A line segment has endpoints at (8, 3) and (2,5). What would be the equation of this line's perpendicular bisector?

Answers

Answer 1

Answer:

y  = −1/3x+17/3

Step-by-step explanation:

The line segment has slope -1/3. This means that any line perpendicular to it will have a slope of 3 (negative reciprocal)

Any line that bisects the line segment will pass through its midpoint. The midpoint is (5,4)

Midpoint formula: \(( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} )\)

So perpendicular bisector of this line  is simply a line with slope −1/3 that passes through point (5, 4)

y - 4 = -1/3 (x-5)=

y  =  −1/3x+17/3


Related Questions

g a runner wants to run 10.1 km . her running pace is 6.8 mi/hr . how many minutes must she run?

Answers

I runner is running at the speed of 6.8 miles/hr and he wants to run 10.1 km then he runner must run for 9.3 minutes.

To calculate this, we first need to convert the given speed from miles per hour to kilometers per hour. 6.8 mi/hr is equal to 10.9 km/hr.

Then, we need to divide the total distance (10.1 km) by the speed (10.9 km/hr) to get the total time it will take for the runner to complete the 10.1 km run.

10.1 km/10.9 km/hr = 0.922 hr = 9.3 minutes.

Therefore, the runner must run for 9.3 minutes in order to complete the 10.1 km run.
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A component of a computer has an active life, measured in discrete units, that is a random variable T, where Pr{T = k} == a,, for k = 1, 2.... . Suppose one starts with a fresh component, and each component is replaced by a new component upon failure. Let X,, be the age of the component in service at time n. Then {Xn} is a success runs Markov chain. (a) Specify the probabilities "pi" and "qi". (b) A "planned replacement" policy calls for replacing the component upon its failure or upon its reaching age N, whichever occurs first. Specify the success runs probabilities "pi" and "qi" under the planned replacement policy.

Answers

(a) We have:

pi = a, for i = 0, 1, 2, ...

qi = 1 - a, for i = 0, 1, 2, ...

(b) We have:

pi = a, for i = 0, 1, 2, ..., N-1

pi = 0, for i = N

qi = 1 - a, for i = 0, 1, 2, ..., N-1

qi = 0, for i = N

(a) To specify the probabilities "pi" and "qi" for the success runs Markov chain, we need to define the transition probabilities.

Let's define "pi" as the probability of a component lasting exactly "i" units of time before failing, and "qi" as the probability of a component failing at or before "i" units of time.

For the success runs Markov chain, the transition probabilities are as follows:

- The probability of moving from state "i" to state "i + 1" is "a" since it represents the probability of the component surviving one additional unit of time.

- The probability of moving from state "i" to state "0" (failure) is "1 - a" since it represents the probability of the component failing.

Therefore, we have:

pi = a, for i = 0, 1, 2, ...

qi = 1 - a, for i = 0, 1, 2, ...

(b) Under the planned replacement policy, the component is replaced upon its failure or upon reaching age N, whichever occurs first. This policy introduces an additional state to the Markov chain, which is the state of replacement (state N).

The updated transition probabilities for the success runs Markov chain under the planned replacement policy are as follows:

- The probability of moving from state "i" to state "i + 1" (where i < N) remains "a" since the component continues to function.

- The probability of moving from state "i" to state "N" (replacement) is "1 - a" since the component fails before reaching age N.

- The probability of moving from state "N" to state "0" (failure) is 1 since the replacement occurs at age N, and the new component starts at age 0.

Therefore, we have:

pi = a, for i = 0, 1, 2, ..., N-1

pi = 0, for i = N

qi = 1 - a, for i = 0, 1, 2, ..., N-1

qi = 0, for i = N

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what is the value for the variable?
8^a = 1

Answers

Answer:

A=1

Step-by-step explanation:

Because A would stand for a variable and a variable would equal to 1

Will give crown help

Will give crown help

Answers

Answer:

(2,-8)

Step-by-step explanation:

(2,-8)

333b7jk,,,,,,,7h79p;'/'][

Answers

Answer:

Step-by-step explanation: nmbgbhj ,vmxhvgvkhchvc vhkyfdcxvgch cggcfglfflfvhghghjb

A ____________ can be used to help us determine the extent of how much an outcome is achieved.

