Find the distance between each pair of points.
(21,5) and (28,-1)

Answers

Answer 1

Answer:

9.22 units (3 s.f.)

Step-by-step explanation:

The distance between a pair of points can be found using the distance formula shown below, where [tex](x_1, y_1)[/tex] is the 1st coordinate and [tex](x_2,y_2)[/tex] is the 2nd coordinate.

[tex]\boxed{{\text{Distance between 2 points}= \sqrt{(y_1 - y_2)^{2} + (x_1 - x_2)^{2} } }}[/tex]

Substituting the coordinates into the formula:

Distance between (21, 5) and (28, -1)

= [tex]\sqrt{(-1-5)^{2} + (28-21)^{2} } }}[/tex]

= [tex]\sqrt{(-6)^2+7^2}[/tex]

= [tex]\sqrt{85}[/tex]

= 9.22 units (3 s.f.)

Additional:

For a similar question on the distance between two points, check out: https://brainly.com/question/24451330


Related Questions

Write the definition of an absolute number.

Please write a good thought out answer !!
NO LINKSSSSSS.

Answers

Answer:

An absolute number is a number that is represents a distance from 0. An absolute number is always positive since the distance between two number is always positive.

Step-by-step explanation:

Evaluate.
(-8)¹ =
What is it

Answers

Answer:

-8

Step-by-step explanation:

Any number raised to the power 1 is that number itself

So (-8)⁻¹ = -8

The area of the playing surface at the Olympics stadium in Beijing is 3/5 of a hectare. What area will it occupy on a plan drawn to a scale of 1:500

Answers

The area that occupies on a plan drawn to the given scale is 0.024 m²

Given,

The area of the playing surface at the Olympics stadium in Beijing = 3/5 hectare

The scale factor on a plan drawn = 1:500

We have to find the area that occupies on a plan drawn to the given scale:

Applied to the area we consider k² as the area is the product of two dimensions.

So, k = 1/500

Now the area on plan:

a : k² = actual area

a : (1/500)² = (3/5) × 10000

a : (1/250000) = 3 × 2000

a × 250000 = 6000

a = 6000 / 250000

a = 0.024 m²

That is, the area that occupies on a plan drawn to the given scale is 0.024 m²

Learn more about area here:

https://brainly.com/question/24386685

#SPJ1

what is 6(2-7v)+2(v+4)=20

Answers

Answer:

v= 0

6(2-0)+2(4)=20 is the simplified version of the equation.

HELP ASAPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Help…………………………….nnnnnnnnnnnnnnnn

Point B (3,1) is translated 2 units to the right and 1 unit up. What is the coordinates of B'?

Answers

If Point B [tex](3,1)[/tex] has translated 2 units to the right and 1 unit up, new coordinates of point B' are [tex](5,2)[/tex]

As per the question statement, Point B [tex](3,1)[/tex] is there on a cartesian plane. Point B is translated 2 units to the right and 1 unit up.

Before solving this question, we need to know about cartesian plane system in which, there are four quadrants which are made using positive and negative axes known as positive X and negative X (same for Y axis).

Now point B[tex](3,1)[/tex] lies in the first quadrant and value "3" describes the location of point on X axis and value "1" describes the location of point on Y axis.

If point B [tex](3,1)[/tex] is translated 2 units to the right and 1 unit up, the locations of X and Y axes will change to value "5" on X axis and value "2" on Y axis.

Hence the coordinates of point B' are [tex](5,2)[/tex]

Cartesian Plane: The x-axis and y-axis intersect to form the two-dimensional coordinate plane known as the cartesian plane in mathematics. The origin is the point at which the x- and y-axes cross perpendicularly.

To learn more about cartesian plane and coordinate geometry, click on the link given below:

https://brainly.com/question/25435002

#SPJ9

Solve for x. (5x + 6)(3x - 6) = 0

Answers

The value of the given quadratic equation are = x = -(6/5) , x = 2

What is quadratic simple?

