Ends of a diameter: (16,-2) and (16,-4). Find the standard equation of the circle.

Answers

Answer 1

Given the endpoints of the diameter are (16,-2) and (16,-4).

Find the center of the circle by finding the midpoint of the line segment joining (16, -2) and (16,-4).

\(\begin{gathered} M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}) \\ =(\frac{16+16}{2},\frac{-2-4}{2}) \\ =(16,-3) \end{gathered}\)

Now, find the radius of the circle using the distance formula.

\(\begin{gathered} d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2} \\ =\sqrt[]{(16-16)^2+(-4-(-2))^2} \\ =\sqrt[]{(-2)^2} \\ =2 \end{gathered}\)

Thus, the diameter of the circle is 2. Hence the radius is 1 unit.

The standard equation of a circle is

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

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

Substitute the obtained values into the equation.

\((x-16)^2+(y+3)^2=1\)

Related Questions

The question for the graph has a leading coefficient that is___. What are the possible degrees for the equation of this graph

The question for the graph has a leading coefficient that is___. What are the possible degrees for the

Answers

Answer: Part one (NEGATIVE) Part two is C (EVEN DEGREES OF FOUR OR GREATER)

Step-by-step explanation:

A student ran a distance of 3 1/2miles each day for 5 days. Then the student ran a distance of 4 1/4 miles each day for the next 5 days. What was the total distance in miles the student ran during these 10 days?

Answers

Answer:

To find the total distance, we need to add up the distance the student ran in the first 5 days and the distance the student ran in the next 5 days.

Distance for the first 5 days = 3 1/2 miles/day × 5 days = 17.5 miles

Distance for the next 5 days = 4 1/4 miles/day × 5 days = 21.25 miles

Total distance = Distance for the first 5 days + Distance for the next 5 days

Total distance = 17.5 miles + 21.25 miles

Total distance = 38.75 miles

Therefore, the student ran a total of 38.75 miles during these 10 days.

f(g(x)) g(f(x)) ANSWER QUESTION BELOW BRIEF RESPONSE

f(g(x)) g(f(x)) ANSWER QUESTION BELOW BRIEF RESPONSE

Answers

Given statement solution is :- "F(g(x)) g(f(x))": The function F(x) is composed with g(x), and the result is further composed with g(f(x)).

"f(g(x)) g(f(x))": The function g(x) is composed with f(x), and the result is further composed with g(f(x)).

The expressions "F(g(x)) g(f(x))" and "f(g(x)) g(f(x))" are compositions of functions. The answer to the question posed would depend on the specific functions F(x) and g(x), as well as f(x) and g(x) in the second expression.

To provide a brief response:

For the expression "F(g(x)) g(f(x))": The function F(x) is composed with g(x), and the result is further composed with g(f(x)). The order of composition is F(g(x)) first, followed by g(f(x)).

For the expression "f(g(x)) g(f(x))": The function g(x) is composed with f(x), and the result is further composed with g(f(x)). The order of composition is f(g(x)) first, followed by g(f(x)).

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simplify. write the expression using only positive exponents 8x ^-3

Answers

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

10. 8 x ^ - 3

simplify ===> positive exponents​

Step 02:

We must apply the laws of exponents.

\(8x^{-3}=8\frac{1}{x^3}=\frac{8}{x^3}\)

That is the solution.

8 / x ^ 3

3.265 rounded to the nearest tenth

Answers

Answer:

3.3

Step-by-step explanation:

Answer:

3.3

Step-by-step explanation:

Find the number in the tenth place 2 and look one place to the right for the rounding digit 6. Round up if this number is greater than or equal to 5 and round down if it less than 5.

3.3

Hope this helped!

How can you prove this to triangles are similar

Answers

There are several ways to prove that two triangles are similar, but the most common method is using the concept of corresponding angles and corresponding sides.

What is an example of congruence?

Congruent refers to something that is "absolutely equal" in terms of size and shape. The shapes hold true regardless of how we rotate, flip, or turn them. Draw two circles with the same radius, for instance, cut them out, and stack them on top of one another.

If two triangles have corresponding angles congruent (equal in measure), and the ratios of their corresponding sides are equal, then the triangles are similar. This is known as the Angle-Angle (AA) Similarity criterion.

Another way is when two triangles have corresponding sides in proportion and no angles are congruent, then the triangles are similar, it is known as the Side-Side-Side (SSS) Similarity criterion.