Answers

A metric can be used to help us determine the extent of how much an outcome is achieved.

What is metric?

A metric is a quantifiable gauge that is employed to assess, scrutinize, and appraise diverse facets of a system, procedure, or outcome. It furnishes a standardized and unbiased approach to gauge and monitor performance or advancement towards particular objectives or goals. Metrics are commonly formulated based on precise criteria or prerequisites and can manifest as numerical or qualitative in essence.

They find application in various domains such as commerce, finance, science, engineering, and myriad others to evaluate performance, facilitate well-informed decisions, and oversee progress over time.

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how do u solve for 16=17-t

Answers

Answer:

t = 1

Step-by-step explanation:

16=17-t

Subtract 17 from each side

16-17=17-17-t

-1 = -t

Multiply each side by -1

1 = t

Answer:

move 17 to the other side and subtract it from 16 leaving u with -1=-t and the divide it by -1 leaving you with t=1

Step-by-step explanation:

part 4. Find the missing sides for the 30 60 90 triangles. Please show work for each​

part 4. Find the missing sides for the 30 60 90 triangles. Please show work for each

Answers

10. tan(30) = l / 6√3

l = tan(30) x 6√3

l = 6

cos(30) = 6√3 / y

y =  6√3/cos(30)

y = 12

11. tan(30) = c/30

c = 30 x tan(30)

c = 10√3

cos(30) = 27/w

w = 27/cos(30)

w = 18√3

12.

sin(60) = 36/y

y = 36/sin(60)

y = 24√3

tan(60) = 36/x

x = 36/tan(60)

x = 12√3

Answer:

  10. (l, y) = (6, 12)

  11. (c, w) = (9√3, 18√3)

  12. (x, y) = (12√3, 24√3)

Step-by-step explanation:

Side ratios, shortest to longest, in a 30°-60°-90° triangle are ...

  1 : √3 : 2

__

10. l : 6√3 : y = 1 : √3 : 2

multiply by 6

  = 6 : 6√3 : 12

  l = 6, y = 12

__

11. c : 27 : w = 1 : √3 : 2

multiply by 27/√3 = 9√3

  = 9√3 : 27 : 18√3

  c = 9√3, w = 18√3

__

12. x : 36 : y = 1 : √3 : 2

multiply by 36/√3 = 12√3

  = 12√3 : 36 : 24√3

  x = 12√3, y = 24√3

__

This is easier when the triangle is drawn to clearly differentiate the lengths of the sides. The long leg is opposite the 60° angle; the short leg is opposite the 30° angle.

Fill in the blank. When a data value is converted to a standardized scale representing the number of standard deviations the data value lies from the mean, we call the new value a _____ . When a data value is converted to a standardized scale representing the number of standard deviations the data value lies from the mean, we call the new value a ____.

Answers

When a data value is converted to a standardized scale representing the number of standard deviations the data value lies from the mean, we call the new value a Z-Score.

In statistics, each mathematical formula and each element has an internationally recognised name. This is to ensure that everyone in the world understands what every researcher has to say in every letter. A statistic that tells the number of standard deviations a data value is above or below the mean is called a z-score. And its formula is, Z = (X − μ)/σ

where, μ--> population mean,

σ --> population standard deviation and

x --> the raw-score.

Hence, when a data value is converted to a standardized scale, new value, Z-Score is representing the number of standard deviations the data value lies from the mean.

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If an airplane travels at 5000 mph for 3.75 hours, what is the distance the airplane
travels in miles?

Answers

Answer:

18750 miles in 3.75 hours

Step-by-step explanation:

5000 x 3.75 = 18,750

Please help me


Use the story graph of each problem to fill in the blanks of the following sentence frames below.

In problem #1 the motion of the objects starts at ___ seconds and ends at ___ seconds.

The motion of the objects starts at ___ meters and ends at ___ meters.

The objects traveled ___ meters in ____ seconds.

In problem #2 the motion of the objects starts at ___ seconds and ends at ___ seconds.

The motion of the objects starts at ___ meters and ends at ___ meters.

The objects traveled ___ meters in ____ seconds.

Please help meUse the story graph of each problem to fill in the blanks of the following sentence frames

Answers

Step-by-step explanation:

just as the graph shows.

no trick or hidden meaning or whatever.

#1

0 seconds to 5 seconds.