Quadratics are polynomial equations of the second degree, which means they have at least one squared term. It is also known as quadratic equations. The quadratic equation has the general form: ax2 + bx + c = 0.

So, how are quadratic functions significant?

Quadratic functions occupy a distinctive place in the school curriculum. They are functions whose values are easily estimated from input values, therefore they are a modest improvement over linear functions and provide a major shift away from attachment to straight lines.

According to the given information:

Given (5x + 6)(3x - 6) = 0

Using the zero factor principle: if ab = 0 then a = 0 and b = 0

So,

(5x + 6) = 0 or (3x - 6) = 0

for the (5x + 6):

(5x + 6) = 0 (subtracting both side by 6)

5x + 6 - 6 = 0- 6

so, x = -(6/5)

Same calculation for (3x - 6) = 0 we get x = 2

The value of the given quadratic equation are = x = -(6/5) , x = 2

To know more about quadratic equation visit:

https://brainly.com/question/1863222

#SPJ9

Can someone please help I will be giving Brainliest to whoever can answer :)
Match the questions with the graphs that are labeled A-H. (keep in mind that some questions might have the same answer)

6. x^2- 3x ≥ 0


7. x^2- 3x + 2 ≤ 0


8. {(x, y): y ≤ 1 - x^2} and {(x, y): y ≥ -1}

Answers

The inequalities are matched with their correct graph respectively as follows:

D ⇒ {(x, y): y > x²}.G ⇒ {(x, y): y ≥ x²+ 3C ⇒ {(x, y): y ≤ 3x² + 2}A ⇒ {(x, y): y ≥ 2x² - 5x + 1}J ⇒ x²- 3x ≥ 0H ⇒ x² - 3x + 2 ≤ 0B ⇒ {(x, y): y ≤ 1 - x²} B ⇒ {(x, y): y ≥ -1}

What is a graph?

A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.

What is an inequality?

An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following arguments:

Less than (<).Greater than (>).Less than or equal to (≤).Greater than or equal to (≥).

In Geometry, if the leading coefficient of a quadratic equation is greater than (>) zero, the parabolic curve would open upward while the parabolic curve would open downward when the leading coefficient of a quadratic equation is less than (<) zero.

Read more on graph of inequalities here: https://brainly.com/question/24372553

#SPJ1

Complete Question:

Match the questions with the graphs that are labeled A-H. (keep in mind that some questions might have the same answer)

1. A = {(x, y): y > x^2}

2. B = {(x, y): y ≥ x^2+ 3}

3. C = {(x, y): y ≤ 3x^2 + 2}

4. D = {(x, y): y ≥ 2x^2- 5x + 1}

6. x^2- 3x ≥ 0

7. x^2- 3x + 2 ≤ 0

8. {(x, y): y ≤ 1 - x^2}

9. {(x, y): y ≥ -1}

Find the value of k such that a is singular. (enter your answers as a comma-separated list.) 0 k 1 k 5 k 1 k 0

Answers

The value of k  such that a is singular is ±√(5/2).

What do you mean by the term singular?

If a singular matrix's determinant is 0, it is a square matrix. Specifically, if and only if det A = 0, a square matrix A is unique. We are aware that the formula A-1 = (adj A) / can be used to get the inverse of a matrix A. Here, the denominator contains det A, which is the determinant of A. We are aware that a fraction with a denominator of 0 is not defined. Since det A = 0, A-1 is not defined. In other words, a single matrix's inverse is not defined. That is to say, there isn't a matrix B such that AB = BA = I.

A singular matrix means that the detA should be 0.

To learn more about singular matrix, Visit:

https://brainly.com/question/11350165

#SPJ4

Help!!!
12. Sam's salary was $42,000 in 1998 and $53,600 in 2002. If Sam's salary follows a linear growth pattern,what
will it be in 2007? Let G represent the growth and express G as a function.

