Mathematics College

Determine whether the given segments have the same length. Drag and drop each number
into the correct box to complete the justification of your answer. BC and EF

Determine Whether The Given Segments Have The Same Length. Drag And Drop Each Numberinto The Correct

Answers

Answer 1

Answer:

Step-by-step explanation:

Length of a segment between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by the formula,

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Coordinates of extreme ends of BC and EF are,

B(1, 4), C(3, -2), E(-3, -2) and F(-1, 1)

Length of BC = [tex]\sqrt{(1-3)^2+(4+2)^2}[/tex]

                      = [tex]\sqrt{4+36}[/tex]

                      = [tex]2\sqrt{10}[/tex] ≈ 6.32 units

Length of EF = [tex]\sqrt{(-3+1)^2+(-2-1)^2}[/tex]

                     = [tex]\sqrt{4+9}[/tex]

                     = [tex]\sqrt{13}[/tex] ≈ 3.61 units

The length of BC is 6.32. The length of EF is 3.61.So, BC and EF don't have the same length.

Related Questions

2(x + 3) – 10 = 4x


Can you also explain please. Thanks

Answers

Answer:

x=-2

Step-by-step explanation:

2(x+3)-10=4x

2x+6-10=4x

6-10=2x

-4=2x

-2=x

Answer:

x = -2

Step-by-step explanation:

First distribute the 2 with x and 3

Equation should look like... 2x + 6 - 10 = 4x

Second combine like terms, 6 and -10

Equation should look like... 2x - 4 = 4x

Third bring 2x to the other side making it -2x and subtract it from 4x

Equation should look like... -4 = 2x

Last divide -4 and 2.

Equation should look like... x = -2

Which describes an atom that has fewer neutrons and protons and more electrons than protons

Answers

Answer:

Negative charged ion :)

Answer:

Negative charged ion

Step-by-step explanation:

Marissa drives from her house to work at an avg speed of 40mph. She drives home sameroute at 60mph. Entire round trip is 45 minutes, what is her avgspeed in mph?

Answers

Answer:

50mph

Step-by-step explanation:

to to find the mean you add 40 + 60. which equals 100 then divide by the amount a variables which is two.

50 mph is correct. The 45 minute round trip is actually useless information in answering this question. You can divide 60+40 by 2 or in this case, when you only have 2 numbers to look at, you can find the median and the median will be the same as the mean. Unless you’re very comfortable with finding averages, I wouldn’t suggest calculating this by the median, but that is what I did because I’m very familiar with the pattern of finding means.

solve the inequality 5f+7[tex]\leq[/tex]22
a f[tex]\geq[/tex]6
b f[tex]\leq[/tex]3
c f[tex]\leq[/tex]10
d f[tex]\geq[/tex]15

Answers

Answer:

[tex]f \leqslant 3[/tex]

Step-by-step explanation:

[tex]5f + 7 \leqslant 22 \\ 5f \leqslant 15 \\ f \leqslant 3[/tex]

f(x)=3x 2 +16 Find f(-1)

Answers

Answer:

X-18/3

Step-by-step explanation:

Assuming you meant 3x+18

The inverse f(-1) of the equation is above.

A small Learning Center holds twenty-four less students than a large Learning Center. Together the Learning Centers hold seventy-two students. How many students does each Learning Center hold?

Answers

Answer:

A small learning center holds 48 students

Step-by-step explanation:

A small Learning Center holds twenty-four less students than a large Learning Center. Together the Learning Centers hold seventy-two students. How many students does each Learning Center hold?