0 meters to 3 meters.

traveled 3-0 = 3 meters in 5-0=5 seconds

#2

0 seconds to 8 seconds.

0 meters to 5 meters.

traveled 5-0=5 meters in 8-0=8 seconds.

Math- please helpppppp

Math- please helpppppp

Answers

Answer:

They are both correct.

Step-by-step explanation:

6c=72

We can divide by 6 on both sides and get

c=72/6

Answer:

both lori and jayden are correct

Step-by-step explanation:

first solve 72/6, you should get 12. Therefore c should be 12 since to get the number of cards in a pack you divide the total number of cards by the number of packs.
plug in 12 for the equation 6c=72

6x12 = 72 (6 being the number of packs and twelve the number of cards per pack).

The juice dispenser in the cafeteria holds 22 1/2 pints of juice. The glasses in the cafeteria only hold 1/4 of a pint of juice. How many full glasses can be served at breakfast?
a.89
b.4
c.44 1/4
d. 356

Answers

Answer:

are you sure there isn't a 90?

Step-by-step explanation:

Because  there are 4 quarters in a whole, so 22 x 4 = 88, and there are 2 quarters in 1/2 so it would be 88+2, which is 90.

The answer to the problem plz

The answer to the problem plz

Answers

B I think hope you do good

Please help me I need to finish this :)

Please help me I need to finish this :)

Answers

The correct answer for the problem above is A.

find the circumference and area of the circle round to the nearest whole number

find the circumference and area of the circle round to the nearest whole number

Answers

\(\begin{gathered} \text{Cir cumfrence = 126 ft} \\ \text{Area = 1257 ft}^2 \end{gathered}\)

Here, we want to find the circumfrence and area of the circle

To find either of this, we need the value of the radius of the circle

The radius of a circle is the distance btetween the center of the circle and the circumfrence of the circle. In this question, this distance is 20 ft

Mathematically, we can calculate the area with the formula;

\(\begin{gathered} A\text{ = }\pi\text{ }\times r^2 \\ A\text{ = }\frac{22}{7}\text{ }\times20^2 \\ \\ A\text{ = }\frac{22\text{ }\times\text{ 400}}{7} \\ \\ A\text{ = 1257.1429} \\ \\ A=1257ft^2\text{ to the nearest whole number} \end{gathered}\)

To calculate the circumfrence of the circle, we use the formula below;

\(\begin{gathered} C\text{ = 2 }\times\text{ }\pi\text{ }\times\text{ r} \\ \\ C\text{ = 2 }\times\text{ }\frac{22}{7}\text{ }\times\text{ 20} \\ \\ C\text{ = }\frac{880}{7} \\ \\ C\text{ = 125.71} \\ \\ C\text{ = 126 ft to the nearest whole number} \end{gathered}\)

1. The equations of demand and supply of a product are:120 p-q-240 = 0100p+q-1200 = 0 respectively.A. Find the equilibrium price

1. The equations of demand and supply of a product are:120 p-q-240 = 0100p+q-1200 = 0 respectively.A.

Answers

Datos:

Oferta:

\(120p-q-240=0\)

Demanda:

\(100p+q-1200=0\)

Para encontrar el precio de equilibrio iguala las ecuaciones de oferta y demanda:

\(120p-q-240=100p+q-1200\)

El precio de equilibrio lo encuentras resolviendo la ecuación arriba para p(precio):

1.

\(120p-240=100p-1200\)

2. Para dejar los terminos con la variable p de un lado de la ecuacion resta 100p en los dos lados de la ecuacion:

\(120p-100p-240=100p-100p-1200\)

what is .6239 as fraction?

Answers

Answer:

.6239 as a fraction is 6239/10000.

6239/100000

All you have to do is put the digits after the decimal over a number that is one place value larger

Which of the following rational functions is graphed below?

Which of the following rational functions is graphed below?

Answers

Answer:

F(x) = 1/x^2

Step-by-step explanation:

F(x) = 1/x^2 is

y = 1/x^2

graph goes up to 10 each side

plug in 1,2,3,4,5,6,7,8,9,10 for x and see what y looks like

when x is  1,2,3,4,5,6,7,8,9,10

y is 1,1/4,1/9,etc

Aj rums 400 yards every week. Aj walks 90 more yards than he runs. Which equation can be used to find x, the number of yards that Aj walks and runs each week

Answers

The equation that can be used to find x, the number of yards that Aj walks and runs each week is 2x = 400 + 90.