Another way is when two triangles have a pair of corresponding angles congruent and their corresponding sides are in proportion, the triangles are similar. This is known as the Side-Angle-Side (SAS) Similarity criterion.

So, In order to prove that two triangles are similar, you have to show that either the angles are congruent and the sides are proportional using (AA), (SSS), (SAS) or (ASA) Similarity criteria.

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1 point
A box contains 6 black pens, 4 blue pens, and 7 red pens. Without looking, Clarissa randomly picks a black pen out of the box. If she chooses another pen out of the
box without replacing the first one, what is the probability that she will pick a black pen both times? Write your answer as a percent.

Answers

The probability that she will select a black pen both times if she takes a pen from the box without replacing the first one is 41.176%.

Given that

Six black, four blue, and seven red pens are included in a box. Clarissa takes a black pen at random from the box without even looking.

We have to find what is the probability that she will select a black pen both times if she takes a pen from the box without replacing the first one.

Based on the given conditions, formulate:

7/(7+6+4)

7/(13+4)

7/17

0.41176

41.176%

Therefore, the probability that she will select a black pen both times if she takes a pen from the box without replacing the first one is 41.176%.

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Can some one help with this problem

Can some one help with this problem

Answers

Step-by-step explanation:

Area of the trapezoid = height x average of bases

                 area = 4 x (8+13)/2) = 42 in^2

Area of triangle  = 1/2 base * height   = 1/2 (13-8) * 4 = 10 in^2

the perimeter of a semicircle protractor is 14.8cm,find it's radius​

Answers

The radius of the semicircle protractor is approximately 4.693 cm.

Given,Perimeter of a semicircle protractor = 14.8 cm.

To find:The radius of a semicircle protractor.Solution:We know that the perimeter of a semicircle protractor is the sum of the straight edge of a protractor and half of the circumference of the circle whose radius is the radius of the protractor.

Circumference of a circle = 2πrWhere, r is the radius of the circle.If the radius of the semicircle protractor is r, then Perimeter of a semicircle protractor = r + πr [∵ half of the circumference of a circle =\((1/2) × 2πr = πr]14.8 = r + πr14.8 = r(1 + π) r = 14.8 / (1 + π)r ≈ 4.693\) cm.

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Linear Equations: Solve for x given "-2x + 7 = 13"

Answers

Answer:

x = -3

Step-by-step explanation:

-2x + 7 = 13

-2x = 13 - 7

-2x = 6

x = 6/-2

x = -3

Which of the following is another name for a proof by contradiction?​

Answers

There are a few possibilities:

Indirect proofreductio ad absurdum

The second term refers to the idea of simplifying a claim down to an impossible absurd one.

The length of a rectangular deck is 5 times it’s width. If the decks perimeter is 36feet, what is the deck area?

Answers

Answer:

45

Step-by-step explanation:

P = 2(L+W)

36 = 2(5W + W)

36 = 10W + 2W

36 = 12W

W = 3

5W = 5(3) = 15

15 x 3 = 45

The area of a rectangular deck is 45 square feet.

Given that, the length of a rectangular deck is 5 times it’s width.

What is the perimeter of a rectangle?

The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).

The decks perimeter is 36 feet

Let the width of a deck is w, then the length of a deck is 5w.

Now, 2(5w+w)=36

⇒ 6w=18

⇒ w=3 feet

So, length=5w=15 feet

Area =15×3

= 45 square feet

Therefore, the area of a rectangular deck is 45 square feet.

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ReWrite 2/3 and 3/4 with a common denominator

Answers

Answer:

8/12 and 9/12

Step-by-step explanation:

Answer: 8/12 and 9/12

2/3 = 8/12 and 3/4 = 9/12

To get two fractions with common denominators you can find the least common multiple of the denominators or you can multiply 2/3 x 4 and 3/4 x 3

The lowest common denominator between 4 and 3 is 12

To get from 4 to twelve we multiplied by 3. Whatever you do to the bottom you do to the top. The top number is 3.

3 x 3 = 9

So your new fraction is 9/12. If you simply this you get 3/4 so this checks out ✔️

Now we need to do the other fraction

To get to from 3 to twelve we multiply by 4

3 x 4 = 12

Whatever you do to the bottom you have to do it the same to the top

2 x 4 = 8

Now you get 8/12. 8/12 simplified is 2/3 so this Plato’s checks out ✔️

Can someone help with this I can't fail.​

Can someone help with this I can't fail.

