Write the equation in standard form for a circle that has a diameter with endpoints (8,0) and (-8,0)

Answers

Answer 1

Answer:

x²+y² = 64

Step-by-step explanation:

The standard form of writing the equation of a circle is expressed as;

(x-a)²+(y-b)² = r² where;

(a, b) is the centre of the circle

r is the radius of the circle

Given the diameter of the circle with endpoints (8,0) and (-8, 0)

d = √(x2-x1)²+(y2-y1)²

d = √(-8-8)²+(0-0)²

d = √(-16)²

d = √256

d = 16

radius r = 16/2

r = 8

The centre of the circle will be the midpoint of the coordinates

M = (8-8/2, 0+0/2)

M = (0/2, 0/2)

M = (0,0)

Hence the centre is at (0,0)

Get the required equation

Recall that (x-a)²+(y-b)² = r²

Substitute the centre and the radius

(x-0)²+(y-0)² = 8²

x²+y² = 64

This gives the required equation


Related Questions

Given h(x) = 4x−4, find h(−3)

Answers

Answer:

-16

Step-by-step explanation:

How many three-digit numbers can you make if you are not allowed to use any other digits except 4 and 0?

Answers

Answer:

There is a slight problem with this question

Do numbers starting with "0" count as a digit position

I would say no, thus the answer is 4...

if you are allowed to use 0 then the answer is 8

in other words if the question was using only 4's and 1's then the answer would be 8  

Step-by-step explanation:

000

004

040

044

400

404

440

444

what is 18/72 + 12/42

Answers

.53571429 exactly but if you want to round the answer is different

PLEASE PLEASE PLEASE HELP ME WITH THIS QUICK QUESTION!!!!!!!!!

PLEASE PLEASE PLEASE HELP ME WITH THIS QUICK QUESTION!!!!!!!!!

Answers

Answer:

y intercept: 4, x-intercept: None

Step-by-step explanation:

Took the test and got it right

A single number that estimates the value of an unknown parameter is called a _______ estimate.

Answers

Answer:

A single number that estimates the value of an unknown parameter is called a point estimate.

Step-by-step explanation:

Don't see the point (haha) of elaborating

If triangle GHJ is isosceles find the value of x

If triangle GHJ is isosceles find the value of x

Answers

Answer:

x = 5

Step-by-step explanation:

Because an isosceles triangle's angles will always add up to 180, it's quite simple plugging in angle J into a formula to find our answer.

Before we begin, recall that the bottom two angles of an isosceles triangle are equal to the other. Thus:

Unknown angle (H) = 14x+1

So...

38 + 14x + 1 + 14 x + 1 = 180

40 + 28x = 180
-40             -40
28x = 180

28x/28 = 180/28

We get:
x = 5

If triangle GHJ is isosceles find the value of x

Answer:

\(x = 5\)

Step-by-step explanation:

Note that:

Base Angles Of An Isosceles Triangle Are Equal.

Calculating For the Value Of X

Since Base Angles are Equal

(14x + 1)° + (14x +1)° +38° = 180°

Removing Brackets

14x + 1 + 14x + 1 + 38 = 180°

28x + 2 + 38 = 180°

28x + 40 = 180°

collecting like term

28x = 180 - 40

28x = 140

x =5

Therefore the value of x is 5

Question 11 i’m confused

Question 11 im confused

Answers

54/297 * 100% = 18.18%

You can rent a bird scooter in Atlanta according to the function e(x)=0.15x+1.00 to unlock the scooter and $0.15 each minute to rent.
Let e(x) represent the total cost of the rental after x minutes.
a. interpret e(3)=1.45
b. find the e(10).
c. let e(x)-5.50. x=__
d. domain___ range___

Answers

Answer:

17.23

Step-by-step explanation:

Research suggests that depression significantly increases the risk of developing dementia later in life. Suppose that in a study involving 949 elderly persons, it was found that 22% of those who had depression went on to develop dementia, compared to only 17% of those who did not have depression. Choose the relevant population and the sample.a. The sample consists of 949 elderly people. b. The population is all elderly people. c. The sample consists of 949 younger people. d. The population is all younger people.

Answers

The sample consists of 949 elderly people and the population is all elderly people.

A sample is a random group chosen to represent the complete population. Based on the characteristics of the sample, conclusions about the population are drawn in statistical analysis. The complete collection of people or objects of interest is referred to as a population. It is the collection of all components or individuals who share a characteristic, such as all seniors or all depressed individuals. Usually, the sample size is larger than the population size.