Let's assume that Aj runs x yards each week. Then, the number of yards that Aj walks each week would be (x + 90) yards, since he walks 90 more yards than he runs.

The total distance that Aj covers each week would be the sum of the distance that he runs and the distance that he walks, which is given as 400 yards.

So, we can write an equation as:

Distance covered by Aj = Distance that he runs + Distance that he walks

or,

400 = x + (x + 90)

Simplifying this equation gives:

2x = 400 + 90

Therefore, the equation that can be used to find x, the number of yards that Aj walks and runs each week is 2x = 400 + 90.

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Simplify: I3 - 6| - (12 ÷ 6 + 1)3

Simplify: I3 - 6| - (12 6 + 1)3

Answers

Solution

The question would like us to evaluate the following expression

\(|3-6\left|-(12\div6+1\right)^2\)

- We should deal with the modulus and bracket separately.

- After that, we can then perform the subtraction operation on the results of the modulus and bracket.

- This is done below:

\(\begin{gathered} |3-6|=|-3\left|\right? \\ |-3\left|\right?=3\text{ \lparen Because the modulus always returns a positive number\rparen} \end{gathered}\)

Also,

\(\begin{gathered} \lparen12\div6+1)^2 \\ By\text{ the rules of PEDMAS,} \\ Division\text{ comes before Addition, thus, we should perform the division operation first} \\ 12\div6=2 \\ \\ \lparen2+1)^2=3^2=9 \end{gathered}\)

Thus, combining both results, we have:

\(\begin{gathered} 3-9 \\ =-6 \end{gathered}\)

Final Answer

The answer is -6

Answer:

-6 hope it helps

thank you

The names of 11 boys and 9 girls from your class are put into a hat. What is the probability that the first two names chosen will both be girls?



Show work please and Thanks

Answers

Answer:

18/95

Step-by-step explanation:

There are a total of 20 names, 9 of which are girl names.

The probability that the first name is a girl name is 9/20.

Since there's one less girl name in the hat, there are now a total of 19 names, 8 of which are girl names.  So the probability that the second name is a girl name is 8/19.

The total probability is (9/20) (8/19) = 18/95.

The base of a hexagonal pyramid has an area of 82 square inches.The height of the pyramid is 9 inches.Find the volume of the pyramid.

Answers

The volume of the hexagonal pyramid is 246 inches squared.

How to find the volume of a pyramid?

The base of a hexagonal pyramid has an area of 82 square inches. The height of the pyramid is 9 inches.

Therefore, the volume of the pyramid can be found as follows:

Volume of a pyramid = 1 / 3 Bh

where

B = base areah = height of the pyramid

Therefore,

Volume of the pyramid = 1 / 3 × 82 × 9

Volume of the pyramid = 738 / 3

Volume of the pyramid = 246 inches³

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A 5 ft. tall person cast a shadow 8 ft. in length. The person is standing 32
ft. from a tree. How tall is the tree? *

Answers

Answer:

This question has insufficient information.  Assuming that the person is standing at the tip of the tree's shadow, then the tree would be  8/5 * 32 feet, or 256/5 feet, or 51.2 feet.

calculate the value of expression 2x squared - 3x + 1 if x equals to -2​

Answers

The value of expression is 15.

Define the term quadratic expression?

A quadratic equation is a mathematical expression of the second degree, in which the highest power of the variable is 2. An expression is a mathematical phrase that combines numbers, variables, and mathematical operations to represent a value or a set of values.

It takes the form of ax² + bx + c = 0, where a, b, and c are coefficients, and x is the variable.

Given equation is;

⇒ 2x² - 3x + 1

If  x = -2,​ then the solution of equation will be,

⇒ 2×(-2)² - 3×(-2) + 1

⇒ (2×4) + 6 + 1

⇒ 8 + 6 + 1

⇒ 15

Therefore, the value of expression 2x² - 3x + 1  if x = -2 is 15.

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when training a classifier, it is common to split the available data into a training set, a hold-out set, and a test set, each of which has a different role. which data set is used to learn the conditional probabilities?

Answers

When training a classifier, the training set is used to learn the conditional probabilities.

