Find the distance between the points. (-7, -2) (13,23) Pythagorean theorem

Answers

Answer 1

\(~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-7}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{13}~,~\stackrel{y_2}{23})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{(~~13 - (-7)~~)^2 + (~~23 - (-2)~~)^2} \implies d=\sqrt{(13 +7)^2 + (23 +2)^2} \\\\\\ d=\sqrt{( 20 )^2 + ( 25 )^2} \implies d=\sqrt{ 400 + 625 } \implies d=\sqrt{ 1025 }\implies d\approx 32.02\)


Related Questions

LOOK AT THE PICTURE!! I REALLY NEED HELP SOMEONE PLEASE HELP ME OUT

LOOK AT THE PICTURE!! I REALLY NEED HELP SOMEONE PLEASE HELP ME OUT

Answers

Answer: B

Step-by-step explanation: Hope this help :D

Marco’s Pizzeria is having a special: 5 pizzas for $25. What is the unit price?

Answers

The unit price would be $5 per pizza

Answer:

The unit price would be $5 per pizza

Step-by-step explanation:

46. Hannah walks dogs for four different families. She charges each family the same

amount of money per hour. The numbers of hours she worked last week walking

dogs for each of the families are shown.

14 hours, 2 hours, 13 hours

, 3 hours

Hannah earned $93 for the hours she worked last week walking dogs.

• Calculate the amount of money Hannah earns per hour for walking dogs

• Write an equation that can be used to determine the amount of money, m, in

dollars, Hannah earns when she works h hours walking dogs.

• Show your work or explain your answer.

Answers

Answer:

Hannah earns $2.9 per hour for walking dogsThe equation is m = $2.9h

Step-by-step explanation:

From the question,

Hannah walks dogs for four different families and charges them the same amount of money per hour. Also, The numbers of hours she worked last week for each of the families are 14hours, 2 hours, 13 hours, and 3 hours.

Hence, she worked for a total of (14 + 2 + 13 + 3) hours.

(14 + 2 + 13 + 3) hours = 32 hours

Hence, she worked for a total of 32 hours last week.

Also, she earned $93 for the hours she worked last week

To calculate the amount of money Hannah earns per hour for walking dogs, that will be

$93 ÷ 32 hours = $2.9/hour

Hence, Hannah earns $2.9 per hour for walking dogs

For the equation that can be used to determine the amount of money, m, Hannah earns when she works h hours walking dogs,

If she works h hours for working dogs, then she will earn

$2.9 × h = $2.9h

Hence,

m = $2.9h

Where m is the amount of money Hannah earns in dollars

and h is the number of hours she spends walking dogs.

You have a six-sided dice and a quarter. What is the probability the coin will land on heads and the dice
lands on a number less than 5?
LIBERTY

Answers

1/2x5/6= 5/12 is your answer. Have a good day

Negative and positive makes​

Answers

Answer:

a negative times a positive makes a negative

Step-by-step explanation:

using the pay rates shown determine the amonut of money each employee earns for 15 hours of work

Answers

Answer:

What is the payrate?

Step-by-step explanation:

bhurasi got 85%marks in s.l.c. examination if the total marks was 800,how many marks did she obtain​

Answers

Answer:

680

Step-by-step explanation:

total percent=85%

total marks=800

obtain marks = total percent % 100 mutiply by total marks

What is the probability of picking a 5 and then picking a 2

Answers

Answer:

I cannot answer this question because it is not complete. Please use complete sentences and questions.

Larry is 72 inches tall. This is 50 inches than two times Mindy's height. What it Mindy's height

Answers

Answer:

Let's understand the concept:-Here to find Mindy's height we need to take his age as x Then solve according to the question Solution:-

Let Mindy's height=x

According to the question

Larry's height=2×x+50=2x+50

ATQ,

\({:}\longmapsto \)\(\sf 2x+50=72 \)

Now take 50 to the other side

\({:}\longmapsto \)\(\sf 2x=72-50 \)

Simplify

\({:}\longmapsto \)\(\sf 2x=22 \)

\({:}\longmapsto \)\(\sf x={\dfrac {22}{2}}\)

\({:}\longmapsto \)\(\sf x=11\)

\(\therefore\)\(\sf Mindy's \:Height \:is \;11 cm.\)

In the diagram below of triangle LMN, O is the midpoint of LN and P is the midpoint of MN. If OP = 31 - 2x, and LM = 38 + 4x, what is the measure of LM?