Answers

57,000 is something like the answer

when $555 {10}$ is expressed in this base, it has 4 digits, in the form abab, where a and b are two different digits. what base is it?

Answers

In some base [tex]B[/tex], we have

[tex]abab_B \equiv 555_{10}[/tex]

so that

[tex]aB^3 + bB^2 + aB + b = 555[/tex]

Factorize the left side.

[tex]aB (B^2 + 1) + b (B^2 + 1) = 555[/tex]

[tex](aB + b) (B^2 + 1) = 555[/tex]

Now, [tex]B[/tex] is a positive integer greater than 1, and [tex]a,b[/tex] are positive integers taken from [tex]\{0,1,2,\ldots,B-1\}[/tex]. So consider the prime factorization of 555 on the right side.

[tex](aB + b) (B^2 + 1) = 3\times5\times37[/tex]

which we can write as

[tex](aB + b) (B^2 + 1) = 15\times(6^2 + 1) = (2\times6 + 3) \times (6^2+1)[/tex]

and so the base is 6, and the number in question is 2323₆.

Boca Grande Causeway in Florida is about 1 4/9 times as long as the Golden Gate Bridge in San Francisco the Golden Gate Bridge is about 9000 ft about how long is the Boca Grande Causeway ​

Answers

Answer:

Step-by-step explanation:

A group of friends wants to go to the amusement park. they have $69.75 to spend on parking and admission. parking is $17.25, and tickets cost $17.50 per person, including tax. write an equation which can be used to determine p, the number of people who can go to the amusement park.

Answers

Equation and solution of equation :

17.25 + p(17.50) = 69.75

17.25 + 17.50p = 69.75

17.50x = 69.75 - 17.25

17.50p = 52.50

p = 52.50/17.50

p = 3

So three people can go to the amusement park (assuming that they are all travelling together in the same car).

The equation that represents the number of people who can go to the amusement park will be 17.50p + 17.25 = 69.75.

What is a linear equation?

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

A group of friends wants to go to the amusement park. they have $69.75 to spend on parking and admission. Parking is $17.25, and tickets cost $17.50 per person, including tax.

Let p be the number of people. Then the equation is given as,

17.50p + 17.25 = 69.75

The equation that represents the number of people who can go to the amusement park will be 17.50p + 17.25 = 69.75.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

pls do this pls pls pls pls pls pls

Answers

Answer:

See below

Step-by-step explanation:

The most important info is the rate ft^2 / min and how many minutes it took to mow.

From this, we need to know how much total area there is. We do this by multiplying the rate by the time.

[tex] \frac{ 4{ft}^{2} }{minute} \times 29minutes = 116 {ft}^{2} [/tex]

Then we need to write out the sum of the whole area in terms of length times width

[tex]6ft \times 14 ft + x \times 4ft = 116 {ft}^{2} [/tex]

Notice how we put x for the unknown variable, this turns it into an easy peasy algebra problem. I leave that to you, solve for x

One pygmy shrew weighs 3 3/18 ounces, and another weighs 4 4/7 ounces. Estimate the total weight.
O about 8 1/2
O about 7 1/2
O about 9 ounces
O about 7 ounces

Answers

Answer:  about 7 1/2  (choice B)

==============================================

Reason:

It might help to draw a number line for this.

3/18 is closer to 0 than it is to 1/2 = 9/18, so the mixed number 3 & 3/18 rounds to 3 when rounding to the nearest half.

4/7 is closer to 1/2 = 4/8 than it is to either 0 or 1, so 4 & 4/7 rounds to 4 & 1/2 when rounding to the nearest half.

Adding 3 to 4 & 1/2 gets 7 & 1/2 since we add the whole parts 3+4 = 7, and the fractional part stays as it is.