The training set is used to learn the conditional probabilities because the training set is used to train the classifier on the patterns and features in the data, which in turn helps the classifier to learn the conditional probabilities of the different classes in the data.

The hold-out set and test set are used to evaluate the performance of the classifier and ensure that it is not overfitting to the training set.

By evaluating the classifier on data that it has not seen before, we can get a more accurate estimate of its true performance and the probability of correctly classifying new data.

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suppose that wedding costs in the caribbean are normally distributed with a mean of $9000 and a standard deviation of $995. estimate the percentage of caribbean weddings that cost

Answers

Inferring from the provided mean and standard deviation that 15.62 percent of Caribbean weddings have a budget of less than $8,000 is our best guess.

To solve this problem

We can use the properties of the normal distribution.

Given:

Mean (μ) = $9000

Standard deviation (σ) = $995

Let's imagine we want to calculate the proportion of Caribbean weddings that are less expensive than X dollars.

We must use the following formula to determine X's z-score in order to determine this percentage:

z = (X - μ) / σ

Once we know the z-score, we may use a statistical calculator or the conventional normal distribution table to determine the corresponding cumulative probability.

Let's estimate the proportion of Caribbean weddings that cost less than $8000, for illustration.

z = ($8000 - $9000) / $995

z = -1.005

We may determine that the cumulative probability corresponding to z = -1.005 is roughly 0.1562 using the usual normal distribution table.

To convert this into a percentage, we multiply by 100:

Percentage = 0.1562 * 100

Percentage ≈ 15.62%

Therefore, Inferring from the provided mean and standard deviation that 15.62 percent of Caribbean weddings have a budget of less than $8,000 is our best guess.

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Julie takes her kids to a playground that has the shape shown. A. While her kids are playing, Julie wants to get some exercise. If she does 2 laps around the playground, how much distance has she covered? B. The park service is creating a flyer for the playground and wants to list the area that the playground covers. How much area does the playground cover?

Answers

Answer:

a.) Total distance Julie cover = 128 feet

b.) Total area , the playground cover = 256 ft²

Step-by-step explanation:

P. S : The exact question is -

As given,

Length of 1 side = 16 feet

As , we have

4 sides of same length

⇒ Total length of playground = 16 + 16 + 16 + 16 = 16(4) = 64 feet

a.)

As given Julie does 2 lap of the playground

⇒ Total distance Julie cover = 64 + 64 = 128 feet

b.)

As the playground has equal side, so it must be of square shape

And, we know

Area of square = (Length of one side)²

                        = ( 16 )² = 256 ft²

∴ we get

Total area , the playground cover = 256 ft²

 Julie takes her kids to a playground that has the shape shown. A. While her kids are playing, Julie

Marking the brainlist answer! “Yeah, I’m gonna take my horse to the old town road.” complex, compound, or simple? What is the dependent and independent clauses?

Answers

Answer:

It is complex and and i think dependent clause

Step-by-step explanation:

Find x, y, and z if (3 x 5)^4 x (2 x 3)^5 x (2 x 5)^7 = 2x x 3y x 5z.
x=
y=
z=

p.s. the answer is not x=30 y=10 z=14.
please help.

Answers

To find the values of x, y, and z in the equation (3 x 5)^4 x (2 x 3)^5 x (2 x 5)^7 = 2x x 3y x 5z, we need to examine the prime factorization of each side of the equation and equate the exponents of the prime factors.

Let's break down both sides of the equation and examine the prime factorization of each term.

On the left side:

(3 x 5)^4 = 3^4 x 5^4 = 81 x 625

(2 x 3)^5 = 2^5 x 3^5 = 32 x 243

(2 x 5)^7 = 2^7 x 5^7 = 128 x 78125

Combining the terms on the left side, we have:

81 x 625 x 32 x 243 x 128 x 78125

On the right side:

2x x 3y x 5z

By comparing the exponents of the prime factors on both sides, we can set up the following equations:

For the prime factor 2:

4 = 1x

The only value of x that satisfies this equation is x = 4.

For the prime factor 3:

5 = y

The value of y is y = 5.

For the prime factor 5:

7 = z

The value of z is z = 7.

Therefore, the correct values for x, y, and z in the equation are x = 4, y = 5, and z = 7.

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