Answer: LM= ?

In the diagram below of triangle LMN, O is the midpoint of LN and P is the midpoint of MN. If OP = 31

Answers

If O is the midpoint of LN and P is the midpoint of MN and if OP = 31 - 2x, and LM = 38 + 4x, then the measure of LM = 88

As per the question statement, Triangle LMN where O is the midpoint of LN and P is the midpoint of MN and if OP = 31 - 2x, and LM = 38 + 4x, we are supposed to find the measure of LM.

As O is the mid point of LN and P is the midpoint of OP the using the Mid point theorem, we can say that in Triangle LMN

\(OP=\frac{LM}{2}\)

Substituting values,

\(31-2x=\frac{38+4x}{2} \\2(31-2x)=38+4x\\62-4x=38+4x \\8x = 100\\x=12.5\)

LM =  38 + 4x

\(LM = 38 + 4(12.5)\\LM=38 + 50\\LM=88\)

Hence value of LM is 88

This question is a classic example of how to solve linear equations.

Linear equations: Linear equations are a combination of constants and variables where the value of variable is calculated using mathematical operations.

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Find the surface area of the cylinder below. Round your answer to two decimal places.

Find the surface area of the cylinder below. Round your answer to two decimal places.

Answers

Answer:

728.85

Step-by-step explanation:

Surface area of a cylinder equation: A = 2πrh+2πr²

A = (2π(4)(25))+(2π(4²))

A = 728.85cm³

Your cousin’s birthday is this weekend. You want to buy a CD that costs $12.99 and a birthday card that costs $2.50. You have saved $25. Write an inequality to find the most money you have for other spending.

Answers

Answer:

None

Step-by-step explanation:

It would be easier to ask your teacher instead of getting wrong answers from random people. Ever think of that :0

(Q2) The set of line segments _____ meet the requirements to form a triangle.8 cm4 cm3 cm

Answers

To form a triangle, the set of line segments must satisfy the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Therefore, we need to check if the given line segments 8 cm, 4 cm, and 3 cm meet this requirement.

We can start by checking if the sum of the two smaller sides (3 cm and 4 cm) is greater than the largest side (8 cm). 3 cm + 4 cm = 7 cm, which is less than 8 cm. Therefore, these three line segments cannot form a triangle.

In general, for a set of line segments to form a triangle, the largest side must be smaller than the sum of the other two sides. In this case, the line segment of 8 cm is too long compared to the other two sides, which makes it impossible to form a triangle.

In conclusion, there are no line segments that meet the requirements to form a triangle with lengths of 8 cm, 4 cm, and 3 cm.

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solve for x
x+19 7x+9

solve for x x+19 7x+9

Answers

X= 19
Hope this helps

Good luck

Lmk for explanation :)

(a) let f(t) = a(bt), with f(−1) = 1/2 and f(2) = 108. find the values of aand b.

Answers

let f(t) = a(b^t), with f(−1) = 1/2 and f(2) = 108. find the values of a and b.

let f(t) = a(b^t), with f(−1) = 1/2 and f(2) = 108. We have to find the values of a and b.The function f(t) = a(b^t) is of the form exponential functions.

Exponential functions: The exponential function is of the form y = ab^x. The base b must be greater than zero but cannot be equal to 1. The exponential function is a one-to-one function, which means that it passes the horizontal line test. Therefore, it has an inverse function.a. Finding the value of a. Using the value of f(−1) = 1/2, we get

a(b^−1) = 1/2

a/b = 1/2 .............(1)

Using the value of f(2) = 108, we get

a(b^2) = 108

a(b^2) = 2^2 * 3^3 ..........(2)

Dividing equation (2) by equation (1), we get

b^3 = 2^3 * 3^3

b = 2 * 3

b = 6

Plugging the value of b = 6 in equation (1), we get a/6 = 1/2 => a = 3

Therefore, the values of a and b are a = 3 and b = 6.

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6) consider a sample with data values of 12, 17, 10, 16, and 20. compute the z-scores for the dataset.

Answers

The z-scores for the given data set are: -1.087, 0.729, -1.608, 0.367, and 1.366.