-----------

Check:

(3 + 3/18) + (4 + 4/7) = 7.738 approximately

7 + 1/2 = 7.5 exactly

The two results aren't too far off. The estimate of 7 & 1/2 is an underestimate.

Answer:

About 7 1/2 ounces

Step-by-step explanation:

Add your whole numbers first, 3 + 4 = 7

Now the fractions:

3/18 = 1/6

Estimate 4/7 + 1/6, the answer is somewhere between 1/2 and 1 whole. Therefore the answer is about 7 1/2

Check:

3/18 × 7/7 = 21/126

4/7 × 18/18 = 72/126

21/126 + 72/126 = 93/126

The actual answer is 7 31/42, so the closest answer is 7 1/2

Find the area of a triangle with a base
of 10m and a height of 12m.
Area: 12(bxh)

Answers

Answer:

60

Step-by-step explanation:

1/2(b×h)

1/2(10×12)

1×5×12

60

You have a balance of 213.15 in a savings account you make withdrawals of 69.94 and 129.36 find ur new balance SOMEONE PLEASE HELP

Answers

Unsure of what the problem is but 213.15-69.94 is not 129.36

if h(x)=x2-x find h(3)

Answers

Answer:

h(3) = 1

Step-by-step explanation:

[tex]h\left(3\right)=\left(3\right)\cdot \:2-3\\h\left(3\right)=3\cdot \:2-3\\h\left(3\right)=6-3\\h\left(3\right)=3[/tex]

Divide

[tex]\frac{h\cdot \:3}{3}=\frac{3}{3}\\h=1[/tex]

Pearce needs to choose a variable to represent the number of wallabies in an exhibit. Which variable would be the best choice? Explain.

Answers

The variable that would be the best choice when Pearce needs to choose a variable to represent the number of wallabies in an exhibit will be D. let w= the number of wallabies on the exhibit.

What is a variable?

It should be noted that a variable simply means a symbol that's used to represent a situation in mathematics.

In this case, the variable that would be the best choice when Pearce needs to choose a variable to represent the number of wallabies in an exhibit so be let w= the number of wallabies on the exhibit.

This is because of the first alphabet used which is w.

Learn more about variables on:

brainly.com/question/25223322

#SPJ1

Find the value of x
file attatched*

x=9
x=15
x=41
x=77​

Answers

Answer:

find the value of x file attached x9

5. A group of friends are running a
relay race that covers 31 miles. If
each person runs+mile, how
many runners are there?

Answers

Answer: 8 runners

Step-by-step explanation:

If you mean that " if each person runs one more mile than the previous runner" then:

First person = 1

Second person = 1+1

.....

(1)+(1+1)+(1+1+1)+(1+1+1+1)+(1+1+1+1+1)+(1+1+1+1+1+1)+(1+1+1+1+1+1+1)+(1+1+1)

1  +   2 +    3    +     4      +       5       +         6        +            7         +    3  =31

(the last runner runs less miles then needed)

8 runners

What does 60 - r represent? What are the units associated with 6(60-r)?

Answers

Answer:

360 - 6r

Step-by-step explanation:

just simplify the expression

In the 1960 Olympics, Wilma Rudolph of the United States won the women's 100 meter run in 11.0 seconds. In 1988, Florence Griffith-Joyner, also of th
United States, won with a time of 10.49 seconds, which is still the fastest women's time to this date. Find the percent of decrease in the winning time.
Round to the nearest tenth.

Answers

Step-by-step explanation:

no lo se,no hablo ingles..........

to test a hypothesis about a given variable, experimental and control groups are tested in parallel. which of the following best explains the dual experiments?

Answers

The Option A best explains the dual experiments: "In the experimental group, a chosen variable is altered in a known way. In the control group, that chosen variable is not altered so a comparison can be made."

What is experimental design?The process of deciding which variables to use in an experiment to test a particular hypothesis is called experimental design. To properly collect data and evaluate the hypothesis, the experimental design method is used.