72-24=48

A scuba diver returning to the surface swims to move up quickly, then waits a few meters below the surface to avoid pressure issues. They complete the ascent more slowly. The function f represents the diver's distance from sea level over time, in seconds. Which of the following is true for f? f(x)= { 3x+1, if −9 < x ≤ −2 f(x)= {−5, if. −2 < x ≤ 1 f(x)= { x−6, if 1 < x < 7 Group of answer choices The domain is the depth interval (−26, 1). The domain is the depth interval (−9, 1]. The domain is the set of times −9 < x < −2, −2 < x < 1, and 1 < x < 7. The domain is the time interval (−9, 7). Group of answer choices domain: (–3, 3] negative: (–3, –2), (2, 5] range: (–3, 4] decreasing: (–1, 4) increasing: (–3, –1) positive: (–2, 2)

Answers

Answer:

See below

Step-by-step explanation:

Given:

f(x)= { 3x+1, if −9 < x ≤ −2 f(x)= {−5, if. −2 < x ≤ 1 f(x)= { x−6, if 1 < x < 7

Combination of domain for the function is the following union:

(-9, 2]∪ (-2, 1]∪(1, 7)  = (-9, 7)

Group of answer choices:

The domain is the depth interval (−26, 1).

incorrect as (-26, -9) interval is not covered in given function

The domain is the depth interval (−9, 1].

incomplete range

The domain is the set of times −9 < x < −2, −2 < x < 1, and 1 < x < 7.

incorrect as doesn't include x = -2 and x = 1

The domain is the time interval (−9, 7).

This is correct as it is same with the domain set we got above.

A car rental agency advertised renting a car for $26.95 per day and $0.24 per mile. If Kevin rents this car for 3 days, how many whole miles can he drive on a $250 budget?
miles (Round down to the nearest whole mile.)

Answers

Answer: 26.95 * 3 = 80.85

              250/0.24 = 60

             

What are two different methods you can use to withdraw money from your checking account?​

Answers

Answer:

You can withdraw by automatic electronic transfer, check, ATM card or debit card. There are many ways these days to withdraw money from your accounts.

HELP What is the perimeter of this rectangle?

Answers

Answer:

7×2=14 (for the long side)5×2=10 (for the short sides) the you add up the two answers 14+10=24

Length = 5
Width = 7
Perimeter = 24
Formula = P = 2(L*W)

Analyze the diagram below and complete the instructions that follow. If ON = MN, find MN. A. 4 B. 5 C.4 sqrt{2}]. D 4 square root 30

Answers

Answer:

C. 4 sqr 2, sorry for the answer being late, hope this helps some one tho :)

Step-by-step explanation:

I took the quiz and got it correct

Answer:

The answer would indeed be C.

Step-by-step explanation:

Was in my test on edg.

Compare -9 and square root -9

Answers

Answer:

-9 < 3i

Step-by-step explanation:

3i is bigger than -9 because 3i² is equal to -9

i means imaginary number

Hope this helps!

Find the surface area of a square pyramid if the area of the base is 324 cm squared and the height is 40 cm.

Answers

Answer:

height h = 324 cm

slant height s = 324.61669704438 cm

side length a = 40 cm

lateral edge length e = 325.23222472566 cm

1/2 side length r = 20 cm

volume V = 172800 cm^3

lateral surface area L = 25969.33576355 cm^2

base surface area B = 1600 cm^2

total surface area A = 27569.33576355 cm^2

Step-by-step explanation:

Total Surface Area of a square pyramid:

A = L + B = a^2 + a√(a^2 + 4h^2))

A = a(a + √(a^2 + 4h^2))

Agenda:

h = height

s = slant height

a = side length

e = lateral edge length

r = a/2

V = volume

L = lateral surface area

B = base surface area

A = total surface area

HELLLP!!!!!!!!!!! PLS

Answers

Answer:

3 * 4/4 = 12/4

12/4 + 1/4 = 13/4

One fraction:   13/4

Mixed number  [tex]3 \frac{1}{4}[/tex]

For which values of a the system has no solution: x≤5, x≥a

Answers

Given:

The system of inequalities is

[tex]x\leq 5[/tex]

[tex]x\geq a[/tex]

To find:

The values of a for which the system has no solution.

Solution:

We have,

[tex]x\leq 5[/tex]        ...(1)

It means the value of x is less than or equal to 5.