According to research, depression considerably raises the risk of dementia in a given situation. Consider the possibility that research of 949 senior people found that 22% of those who experienced depression went on to develop dementia, compared to only 17% of those who did not. As a result, the population is made up entirely of the elderly, and the sample consists of 949 of them.

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I need help on a problem

Answers

Answer:

b. Cannot be determined

Explanation:

b. The triangle have one congruent angles and one congruent sides, this is not enough information to conclude that they are congruent triangles.

Find the value of x in the isosceles triangle shown below. ​

Find the value of x in the isosceles triangle shown below.

Answers

Answer:

The answer for X would be 2.5

Step-by-step explanation:

The base of a triangle is B=2(Area/Height)

The area is 15 because its on both sides and the height is 12

the answer is (15/12)*2 which equals 2.5

Answer: X = 18

Explanation: Alright, lets use the pythagorean theorem. 3sqrt(5^2-4^2) = 9, and therefore, x = 18.

1
A line passes through the point (-7, 5) and has a slope of 2. Which is another point that the line passes through?
O (-13, 9)
O (-9, 13)
O (9, 13)
O (13,9)

1A line passes through the point (-7, 5) and has a slope of 2. Which is another point that the line passes

Answers

Answer:

D

Step-by-step explanation:

I would have to assume its D since the starting point is (-7, 5) and the slope is 1/2, since it is a positive slope it would reach (13, 9)

Evaluate the following expression: \[ 1.723 \times 10^{2}+7.38 \times 10^{3} \] Type answer:

Answers

The sum of expression \(1.723 \times 10^{2}\) and \(7.38 \times 10^{3}\) is \(7.5523 \times 10^{3}\). The numbers in scientific notation are added by summing the coefficients while keeping the exponent unchanged.


In scientific notation, numbers are expressed as a coefficient multiplied by a power of 10. To add numbers in scientific notation, we need to ensure that the powers of 10 are the same.

In this case, both numbers are already in scientific notation with powers of 10. We can directly add the coefficients while keeping the exponent the same.

Adding \(1.723 \times 10^2\) and \(7.38 \times 10^3\) gives us a sum of \(7.5523 \times 10^3\). The coefficient represents the numerical value, and the power of 10 indicates the magnitude.

Thus, the expression \(1.723 \times 10^2 + 7.38 \times 10^3\) evaluates to \(7.5523 \times 10^3\), indicating a significant increase in magnitude compared to the individual numbers.

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Write the ratio in the simplest form. 28÷35

Answers

Answer:

the answer is 4:5

Step-by-step explanation:

because 2/8 ÷ 3/5 = 4/5 in ratio its 4:5

Is the graphed function linear?

Answers

Nooooooooooooooooooooooo
Nope no it’s not :] it is not

solve for variable (image attached)

solve for variable (image attached)

Answers

Answer:

x = 2

Step-by-step explanation:

Given

\(\frac{3(6x+8)}{4}\) = 15 ( multiply both sides by 4 to clear the fraction )

3(6x + 8) = 60 ( divide both sides by 3 )

6x + 8 = 20 ( subtract 8 from both sides )

6x = 12 ( divide both sides by 6 )

x = 2

The value of x in the equation is 2

The equation given :

3(6x + 8) / 4 = 15

Multiply both sides by 4

3(6x + 8) = 15 × 4

3(6x + 8) = 60

Open the bracket

18x + 24 = 60

18x = 60 - 24

18x = 36

x = 36/18

x = 2

The value of x in the equation is 2

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A football is kicked into the air. Its height above the ground changes according to the equation y --16x2 + 80x +3, where x = time in seconds and ) = height in feet. The ball reaches a height of
67 feet twice: once on the way up and once on the way down. How much time does the ball spend at or above a height of 67 feet?

Answers

Answer:

it either 24 or 34

Step-by-step explanation:

I can't understand how the equation is set up!

solve please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

solve please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Step-by-step explanation:

it is very easy solve I will tell you if u follow me we should help each other

A 16-ounce bottle of shampoo costs $4.69. What is the price per ounce, rounded to the nearest cent? $0.29 $0.34 $2.93 $3.41

Answers

Answer: Choice A) 0.29 dollars

Work Shown:

16 ounces = 4.69 dollars

16/16 ounces = 4.69/16 dollars .... divide both sides by 16

1 ounce = 0.293125 dollars

1 ounce = 0.29 dollars .... rounding to the nearest cent

Answer:

A i got it right in edge

Step-by-step explanation:

PLEASE HELP ILL BRAINLIEST YOU

PLEASE HELP ILL BRAINLIEST YOU

Answers

Answer:

x=176.78

y=262.28

z=176.77

A number is chosen at random from 1 to 10. Find the probability of selecting a 6 or greater.