Now,

A specified variable is changed in the experimental group in a well-known fashion. That selected variable is left unaltered in the control group so that comparisons can be conducted. Control variables are variables that are utilized in an experiment to serve as a baseline against which the data from the experimental variables are gathered and evaluated (which is why the other answers are incorrect). In the experimental group, it is advisable to modify just one variable at a time so that any differences from the control group may be quickly linked to the one variable that was altered.

Hence, amongst all the given options, The Option A best explains the dual experiments: "In the experimental group, a chosen variable is altered in a known way. In the control group, that chosen variable is not altered so a comparison can be made."

To learn more about experimental design, refer to the link:https://brainly.com/question/17274244

#SPJ4

7. Allan ate 28 jelly beans. Alexis ate 75% of the amount that Allan ate. How many Jelly beans did Alexis eat?​

Answers

Answer:

21

Step-by-step explanation:

.75 x 28 = 21

He ate 21 jelly beans
75% of 28= 21

Seleccione todas las que correspondan
¿Qué enunciados describen el movimiento en la imagen?

A. El hombre no está en movimiento con respecto a la boya.

B. El barco está en movimiento con respecto a la boya.

C. El hombre está en movimiento en relación con el barco.

D.El hombre no está en movimiento con respecto al bote.

C. El hombre no se mueve en relación con la caña de pescar.

Answers

B c porque tiene mucho en commmon y mucho que mostara

Lo ciento, pero yo no se mucho Espanol por que yo soy negro y boricua pero mas negro asi que yo nunca aprendió.

Yo esperar una persona quien es muy mejor a Espanol pueda ayudarte! Adios.

(Yo solo escribio ese para la premio!)

I need help with 18 and 22 thx

Answers

The proportional relationships for these problems are given as follows:

18. y = 0.5x, with constant k = 0.5.

22. y = -0.4x, with constant k = -0.4.

What is a proportional relationship?

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

In item 18, we have that when x = 2, y = 1, hence the constant is:

k = y/x = 1/2 = 0.5.

Hence the equation is:

y = 0.5x.

In item 22, we have that when x = -5, y = 2, hence the constant is:

k = y/x = -2/5 = -0.4.

Hence the equation is:

y = -0.4x.

More can be learned about proportional relationships at https://brainly.com/question/10424180

#SPJ1

A, B, and C are the centers of the 3 circles. How many
equilateral triangles are there in this diagram?

Answers

5 equilateral triangles.
Hope this helps.

Convert 3.9 yards to inches.

Answers

Answer:

140.4 inches

Step-by-step explanation:

there are 36 inches in a yard

3.9 times 36 is 140.4

Hope It Helps

Sorry If I'm Wrong

3.9 yards is equal to 140.4 inches.

We have,

The concept used to convert 3.9 yards to inches is the conversion factor between yards and inches. The conversion factor states that 1 yard is equal to 36 inches.

By multiplying the given value in yards (3.9 yards) by the conversion factor (36 inches/yard), we can convert the measurement from yards to inches.

This concept of using a conversion factor allows us to convert between different units of measurement.

To convert 3.9 yards to inches, we can use the fact that 1 yard is equal to 36 inches.

So, to convert 3.9 yards to inches, we multiply 3.9 by 36:

3.9 yards * 36 inches/yard = 140.4 inches

Therefore,

3.9 yards is equal to 140.4 inches.

Learn more about unit conversion here:

https://brainly.com/question/13899873

#SPJ6

1) Simplify the expression. Show your work.
[tex]\sqrt\frac{9x^{3} }{4y^2}[/tex]

2) Simplify the expression (2-5i)(3+7i)-(4+3i). Show your work.

3) Simplify the expression [tex]\sqrt[3]{81}x^{7}y^{9}z^{5}[/tex] . Show your work.

Answers

The expressions are simplified to 3x^3/2/ y , 2 - 4i -  35i² and 4x^7y^9z^5

How to simply the expressions

1.