[tex]x\geq a[/tex]        ...(2)

It means the value of x is greater than or equal to a

Using (1) and (2), we get

[tex]a\leq x\leq 5[/tex]

But if a is great than 5, then there is no value of which satisfies this inequality.

Therefore, the system has no solution for a>5.

Perpendicular lines AB and CD intersect at point E. If m ZAED = x+ 20, what is the value of ?
160
110
90
70

Answers

Answer: the value would be 90

Step-by-step explanation:

graph y minus 3 equal one half (x+2)

Answers

This is the graph for y-3=1/2(x+2)

Express the ratio AC/DF in simplest form

Answers

Answer:

[tex] \frac{n}{28 \: cm}[/tex]

Step-by-step explanation:

AC = n, DF = 28 cm

[tex] \huge \red{ \frac{AC}{DF} }= \purple{ \frac{n}{28 \: cm}} \\ [/tex]

A mother gives birth to a 9 pound baby. Every 2 months, the baby gains 3 pounds if x is the age of the baby in months,then y is the weight of the baby in pounds.
Find an equation of a line in the form y=Mx+b that describes the baby’s weight

Answers

Answer:

y=1.5x+9

Step-by-step explanation:

We can first write in 9 as b because the baby already started at 9 pounds, meaning the line showing the weight will also start from 9.

The question tells us that the baby grows 3 pounds every 2 months. In the equation, x represents months. We need to convert the rate of growth into 1 month to write in as the slope.

[tex]\frac{3pounds}{2 months} = \frac{1.5 pounds}{1 month}[/tex]

Now we know every month, the baby grows 1.5 pounds, which represents the rate of change, or M, in the equation.

Please help I'm stuck

Answers

Answer:

I'm stuck to.

Step-by-step explanation:

is there suppose to be an angle or a triangle?

7n-(4n-3) simply to create a equivalent expression?

Answers

Answer:

3n + 3

Step-by-step explanation:

Step 1:

7n - 4n + 3

Answer:

3n + 3

Hope This Helps :)

The equivalent expression is 3n + 3.

To simplify the expression 7n - (4n - 3), distribute the negative sign inside the parentheses:

7n - (4n - 3) = 7n - 4n + 3

Simplifying further,  combine like terms:

7n - 4n + 3 = (7n - 4n) + 3 = 3n + 3

To know more about equivalent  here

https://brainly.com/question/25197597

#SPJ6

A farmer rents pastureland for 8$ per acre plus a monthly fee of $200. Write an expression that can be used to find the total monthly cost. Then find the cost of renting 25 acres​

Answers

Answer:

A. [tex] 8n + 200 [/tex], $400.

Step-by-step explanation:

Monthly rent per acre for pasture land = $8

Additional monthly fee = $200

Let n represent the number of acres.

Therefore, expression for the total monthly cost would be:

[tex] 8n + 200 [/tex].

If the farmer wants to rent 25 acres of pasture land, the expression, [tex] 8n + 200 [/tex], can be used in calculating the total cost by simply plugging in the value of n, which would be 25 in this case.

Total monthly cost for 25 acres = [tex] 8(25) + 200 [/tex].

[tex] = 200 + 200 [/tex]

[tex] 400 [/tex].

Total monthly cost = $400

Please answer this!
Who invented maths?

Answers

Answer:

ancient greek invented math




Complete each ratio table to solve each problem.
11 To make 5 apple pies, you need about 2 pounds
of apples. How many pounds of apples do you need
to make 20 apple pies?

Answers

Answer:8 pounds to make 20 apple pies

On January 1, 2009, Jessica owed $10,212 to her friend Sam, who was kind enough not to charge Jessica any interest. Each month during 2009, Jessica paid Sam some of the money she owed. If Jessica still owed Sam $6,612 on January 1, 2010, what was the average amount of Jessica's monthly payments?

Answers

Answer:

551

Step-by-step explanation:

6612 divided by 12 ( number of months) =551

The price for video game A is $15 more than the price for video game B. If the total of these two prices is $39, find the price of each game.
and the cost for video game B is $
The cost for video game A is $
(Type integers or decimals.)