Answers

Answer: B

Step-by-step explanation:

(f-g)(x) is f(x)-g(x). Since we have f(x) and g(x), we can directly subtract them.

5x-2-(2x+1)            [distribute -1]

5x-2-2x-1                [combine like terms]

3x-3

Add. 5.6+(−2.8)+(−2.3) Enter your answer in the box.

Answers

Answer:

0.5

Step-by-step explanation:

5.6-2.8=2.8

2.8-2.3=0.5

Answer:

0.5

Step-by-step explanation:

5.6+(-2.8)+(-2.3)

____________

0.5

I need help with the first question of this problem.

I need help with the first question of this problem.

Answers

Answer:

Step-by-step explanation:

hello, it seems this is problematic im sorry but I'm not sure if you could put a better picture.

In what form is water returned to earths surface?
A. Vapor
B. Precipitation
C. Wind
Answer asap for brainlist please nobody will help me

Answers

Answer:

B. Precipitation

Step-by-step explanation:

Precipitation is atmospheric water vapor that condenses to a liquid and then falls back to earth due to gravity.

The number of hours per week that the TV is turned on is determined for each family in a sample.
The mean of the data is 37 hours.
The median is 33.2 hours.
Twenty four of the families in the sample watched TV for less than 22 hrs per week.
The 16th percentile is 22hrs.
150 families participated in the study.
The first percentile is greater than or equal to 22 hours: True or False?

Answers

Answer:

False, the first percentile is less than 22 hours.

Step-by-step explanation:

xth percentile:

If a measure is said to be in the xth percentile, it means that x% of the measures are smaller than it, and (100-x)% are larger.

Twenty four of the families in the sample watched TV for less than 22 hrs per week. In the sample, there are 150 families.

This means that 22 is the:

24*100%/150 = 16th percentile.

The first percentile is greater than or equal to 22 hours: True or False?

The first percentile is less than the 16th percentile, which is 22. This means that this is false, the first percentile is less than 22 hours.

8. Given AABC~AEDC
What is the value of x?
C. 30
D. 20
A. 15
B. 12
A
E
60
X
C
D
10
40
B

Answers

Answer:

790

Step-by-step explanation:

7098uuilu4645

NEED THE ANSWER AS SOON AS POSSIBLE PLEASE!! ​

NEED THE ANSWER AS SOON AS POSSIBLE PLEASE!!

Answers

Answer:

\(\large \boxed{\sf \ \ \dfrac{1}{2}\sqrt{(x_1^2+y_1^2)(x_2^2+y_2^2)} \ \ }\)

Step-by-step explanation:

Hello,

This is a right triangle so the area is:

\(\dfrac{1}{2} \left\{ \sqrt{x_2^2+y_2^2} \cdot \sqrt{x_1^2+y_1^2} \right\}\\\\=\dfrac{1}{2}\sqrt{(x_1^2+y_1^2)(x_2^2+y_2^2)}\)

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

What are the domain and range of the function?

f(x)=35x5

Answers

Answer:

Assuming that the question is  

\(f(x)=\frac{3}{5x^5}\)

The asnwer would be

Domain: (- ∞,0) U (0, ∞)

Range: ( - ∞,0) U (0, ∞)

Step-by-step explanation:

What are the domain and range of the function?f(x)=35x5

The domain and range of the function are:

Domain: (- ∞,0) U (0, ∞)

Range: ( - ∞,0) U (0, ∞)

Domain and  Range of function

The domain are the input values for which a function exist while the range are output value for which the function exist.

Given the function:

g(x) = 35x^5

The function can exist on all real values since we will have a correspoding value of y for every value of x.

Hence the domain and range of the function are:

Domain: (- ∞,0) U (0, ∞)

Range: ( - ∞,0) U (0, ∞)

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Plz help fast Jack, John, Lily, and Sara want to take a picture together. In how many ways can they are arranged?

Answers

Answer:

The best estimate would be around 10-16

Step-by-step explanation:

The think is that they can be in many orders and since there is four of them it would be more orders.

Hope this helps

ABC and XYZ are similar. Find the missing side length.

(The triangle are not drawn to scale)







Answer and I will give you brainiliest

ABC and XYZ are similar. Find the missing side length.(The triangle are not drawn to scale)Answer and

Answers

Answer:

7

Step-by-step explanation:

In the first triangle, the length of the sides are 32(4*8), 56(8*7) & 40(5*8)

so in the second figure, the lengths are 4, 7, 5

35% of students take spainsh or engineering. 30% of students take Spanish. 25% of students take engineering. What is the probability that a student takes Spanish and engineering?