Answers

Answer:

1/2

Step-by-step explanation:

p(event) = (number of desired outcomes)/(total number of outcomes)

How many different outcomes are there? You can choose 1, 2, 3, 4, 5, 6, 7, 8, 9, or 10, so the total number of possible outcomes is 10.

How many outcomes are desired. The desired outcomes are any outcomes with a number 6 or higher. Which numbers are 6 or higher? 6, 7, 8, 9, 10. There are 5 outcomes that are 6 or higher, so there are 5 desired outcomes.

p(event) = (number of desired outcomes)/(total number of outcomes)

p(event) = 5/10 = 1/2

Answer: 1/2

3y + 8 = I 7
Also can you show me the written steps?

Answers

3y=17-8
3y=9 Divide 9 and 3
Y=3

5. In Standing Bear Middle School, there are 270 total students split into two groups: A and
B. If 30 students move to Group B from Group A, then there will be twice as many
students in Group A as in Group B. What is the original number of students in Group B?

Answers

Using a system of equations, it is found that the original number of students in Group B was of 120.

What is a system of equations?

A system of equations is a set of equations involving multiple variables that are related, and then operations are made to solve these equations and identify the numeric value of each variable.

In the context of this problem, the variables are described as follows:

Variable x: number of students in group A.Variable y: number of students in group B.

There are 270 total students, hence:

x + y = 270.

x = 270 - y. (as we want to find y).

If 30 students move to Group B from Group A, then there will be twice as many students in Group A as in Group B, hence:

x + 30 = 2(y - 30).

Replacing the relation of the first equation on the second, it is found that:

270 - y + 30 = 2y - 60

3y = 360

y = 360/3

y = 120.

The original number of students in Group B is of 120.

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Anyone please answer me ,
Please solve this question

Anyone please answer me ,Please solve this question

Answers

Answer:

67

Step-by-step explanation:

Multi-Inscribed Quadrilateral: 15

Bananas: 4

Clock: 3

Therefore, we can substitute for the last equation the values, so it would become:

3 + 4 + 4 x 15 = ?

First, we solve the multiplication according to PEMDAS.

4 x 15 = 60

Then, we can add from left to right.

3 + 4 + 60 = ?

3 + 4  = 7

7 + 60 = 67

Therefore, our answer would be 67.

Answer:

\(15 + 15 + 15 = 45 \\ 4 + 4 + 15 \: \: \: \: = 23 \\ 4 + 3 + 3 = 10 \\ 3 + 4 + 4 \times 11 = 51\)(according to BODMAS)

Step-by-step explanation:

First divide 45 by three

\(45 \div 3 = 15\)

then subtract 15 from 23 and divide that answer by 2

\(23 - 15 = 8 \\ 8 \div 2 = 4\)

Now subtract 4 from 10 and then divide that answer by 2

\(10 - 4 = 6 \\ 6 \div 2 = 3\)

Now add 3+4+4*11 you will get the answer for ?

\(3 + 4 + 4 \times 11\)

3 + 4 + 44

7 + 44

= 51

hope this helps

brainliest appreciated

good luck! have a nice day!

The equation -x^2+4x-4=0 has no solutions
a. true
b. false

The equation -x^2+4x-4=0 has no solutionsa. trueb. false

Answers

Answer:

true

Step-by-step explanation:

Let us calculate the determinant of this quadratic equation:

Δ = b^2 - 4ac = 16-4*(-1)*(-4) = 0

The equation has one solution

x = -b/2a = 2

can I get a tutor in math please. I need help in quadratic equation​

Answers

Answer:

sure i can help

Step-by-step explanation:

Answer:

sure

Step-by-step explanation:

PLEASE HELP!! PLEASE AND THANK YOU!

PLEASE HELP!! PLEASE AND THANK YOU!

Answers

Answer:

50.05 feet

Step-by-step explanation:

The tower have 32.57 feet, and you can find it using the same method than I used in your other question

Now you find the length of the guy wire using the Pythagorean theorem:

38²+32.57² = guy wire²

2504.8 = guy wire²

guy wire = √2504.8

guy wire = 50.05 feet

Select the row of Pascal's triangle that is used to expand the binomial expression (22³ + 3y²)².
1
11
121
1331
14 641
1
5 10 10 5 1
1 6 15 20 15 6 1
1 7 21 35 35 21
35 21 7 1
1 8 28 56 70 56 28 8 1
M
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Sep 15
1:1

Answers

We will select the third row from the pascal triangle to expand the binomial expression   (22³ + 3y²)²  which is equal to

                     (22³ + 3y²)² = 22⁶ + 63888y² + 9y⁴

We know that when we need to expand the expression (a + b)² we select the coefficients from the row of triangle beginning with 1,2 which is (1,2,1).