Given the expression;

[tex]\sqrt{\frac{9x^3}{4y^2} }[/tex]

Take the square root of the variables;

= [tex]\frac{3x^3^/^2}{y}[/tex]

2. (2-5i)(3+7i)-(4+3i)

expand the bracket

6 + 14i - 15i - 35i² - 4 - 3i

collect like terms

2 - 4i -  35i²

3. Given the expression;

[tex]\sqrt[3]{81} x^7 y^9z^5[/tex]

Take the cube root of the value, we have;

4x^7y^9z^5

Thus, the expressions are simplified to 3x^3/2/ y , 2 - 4i -  35i² and 4x^7y^9z^5

Learn more about algebraic expressions here:

https://brainly.com/question/4344214

#SPJ1

Other Questions
A sulfide of gold is composed of 6.462 g of sulfur and 25.06 g of gold. calculate the percent of both elements in the compound. The points Q, R, S and T all lie on the same line segment, in that order, such that theratio of QR RS: ST is equal to 6:3:1. If QT = 10, find RS. 18. Callie's cat lost 4 1/2pounds before havingsurgery. Two weeks after having surgery, her cat gained 2 7/8pounds. What was the totalchange in weight of Callie's cat? A person who drove a manual-transmission car for years finds that, when driving a car with an automatic transmission, he often lifts his foot to step on the clutch. this driver is experiencing? The discovery of gold in Transvaal contributed to what? All of the following have been identified by the EPA as health effects of noise pollution EXCEPT: A. high blood pressure B. hearing loss C. severe depression D. Blue Baby Syndrome dysfibrinogenemia can be caused by many different structural mutations of the fibrinogen genes, and can result in bleeding, thrombosis, or in some patients, no symptoms. a lab test which differentiates dysfibrinogenemia from afibrinogenemia is: Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah a total of 6 people took the trip. She was able to purchasecoach tickets for $270 and first class tickets for $1250. She used her total budget for airfare for the trip, which was $3580. How many first class tickets did she buy? How many coachtickets did she buy?number of first class tickets bought =number of coach tickets bought =x= number of coach tickets boughtY= number of first class tickets bought A seller (or supplier) of goods or services to a business organization is known as a:_________ a jet fighter pilot wishes to accelerate from rest at 5 g to reach mach-3 (three times the speed of sound) as quickly as possible. experimental tests reveal that he will black out if this acceleration lasts for more than 4.9 s . use 331 m/s for the speed of sound. A client who had a transurethral resection of the prostate (turp) experiences dribbling after removal of the indwelling catheter. which response to the client would the nurse use? Simplify (34)1. I need to know this plsssss A company wishing to set itself apart from its competition should strive to gain _______ by producing its goods and services more efficiently and effectively than other organizations. 45 POINTSWhat connections, if any, do you see between the religions and language families dominant in various regions of the world? Explain animal phylum matching instructions: draw a line from the phylum to the organism that matches it. draw another line from the organism to its description. which expression is equivalent to startfraction startroot 2 endroot over rootindex 3 startroot 2 endroot endfraction?one-fourthrootindex 6 startroot 2 endrootstartroot 2 endrootstartfraction startroot 2 endroot over 2 endfraction 9. A girl standing upright exerts a pressure of 15000 N/m 2 on the floor. Giventhat the total area of contact of shoes is 0.02m .a) Determine the mass of the girl. if the percentage change in the quantity demanded of a good is greater than the percentage change in income, then this good will have an income elasticity: a less than 1 and it is a normal good. b equal to 1 and it is a normal good. c less than 1 and it is an inferior good. d equal to 0 and it is a normal good. e greater than 1 and it is a normal good. Can you derive an exception class from the predefined class ioexception, or must it be derived from the class exception? The gold standard for clinical documentation specifies that entries should be legible, reliable, precise, complete, consistent, clear, and __________.