Answers

Answer:

Video Game A: $27

Video Game B: $12

Step-by-step explanation:

First, I divide the total in approximately half ($20 and $19). Since the difference between these two numbers is already $1, I only have to make the difference $14. I do this by dividing $14 in half ($7 and $7) and subtracting $7 from $19 and adding $7 to $20. So, video game A costs $27 and video game B costs $12. Also, to check the answer: $27 is $15 more than $12 and $27 + $12 is $39.

jonshelle is developing a new bread recipe. The relationship between cups of water, w, and cups of flour, f, is w=3/5f what is the scale factor of water to flour?

Answers

Answer:

The scale factor of water to flour is simply 3/5 or 3 to 5

Step-by-step explanation:

Here, we are interested in knowing the scale factor of water to flour.

To know this, we simply will rearrange the given equation;

w = 3/5f

Divide both side by f

w/f = 3/5

This shows that the scale factor of water to flour is 3 to 5 or simply 3/5

30 points!!!
To convert measurements in the metric system, you can move the decimal point left or right. Why does this work? The metric system only uses decimal numbers. Converting in the metric system does not involve multiplication or division. The metric system is based on powers of 10. The metric system does not have conversion factors.​

Answers

Answer:

Because it could be negitive or positive that chooses where the decimal goes it can either go left or right

hope this helps :)

Answer:

its c trust  me :)

Step-by-step explanation:

Which of these cannot be a whole
number?
A a positive integer
B a negative integer
C a rational number

Answers

The whole numbers are the numbers 0, 1, 2, 3, 4, and so on (the natural numbers and zero). Negative numbers are not considered "whole numbers." All natural numbers are whole numbers, but not all whole numbers are natural numbers since zero is a whole number but not a natural number. Hope it helps!

PLZ Help
This is due by 2:20

Answers

Answer:

The answer is 60 degrees.

Step-by-step explanation:

The three angles in any triangle add up to 180 degrees.

You know by the box at the bottom right that it's a right triangle and therefore that angle is 90 degrees. They also give you the 30 degree angle at the bottom left. So:

90 degrees + 30 degrees = 120 degrees.

180 degrees (total) - 120 degrees (first 2 angles) = 60 degrees (missing angle)

Hope this helps!

Other Questions
Need help asap hurry please How were the American colonies impacted by the English's victory in the French and Indian War? Two balls are thrown against a wall. Ball 1 has a much higher speed than ball 2. Explain how the energy of the two balls is different. How does boycotting a product or company impact supply and demand? Describe the relationship between air time and range. Does seth or briana walk faster example for Conceptual The class wants to raise a total of $1750. If they receive a profit of $1.75 from each candy bar sold, how many bars must they sell to reach their goal? ( 5 - 2i)2 Write answer in standard form a +bi. Remember you can not have i2 in your answer it is a number. The committee decided to organize the graduation dance What type of coal has the highest carbon content? 1.Sub-bituminous coal 2.Bituminous coal 3.Anthracite coal What is meant by "taking the fifth?" How did increased wealth influence ancient civilizations? Wealth inspired artistic traditions of ancient civilizations. Wealth determined the religious beliefs of ancient civilizations. Wealth demonstrated the cultural values of ancient civilizations. Wealth changed the amount of power held by ancient civilizations. Select the correct answer.Which of the following is NOT an example of a cup of fruit?O A.Two cups of fruit juiceOB.One large bananaOC. Eight large strawberriesODOne medium pear The abbreviations BC and AD are still commonly used to label different eras of world history. This fact supports which of the following conclusions? Choose best vocabulary word with its corresponding synonym: lose value Brian finished his English assignments in 1/3 hours. Then he completed his math assignments in 1/5 hours. What was the total number of Time Brian spent doing these two assignments how many dollars will you get if you change how is the court's power of "judicial review" helps ensure a separation of powers? In the U.S. about 48 million suffer from food-borne illnesses every year.