To compute the z-scores for the given data set, follow these steps:

1. Calculate the mean of the data set. This is done by adding up all the values and then dividing the sum by the number of values:

Mean = (12 + 17 + 10 + 16 + 20) / 5 = 15

2. Calculate the standard deviation of the data set. This is done by taking the square root of the sum of the squared differences between each value and the mean, divided by one less than the number of values:

Standard Deviation = sqrt( ( (12 - 15)^2 + (17 - 15)^2 + (10 - 15)^2 + (16 - 15)^2 + (20 - 15)^2) / (5 - 1) ) = 2.7386

3. Finally, calculate the z-scores for each value. This is done by subtracting the mean from the value and dividing by the standard deviation:
z-score for 12: (12 - 15) / 2.7386 = -1.087

z-score for 17:
(17 - 15) / 2.7386 = 0.729

z-score for 10:
(10 - 15) / 2.7386 = -1.608

z-score for 16:
(16 - 15) / 2.7386 = 0.367

z-score for 20:
(20 - 15) / 2.7386 = 1.366

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Factor the following polynomial completely. -x^2y^2+x^4+4y^2-4c^2

Answers

Answer: -(x - 2)(x + 2)(y - x)(y + x)

Step-by-step explanation:

Factor the following polynomial completely.

-x2y2 + x4 + 4y2 - 4x2

I assume the polynomial is as follows:

-x^2y^2 + x^4 + 4y^2 - 4x^2

Therefore:

-(x - 2)(x + 2)(y - x)(y + x)

Which expression represents the volume, in cubic units, of the frustum? one-thirdπ(7.52)(11) – one-thirdπ(3.52)(8) one-thirdπ(7.52)(11) one-thirdπ(3.52)(8) one-thirdπ(7.52)(19) – one-thirdπ(3.52)(8) one-thirdπ(7.52)(19) one-thirdπ(3.52)(8)

Answers

The expression that represents the volume of the frustum, Volume of larger cone - volume of smaller cone, is: C. ⅓π(7.5²)(19) - ⅓π(3.5²)(8) .

What is the Volume of a Frustum?

Volume of a frustum = Volume of larger cone - volume of smaller cone = ⅓π(R²)(H) - ⅓π(r²)(h)

Given the cone in the digram below with the following parameters:

R = 7.5 units

H = 8 + 11 = 19 units

r = 3.5 units

h = 8 units

Volume of the frustum = ⅓π(7.5²)(19) - ⅓π(3.5²)(8)

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Which expression represents the volume, in cubic units, of the frustum? one-third(7.52)(11) one-third(3.52)(8)

Answer:

C. Edge

Step-by-step explanation:

Decrease £110 by 10%

Answers

not sure of this, but this is what i found
Decrease 110 by 10%

Which of the following can be simplified?
square root of 80
square root of 26
square root of 19
square root of 10

Answers

Answer:

square root of 26

Step-by-step explanation:

7/12 x 4x3 =? I need help

Answers

Cyphon, this is the solution:

We have to multiply the following fractions:

7/12 * 4/3

7 * 4 / 12 * 3

28/36

Simplifying, we have:

7/9 (Dividing by 4 numerator and denominator)

We have to add the following fractions:

- 1/2 + 4/9

Let's find the lowest common denominator between 2 and 9, as follows:

2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22

9, 18, 27, 36

The lowest common denominator is 18



Sketch three planes that intersect in a line.

Answers

To sketch three planes that intersect in a line, we can visualize a scenario where the planes intersect each other at a common line.

Here's a description of how we can draw these intersecting planes:

Start by drawing a horizontal line segment. This will represent the line of intersection for the three planes.

Draw a plane above the line segment, inclined at an angle. This plane can be represented by a rectangle or a parallelogram shape. Make sure that the line segment lies within this plane.

Next, draw a plane below the line segment, inclined at a different angle from the first plane. Again, this plane should intersect the line segment.

Lastly, draw a third plane that intersects the line segment at an angle different from the first two planes. This plane can be represented by another rectangle or parallelogram shape.

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Sketch three planes that intersect in a line.

What is 6.273 rounded to the nearest thousandths?

Answers

Answer:

6.270

Step-by-step explanation:

3 is below 5 so you just turn it into a 0. If it was 5 or above you would just add a number to the 7.

jamal goes out for a coffee and a cake with his three friends. He has only £15.00 on him. He bought 4 coffees at £1.85 each and 4 identical cakes. The barista gave Jamal £2.20 change. Will Jamal’s change be enough to buy him 2 more cakes to take home to his mum and dad?