Answers

Answer:

0.2 = 20% probability that a student takes Spanish and engineering

Step-by-step explanation:

We solve this question treating the probabilities as Venn sets.

I am going to say that:

Event A: Student takes Spanish

Event B: Student takes Engineering.

35% of students take spainsh or engineering.

This means that \(P(A \cup B) = 0.35\)

30% of students take Spanish.

This means that \(P(A) = 0.3\)

25% of students take engineering.

This means that \(P(B) = 0.25\)

What is the probability that a student takes Spanish and engineering?

This is \(P(A \cap B)\).

These probabilities are related by the following formula:

\(P(A \cup B) = P(A) + P(B) - P(A \cap B)\)

So

\(P(A \cap B) = P(A) + P(B) - P(A \cup B)\)

Replacing the values

\(P(A \cap B) = 0.3 + 0.25 - 0.35 = 0.2\)

0.2 = 20% probability that a student takes Spanish and engineering

9. How many solutions does this system have? (1 point)
x-2y = 2
y=-2x+5
O infinitely many solutions.
Ono solutions
Otwo solutions.
one solution

Answers

The final statement is: The system of equations have unique solution.

What is the solution to a linear equation?

The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.

Given here: x-2y = 2 & y=-2x+5

Solving these two equations by method of substitution we get

x-2(-2x+5)=2

x+4x-10=2

5x=12

x=2.4

∴ y=2×2.4+5

    =4.8+5

    =9.8

Hence, The system has one solution.

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PLEASE HELP!

A poll is given, showing 45% are in favor of a new building project.

If 4 people are chosen at random, what is the probability that exactly 3 of them favor the new building project?

Answers

The probability that exactly 3 out of 4 people chosen at random favor the new building project is 0.2904.

This problem can be solved using the binomial probability formula. Let X be the number of people who favor the new building project out of the 4 chosen at random. Then X follows a binomial distribution with parameters n = 4 and p = 0.45.

The probability of having exactly k people who favor the new building project out of 4 is given by:

P(X = k) = (4 choose k) * \(0.45^{k}\) * \(0.55^{4-k}\)

where (4 choose k) is the binomial coefficient.

To find the probability that exactly 3 of the 4 people favor the new building project, we substitute k = 3 in the above formula and evaluate:

P(X = 3) = (4 choose 3) * \(0.45^{3}\) * \(0.55^{1}\)

= 0.290384375

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Ruby bought 2 chicken wings for $4. What was the cost of the wings in dollars per wing ?

Answers

Answer:

$8

Step-by-step explanation:

Answer:

$2.00

Step-by-step explanation:

If Ruby bought 2 for $4 that means one would be $2.00

Just divide by two.

Hope this helps.

The vertices of a triangle are located at P(0, 0), 0(4,3), and R(4,0).
Graph the triangle; use the graph paper provided. What is the perimeter
of this triangle?*

Answers

9514 1404 393

Answer:

  12

Step-by-step explanation:

The length of the hypotenuse, PQ, can be found from the Pythagorean theorem:

  PQ² = QR² +PR²

  PQ² = 3² + 4² = 25

  PQ = √25 = 5

The perimeter is the sum of side lengths:

  P = 3 + 4 + 5 = 12

The perimeter of this triangle is 12 units.

The vertices of a triangle are located at P(0, 0), 0(4,3), and R(4,0).Graph the triangle; use the graph

Let sin(2x) = cos(x), where 0° ≤ x < 180°. What are the possible values for x? 30° only 90° only 30° or 150° 30°, 90°, or 150°

Answers

Answer:

Answer = 30° , 90° , 150°

Step-by-step explanation:

Hope it helps you

how do I solve
graph y=In(x)

Answers

Answer:

replace the value of x but x cannot be 0 or a negative number

Step-by-step explanation:

for example:

replace x with 1===> y will be =0 cuz ln(1) = 0

replace x with 2==> y will be = 0.7 cuz ln(2)= 0.7

replace x with 3==> y will be = 1.1 cuz ln(3)= 1.1

replace x with 4==> y will be =  1.4 cuz ln(4)= 1.4

but the graph of ln(x) is famous

check it on the web

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