And when we write the expansion we note that with each new term we decrease the power of a and increase the power of b.

Thus the expansion can be written as

    (a + b)² = 1a² + 2ab + 1b²

which we normally write as

     (a + b)² = a² + 2ab + b²          (1)

According to the question we have been the expression as

(22³ + 3y²)² which is equal to the above expression where,

              a = 22³   and   b = 3y²

Putting the required values in equation (1) we get

      (22³ + 3y²)² =   (22³)² + 2(22³)(3y²) + (3y²)²

                         = 22⁶ + 63888y² + 9y⁴

Hence we will select the third row from the pascal triangle to expand the binomial expression   (22³ + 3y²)²  which is equal to

                     (22³ + 3y²)² = 22⁶ + 63888y² + 9y⁴

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How many significant figures should be included in the answer to the following calculation? (3.4876)/(4.11+1.2

Answers

The calculation (3.4876)/(4.11+1.2) should be reported with three significant figures: 0.657.

To determine the number of significant figures in the answer to the calculation (3.4876)/(4.11+1.2), we need to consider the number of significant figures in the given values and apply the rules for significant figures in mathematical operations.

First, let's analyze the number of significant figures in the given values:

- 3.4876 has five significant figures.

- 4.11 has three significant figures.

- 1.2 has two significant figures.

To perform the calculation, we divide 3.4876 by the sum of 4.11 and 1.2. Let's evaluate the sum:

4.11 + 1.2 = 5.31

Now, we divide 3.4876 by 5.31:

3.4876 / 5.31 = 0.6567037...

Now, let's determine the number of significant figures in the result.

Since division and multiplication retain the least number of significant figures from the original values, the result should be reported with the same number of significant figures as the value with the fewest significant figures involved in the calculation.

In this case, the value with the fewest significant figures is 5.31, which has three significant figures.

Therefore, the answer to the calculation (3.4876)/(4.11+1.2) should be reported with three significant figures: 0.657.

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Find a number such that the sum and three times its reciprocal is 91/20.

Answers

For this exercise you need to remember the following:

1. The sum is the result of an Addition.

2. By definition, given:

\(\frac{a}{b}\)

Its reciprocal is:

\(=\frac{b}{a}\)

3. The word "times" indicates a Multiplication.

In this case, let be "n" the number mentioned in the exercise. Its reciprocal is:

\(\frac{1}{n}\)

Based on the information given in the exercise, you can set up the following equation:

\(n+3(\frac{1}{n})=\frac{91}{20}\)

Now you must solve for "n":

1. Simplify:

\(\begin{gathered} n+\frac{3}{n}=\frac{91}{20} \\ \\ \frac{(n)(n)+3}{n}=\frac{91}{20} \\ \\ \frac{n^2+3}{n}=\frac{91}{20} \\ \\ n^2+3=\frac{91}{20}n \end{gathered}\)

2. Make the equation equal to zero:

\(n^2-\frac{91}{20}n+3=0\)

3. Apply the Quadratic formula. This is:

\(n=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}\)

In this case:

\(\begin{gathered} a=1 \\ b=-\frac{91}{20}_{} \\ \\ c=3 \end{gathered}\)

Substituting values and evaluating, you get:

\(\begin{gathered} n=\frac{-(-\frac{91}{20})\pm\sqrt[]{(-\frac{91}{20})^2-2(1)(3)}}{2\cdot1} \\ \\ n_1=\frac{15}{4} \\ \\ n_2=\frac{4}{5} \end{gathered}\)

The answer

There are two numbers:

\(\begin{gathered} n_1=\frac{15}{4} \\ \\ n_2=\frac{4}{5} \end{gathered}\)

Answer:

0.8 and 3.75.

Step-by-step explanation:

If the number is x, then:-

x + 3 * 1/x = 91/20

x^2 + 3 = 91x/20

x^2 - (91/20)x + 3 = 0

x^2 - 4.55x + 3 = 0

x = [-(-4.55) +/- sqrt((-4.55)^2 - 4*1*3)] / 2

x = 0.8, 3.75.

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