Answers

No he won’t . He starts with $15 .. you subtract $1.85 from 15 ( 4 times ) should get you to $7.6 thenn you subtract $2.20 from $7.6 ( 4 times ) which would get you to a negative so no he will not

A solid composed of a right cylinder and two cones is shown. Find the volume rounded to the nearest tenth. Use 3.14 for pi.

A solid composed of a right cylinder and two cones is shown. Find the volume rounded to the nearest tenth.

Answers

Answer:

1361.36

Step-by-step explanation:

942.48+261.8+157.08

Cylinder: V=πr^2h=π·52·12≈942.4778

Left Cone:V=πr^2 h/3=π·52·10/3 ≈261.79939

Right Cone: V=πr^2 h/3=π·52·6/3

≈157.07963

Add all three amounts

Answer:It's 1361.4

Step-by-step explanation: the cylinder is 942.5 cm and the first cone is 261.7 cm and the last cone is 157. Then added up is 1361.4 cm as the total.

There are 7 books on the floor. The number of books on the shelf is 2 more than 3 times the number of books on the floor.

How many books are on the shelf?

please help

Answers

Answer:

the answer is 23

A follow-up question will appear once you have correctly answered the ques Since p(-1)=0, write p(x) in the form p(x)=(x+1)q(x).

Answers

The polynomial p(x) in the form p(x) = (x+1)q(x), where q(x) is a polynomial of degree n-1.

Algebraic expressions called polynomials include coefficients and variables. Indeterminates are another name for variables. For polynomial expressions, we can do mathematical operations like addition, subtraction, multiplication, and positive integer exponents but not division by variables.

x2+x-12 is an illustration of a polynomial with a single variable. There are three terms in this example: x2, x, and -12.

Since we know that p(-1)=0, we can use this information to substitute -1 into p(x), giving us:

p(-1) = 0

We can then rearrange this equation to get:

0 = p(-1) = (x+1)q(x)  

This gives us the form of p(x) that we are looking for:

p(x) = (x+1)q(x)

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.If a galapagos tortoise lives for an average of 180 years how many years. How many years in total will be accumulated for 8 tortoises of the same age

Answers

If a Galapagos tortoise lives for an average of 180 years, then eight of them would live for a total of 180 years x 8 tortoises = 1,440 years.

This means that if you had a group of eight Galapagos tortoises, all born at the same time, they would live for a combined total of 1,440 years.

However, it's important to note that individual tortoises may live longer or shorter than the average lifespan, so this is just an estimate.
Galapagos tortoises are known for their longevity and can live for well over 100 years in the wild.

They have a slow metabolism and are able to go for long periods of time without food or water, which helps them survive in their arid island environment.
Overall, if you're interested in learning more about these fascinating creatures, there are many resources available online and in books that can provide you with more information about their biology, behavior, and conservation status.

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whats 72/20 as a proper fraction... im lazy.

Answers

Answer: 72/20 = 3 3/5

Step-by-step explanation:

..........

i turned it into a mixed number, is that what ur looking for?
Answer is boxed and my work is below it:
whats 72/20 as a proper fraction... im lazy.

use the holt's method with smoothing constants of 0.3 for alpha and 0.6 for gamma. find the equation of the forecast line and the mse for this method. if required, round your answers to two decimal places.

Answers

To use Holt's method with smoothing constants of 0.3 for alpha and 0.6 for gamma, we first need to calculate the initial values for the level and slope.

Let L0 be the initial level and B0 be the initial slope. We can estimate these using the following equations:

L0 = y1

B0 = y2 - y1

where y1 and y2 are the first two observed values in the time series.

Once we have the initial values, we can use the following recursive equations to calculate the level and slope at each time period t:

Lt = alpha * yt + (1 - alpha) * (Lt-1 + Bt-1)
Bt = gamma * (Lt - Lt-1) + (1 - gamma) * Bt-1

where yt is the observed value at time t.

Using these equations and the given smoothing constants, we can find the equation of the forecast line as:

Ft+1 = Lt + Bt

and the mean squared error (MSE) as:

MSE = (1 / n) * sum((yt - Ft)^2)

where n is the number of observed values.

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