-by-step explanation:

please upload a New photo

The percent decrease in price for booking early for a spring break vacation package is 16.5%.

This was calculated by taking the amount of money saved ($35) and dividing it by the original price of the package ($209.99). Then, the resulting decimal was multiplied by 100 to convert it into a percentage.

Mathematically, the calculation looks like this:

(35/209.99) ×100 = 16.5%.

The 16.5% decrease in price is a substantial savings and could be used to purchase additional items or activities during the vacation. Booking early is often a great way to save money on vacation packages, since travel agents and companies often lower the prices to incentivize travelers to book in advance.

It is important to remember, however, that the savings may not always be 16.5%. Depending on the travel agent or company, the percentage of savings may vary. Additionally, some packages may not offer any savings at all. Therefore, it is important to do research and compare different packages before booking.

Learn more about percentage:

https://brainly.com/question/24877689

#SPJ4

Answer:194.78 cm

Step-by-step explanation: