NEED HELP MARK BRAINLIEST

NEED HELP MARK BRAINLIEST

Answers

Answer 1

Answer:

C) 200.96 ft²

Step-by-step explanation:

The formula of an area of a circle:

[tex]A=\pi r^2[/tex]

r - radius

We have the diameter d = 16ft.

d = 2r, therefore r = (16 ft) : 2 = 8 ft.

Substitute:

[tex]A=\pi(8^2)=64\pi\ ft^2[/tex]

[tex]\pi\approx3.14\to A\approx(64)(3.14)=200.96\ ft^2[/tex]

Answer 2

Answer:

C) 200.96 ft²

Step-by-step explanation:

Area formula of a circle: A = πr²

radius = circumference/2 = 8 ft

Plug in: A = π(8)²

Multiply: A = 64π

Approximate+ Multiply: π ≈ 3.14 --> A ≈ 200.96 ft²


Related Questions

Solve the proportion below. X/6=6/4 x=?

Answers

Answer:

x=9

Step-by-step explanation:

We have been given the following proportion;

x/6 = 6/4

In order to solve for x, we simply make x the subject on the left hand side;

To do this we multiply both sides by 6,

(x/6)*6 = (6/4)*6

x = 36/4

x = 9

The value of x is thus 9

if you simplify the answer you get its x=9

Mr. Thompson cut
the grass on the
golf course in 1683
minutes. How many
hours did it take
to cut the grass?
Write the answer
as a mixed number​

Answers

To convert to hours, we should do 1683/60 because one hour is 60 minutes

1683/60=28 3/60

28 3/60= 28 1/20

Answer: 28 1/20

The number of hours that it takes to cut the grass will be 28 ¹/₂₀ hours.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Mr. Thompson cut the grass on the golf course in 1683 minutes.

We know that in one hour, there are 60 minutes. Then the number of hours that it takes to cut the grass will be given as,

⇒ 1683 / 60

⇒ 28 + 1/20

⇒ 28 ¹/₂₀ hours

The number of hours that it takes to cut the grass will be 28 ¹/₂₀ hours.

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A rectangle has a perimeter of 24 ft. The length is 4 ft longer than the width. What is the length of the rectangle?

Answers

The length is 8.hope this helps.if it does

Please mark brainliest

Final answer:

Given a rectangle with a perimeter of 24 ft where the length is 4 ft longer than the width, we find that the length is 8 ft and the width is 4 ft by setting up and solving an equation based on the formula for the perimeter of a rectangle.

Explanation:

The subject of this question is about finding the length and width of a rectangle given the perimeter and a relationship between the length and width. The formula for the perimeter of a rectangle is 2 * (length + width). If a rectangle has a perimeter of 24 ft, and the length is 4 ft longer than the width, we can add the length and width together and multiply by 2 to calculate the perimeter.

Let's call the width 'w'. Then the length will be 'w + 4'. From the information given, we have:

2 * (w + (w + 4)) = 242 * (2w + 4) = 242w + 4 = 122w = 8w = 4

Therefore, the width of the rectangle is 4 ft. This means that the length, which is 4 ft longer than the width, is 4 + 4 = 8 ft. So the length of the rectangle is 8 ft.

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A bicycle depreciates at a rate of 15% therese bought a bicycle for $250. How much should it be worth 6 years later ?

Answers

Answer:

[tex]\$94.29[/tex]  

Step-by-step explanation:

we know that

The  formula to calculate the depreciated value  is equal to  

[tex]V=P(1-r)^{x}[/tex]  

where  

V is the depreciated value  

P is the original value  

r is the rate of depreciation  in decimal  

x  is Number of Time Periods  

in this problem we have  

[tex]P=\$250\\r=15\%=0.15\\x=6\ years[/tex]

[tex]V=\$250(1-0.15)^{6}[/tex]  

[tex]V=\$250(0.85)^{6}=\$94.29[/tex]  

Answer:

94.29

Step-by-step explanation:

we know that

The formula to calculate the depreciated value is equal to

where

V is the depreciated value

P is the original value

r is the rate of depreciation in decimal

x is Number of Time Periods

in this problem we have

Multiply the following complex numbers: (8-3i)(6+5i)

Answers

The a answer is 8-13i

For one; Your answer doesn't help those who are on apex. Also doesn't appear to be any of the answer choices,

The answer I got from apex, is;

63+22i.

           Hope this helps  :)

Graph the function f(x)=x3-5x2+6

Answers

x 1 2 3 4 5

y 6 0 -4 0 18

What is the common ratio between successive terms in the sequence?

2, –4, 8, –16, 32, –64, ...

Answers

Answer:

  -2

Step-by-step explanation:

A common ratio can be found by dividing any term by the one before it in the sequence:

  -4/2 = 8/-4 = -16/8 = 32/-16 = -64/32 = -2

The common ratio is -2.

Answer:

-2

Step-by-step explanation:

The distance between two cities on a map is 4 - inches. The actual distance between the two cities is 24 miles.
TON
a. What is the scale used on the map?
b. If the scale on a different map of the same area is - inch = 1 mile, how many inches separate the same two cities?
ro​

Answers

Answer

The scale factor is

Explanation

We have to ways to find the scale factor here:

1. Find the unit fraction from inches to miles; in other words, we need to divide the distance between the cities on the map (in inches) by the actual distance between the cities.

We can conclude that the scale factor is

2. Let  be the scale factor.

We know form our problem that 24 miles times the scale factor is equal 4 1/2 inches, so we can set up an equation an solve for :

Just like before, we can conclude that the scale factor is

B.

Answer

6 inches separate the cities on the map

Explanation

We know that our scale factor is 1/4 inch = 1 mile, so we can create a conversion factor to convert 24 miles to inches. Since we need to convert from miles to inches, the denominator of our conversion factor must be 1 mile so we can cancel miles out. Notice that we can also express 1/4 inch as 0.25 inch to simplify our calculations:

We can conclude that if the conversion factor is 1/4 inch = 1 mile, 6 inches separate the cities on the map.

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Answer: A. Find the unit fraction from inches to miles; in other words, we need to divide the distance between the cities on the map (in inches) by the actual distance between the cities.

Step-by-step explanation:

B. 6 inches separate the cities on the map

According to the stem and leaf plot above how many students scored grade of 70 or above. CANT GET IT WRONG!

Answers

You read a steam and leaf plot in this way: the first column is the first digit of the score, and we're grouping scores by their first digits.

So, for example, if we read the row starting with 5, we deduce that there have been three scores in the 50's, namely two 57 and one 58.

To answer the question, we have to count how many occurrences we have in the row of the 70's and higher.

We have 4 scores in the 70's: 70, 70, 71, 78

We have 4 scores in the 80's: 82, 84, 87, 88

We have 3 scores in the 90's: 91, 93, 97

We have 2 perfect scores of 100.

These are all the scores of 70 or above.

Which of the following represents the factored form of f(x) = x3 − 64x?

Answers

Answer:

x(x + 8)(x - 8)

Step-by-step explanation:

Given

x³ - 64x ← factor out x from each term

= x(x² - 64) ← x² - 64 is a difference of squares

= x(x + 8)(x - 8) ← in factored form

How can u study for a test?
When I study o usually get a bad grade!! Please help

Answers

Answer:

stay focused on a single topic until u understand that topic well .. use sticky notes to make short notes and clue to make it easier .. when u have test u can use the sticky notes to make ur own answer .. instead of writing the same words in test use ur pwn wordsband create a short one. make a timetable for each subject everyday at least 1 - 2 hrs ..

what is the factored dorm of 1256x to the sixth power minus 8​

Answers

Answer:

8(157x^6 - 1)

Step-by-step explanation:

1256x^6 - 8

Start by factoring out a common factor. 1256 and 8 are both divisible by 8.

1256x^6 - 8 = 8(157x^6 - 1)

157 is prime, so 157x^6 - 1 is not factorable.

Answer: 8(157x^6 - 1)

What are the roots of the function f(x)=x^2+x-6

A. X=3 and x= -2
B. X= -3 and x= -6
C. X=1 and x=-6

Answers

Answer:

None of the above

Step-by-step explanation:

A is the closest but it should be 2 and -3

For this case we have the following quadratic function:

[tex]f (x) = x ^ 2 + x-6[/tex]

We must find its roots. We can factor, looking for two numbers that when added to +1 and multiplied by -6. These are:

+3 and -2

[tex]+ 3-2 = 1\\(+3) * (- 2) = - 6[/tex]

Then, the factored form is:

[tex](x + 3) (x-2) = 0[/tex]

So, the roots are:

[tex]x_ {1} = - 3\\x_ {2} = 2[/tex]

Answer:

[tex]x_ {1} = - 3\\x_ {2} = 2[/tex]

Which angle corresponds to

Answers

Answer:

∡GFB

Step-by-step explanation:

∡GFB and ∡HGD are corresponding angles

Angle CGH corresponds to angle AFG

Hope this helped!

Use the grouping method to factor x^3+x^2+2x+2

Answers

Factor out common terms in the first two terms, then in the last two terms

x^2(x + 1) + 2(x + 1)

Factor out the common term x + 1

= (x + 1)(x^2 + 2)

What kind of high school math is on here

Answers

Every state has different requirements for obtaining a high school diploma. And each school varies greatly in what type of classes they offer. There are, however, a number of classes that are available, and perhaps even mandatory, in most high schools.

The courses your teen takes will also vary depending on his plans beyond high school. Students who plan to go to college may be required to take more years of a foreign language. Or a student who plans to major in engineering may want to take more math and science classes to prepare for college.

Students in a vocational track may be able to gain some hands-on learning. Many of them are even able to gain certificates or licenses that will help them in their future careers.

It's important to talk to your teen about her aspirations. Help her explore various career options.

Also, talk about what courses she plans to take in high school. Discuss her interest areas and review her schedule together. In addition to the basic classes, there are usually plenty of opportunities for your teen to take electives in various areas of study.

English or Language Arts

Studying the English language and literature is an important part of high school. In addition to studying important pieces of literature, English classes teach teens about writing and speaking. Most states require four years of English or Language Arts classes.

The main English classes in high school are:

   Literature

   Writing or Composition

   Speech

Mathematics

In high school, students dig into several different types of math. Algebra and geometry are required at most high schools and students may choose to take advanced math classes. Most states require three or four years of Math coursework in high school.

The main math classes in high school are:

   Algebra

   Geometry

   Algebra II

   Trigonometry and/or Calculus

   Statistics

Science

Basic biology and chemistry are required at most high schools. They often include lab components that allow students to perform hands-on experiments. Most states require three or four years of Science coursework in high school.

The main science classes in high school are:

   Biology (typically has advanced classes)

   Chemistry (typically has advanced classes)

   Physics (typically has advanced classes)

   Earth or Space Sciences

Social Studies

Understanding how the world works is important for young adults. In high school, students will study history and government and learn about how social studies affects their lives. Most states require three or four years of Social Studies coursework in high school.

The main social studies classes in high school are:

   U.S. History

   U.S. Government

   Economics

   World History

   Geography

Foreign Languages

Learning a second language is important in today's global world. High school students are often required to learn the basics of at least one foreign language and they can choose to take advanced classes to learn more.

The most common languages offered in high school are:

   Spanish

   French

   German

Other common languages include Latin, American Sign Language, Japanese, Mandarin Chinese, and Italian.

Other High School Classes

High schools offer a variety of other classes. Some may be required in the school's curriculum and some are electives that students may choose.

These classes may include:

   Arts, such music, photography, or pottery

   Computer applications, graphic design, or web design

   Physical education

   Trade field study such as auto mechanics or nursing classes

   Psychology

College Credit

Many high schools offer opportunities to gain college credit. Students may take advanced placement classes and if they pass the exam, they may test out of a basic class in college.

Some high schools also have programs that allow students to take certain college classes that will also grant them high school credit. These programs help students gain some college credits free of charge.

Step-by-step explanation:

Answer: Residuals and scatter plots and other stuffs.

WILL GIVE BRAINLIST!!

Simplify. RADICAL 75 - RADICAL 12

A) RADICAL 63
B) 3 RADICAL 7
C) 3 RADICAL 3
D) 8 RADICAL 3

Answers

Simplify the radical 75 first:

[tex]\sqrt{75}[/tex]

5[tex]\sqrt{3}[/tex]

Next simplify the radical 12:

[tex]\sqrt{12}[/tex]

2[tex]\sqrt{3}[/tex]

Now that both radicals have the same number under the radical you can subtract the number in front normally

[tex]5\sqrt{3} -2\sqrt{3}[/tex]

[tex]3\sqrt{3}[/tex]

Hope this helped!

:

Pls mark brainliest I need help

Ampicillin 250 mg IM every 12 hours is ordered. After reconstitution, there's 125 mg/mL. How many mL would you give?

A. 20 mL
B. 10 mL
C. 2 mL
D. 125 mL

Answers

Answer:

Correct choice is C. 2 mL.

Step-by-step explanation:

Given that Ampicillin 250 mg IM every 12 hours is ordered. After reconstitution, there's 125 mg/mL. Now we need to find about how many mL would you give.

Let number of ml needed = x.

Since ratio of mg per mL will be fixed so we get equation:

[tex]\frac{mL}{mg}=\frac{x}{250}=\frac{1}{125}[/tex]

[tex]\frac{x}{250}=\frac{1}{125}[/tex]

[tex]x=\frac{1}{125} \times 250[/tex]

[tex]x=\frac{250}{125}[/tex]

[tex]x=2[/tex]

Hence correct choice is C. 2 mL.

Final answer:

To calculate the volume of ampicillin to be given, divide the ordered dose by the concentration of the solution. For a dose of 250 mg and a concentration of 125 mg/mL, the volume to administer is 2 mL. The correct option is: 2ml.

Explanation:

The question is asking us to calculate the volume of ampicillin required for one dose when it has been reconstituted to a concentration of 125 mg/mL, and the ordered dose is 250 mg given intramuscularly (IM) every 12 hours. To find out how many mL of the ampicillin solution should be administered in one dose, we use the formula:

Dose ordered / Concentration of solution = Volume to administer

In this case:

250 mg (Dose ordered) / 125 mg/mL (Concentration) = 2 mL

Therefore, you would administer 2 mL of the reconstituted ampicillin solution.

Which pairs of angles in the figure below are vertical angles?
Check all that apply.

Answers

Answer:

A and C

Step-by-step explanation:

Vertical angles are angles formed by 2 lines. Those angles are right across from each other.

Answer:

a and c

Step-by-step explanation:

Vertical angles are angles formed by 2 lines. Those angles are right across from each other.

PLEASE ANSWER RIGHT AWAY!!!

Answers

Answer:

$5

Step-by-step explanation:

Given in the question a graph,

We have clearly see that graph can be divided into 3 parts.

Part 1

we can see that $5 will be charged for the package which weight is 3 Ibs or less than 3 Ibs.

Part 2

we can see that $10 will be charged for the package which weight 6 Ibs or than less 6 but greater than 3 Ibs

Part 3

We can see that after 6kg the cost is linear to the weight of the package.

Please help!!!!!!!!!!

Answers

The cost of 1 pound of cashew nuts would be 4 dollars.

You divide 32 by 8

What is 346.49 rounded to the nearest square inch

Answers

Answer:

346 square inches

Step-by-step explanation:

Let's say you have a piece of paper that measures 2.3 inches by 2 inches.the area is 4.6 square inches. The closest whole number is 5, so rounded to the nearest square inch is 5 square inches. Fractions equal to half or greater get rounded up to the next whole number. Fractions less than half get rounded down. SO that means that 346.49 should be rounded down to just 346 although it may be almost 50.

how do you multiply 9.4 by 7.85 with work shown

Answers

Answer:

73.79

Step-by-step explanation:

i forgot how to do it step by step

soooooo sorry

A and b have opposite directions, and they both have a magnitude of 7 what must be true about a and b

Answers

Answer:

D) They are opposite and parallel.

Step-by-step explanation:

Given:

There are two vectors "a" and "b" have opposite directions having the same magnitude of 7.

If the two vectors "a" and "b" have opposite directions mean one moves right and other moves left.

Which means they are opposite.

Here they have a same magnitude of 7. So they are parallel.

Therefore, the answer is D) They are opposite and parallel.

Ten random members at a gym were asked how many servings of fruits and vegetables they had yesterday. The results are shown in the table. Use the point tool to create a scatter plot that represents the data shown in the table.

Answers

Answer: so the red dots are incorrect

the green ones are correct

the yellow ones are also correct (that i missed)

Step-by-step explanation:

A scatter plot is a form of plot or mathematical diagram that displays values for two variables for a collection of data using Cartesian coordinates. The scatter plot of the given data can be made as shown below.

What is a scatter plot?

A scatter plot is a form of plot or mathematical diagram that displays values for two variables for a collection of data using Cartesian coordinates. One more variable can be presented if the points are programmed.

Let the x-axis represent the number of fruit servings, while the y-axis represents the number of vegetable servings. Therefore, The scatter plot of the given data can be made as shown below.

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Help me please these going to be on my final.

Answers

Answer:

7. 46.39 miles

8. 109 cm

9. 18 cm

Step-by-step explanation:

7. Look at the attached picture so you can picture the scenario.

The distance from City A to City B is 85 miles North. Notice that the plane only got to travel 20 miles North because of a cloudbank and redirected 108 degrees NORTH OF EAST, 20 miles towards that direction.

The new path makes a triangle, as shown in the picture.

The angle of the triangle was solved this way.

108° - 90° = 18°

The length of a was solved by getting how many miles the plane didn't travel in its original path.

85 miles - 20 miles = 65 miles.

So now we have our new given:

a = 65 miles

b = 20 miles  

c = ?

C = 18°

Using the cosine law we can solve for the c, which is the distance of the plane from City B.

[tex]c^{2}=a^{2}+b^{2}-2abCosC\\\\c^{2}=65^{2}+20^{2}-2(65)(20)Cos18\\\\c^{2}=4225+400-2600(Cos18)\\\\c^{2}=4625-2472.75\\\\\sqrt{c^{2}}=\sqrt{2152.25}\\\\c=46.39miles[/tex]

8. Again look at the attached. So as you can see we make another triangle. We can solve this with the cosine law once again. Just remember that the longer diagonal is opposite the biggest angle.

Given that:

a = 54cm

b = 78 cm

C = 110°

[tex]c^{2}=a^{2}+b^{2}-2abCosC\\\\c^{2}=54^{2}+78^{2}-2(54)(78)Cos110\\\\c^{2}=2916+6084-8424(Cos110)\\\\c^{2}=9000-(-2281.18)\\\\\sqrt{c^{2}}=\sqrt{11881.18}\\\\c=109cm[/tex]

9. Again, the shorter diagonal is facing the smaller angle. But we use the same cosine law to find it, but we use the formula of a, since a is what we are missing.

Given that:

a=?

A = 58°

b = 21cm

c= 15cm

[tex]a^{2}=b^{2}+c^{2}-2bc(CosA)\\\\a^{2}=21^{2}+15^{2}-2(21)(15)(Cos58)\\\\a^{2}=441+225-630(Cos58)\\\\a^{2}=666-333.85\\\\\sqrt{a^{2}}=\sqrt{332.15}\\\\a = 18cm[/tex]

I really need help on this question

Answers

Answer:

31

Step-by-step explanation:

CPCTC and Parallel concurrency theorem

What’s exponential growth

Answers

Hello There!

Definition Is In Image Attached

Answer:

ex·po·nen·tial growth

noun

growth whose rate becomes ever more rapid in proportion to the growing total number or size.

"the exponential growth of the world's population"

Step-by-step explanation:

The price of the box of 15 stickers is $6. The price of the box of 25 stickers is $8. All prices are without tax, and the price of the boxes is the same.

Write an equation which tells the price Y for the number of X stickers.

Answers

Answer:

y=0.2x+3

Step-by-step explanation:

Let

x-----> the number of stickers

y-----> the price

we have that

For x=15, y=6

and

For x=25, y=8

step 1

Find the slope of the linear equation

m=(8-6)/(25-15)

m=2/10=0.10 $/sticker

step 2

Find the equation of the line into point slope form

The equation of the line is equal to

y-y1=m(x-x1)

we have

m=0.10

point (15,6)

substitute

y-6=0.2(x-15)

y=0.2x-3+6

y=0.2x+3

Anthony jogs 11 1/2 miles in 23 mins. If Anthony continues to jog at a steady pace, how many miles will he jog each minute?

Answers

For this case we can raise a rule of three based on Anthony trotting [tex]11 \frac {1} {2}[/tex] miles in 23 minutes.

[tex]11 \frac {1} {2} = \frac {2 * 11 + 1} {2} = \frac {23} {2}[/tex]

[tex]\frac {23} {2}[/tex] miles -----------> 23 minutes

x ----------------------------------------> 1minute

[tex]x = \frac {\frac {23} {2} * 1} {23}\\x = \frac {\frac {23} {2}} {23}\\x = \frac {23} {2 * 23}\\x = \frac {1} {2}[/tex]

ANswer:

0.5 miles per minute

Other Questions
Enter CHORUS. CHORUS: Two households, both alike in dignity, In fair Verona, where we lay our scene, From ancient grudge break to new mutiny, Where civil blood makes civil hands unclean. From forth the fatal loins of these two foes A pair of star-cross'd lovers take their life; Whose misadventured piteous overthrows Do with their death bury their parents' strife. The fearful passage of their death-mark'd love, And the continuance of their parents' rage, Which, but their children's end, nought could remove, Is now the two hours' traffic of our stage; The which if you with patient ears attend, What here shall miss, our toil shall strive to mend.ExitHow is this drama different from a story written in prose?a.It uses mainly description, rather than dialogue, to tell the story.b.It does not have a specific setting.c.It does not have major and minor characters.d.It uses mainly dialogue to tell the story.e.It uses foreshadowing to give the audience a hint of what to expect. which is the best strategy to use when a discussion goes off track and participants are not listening to each other?A. find an unrelated subject on which everyone agreesB. repeat an option until everyone agreesC. change your opinion to avoid further conflictD. summarize points of agreement and disagreement constitutional amendments must be approved by three-fourths of the PLEASE HELP ASAP!!Read the passage from "The Convict and the Bishop."The tavern-keeper then returned to the fire, and laying his hand roughly on the traveler'sshoulder said harshly, "You are going to clear out from here."The stranger turned around and said mildly, "Ah! Do you know?""Yes.""They sent me away from the other inn.""And we turn you out of this one."Which theme from the story is developed by this passage?A.Once a criminal, always a criminal.B.Prejudice causes people to act in destructive ways.C. kindness only applies to people who deserve it D. You should always be wary of strangers what is the range of this data set 22 30 49 71 85 88 92 97 99 How long did it take the apple to hit the ground? Round your answer to the nearest hundredth Please help!!! I need it fast! PLEASE!!! which of the blood vessels do you think have greatest blood pressure Please help me out please Solve the current and voltage problems for the cicurrent and voltage problems for the circuit below using your knowledge of current and voltage trends in series and parallel. A 1.50-liter sample of dry air in a cylinder exerts a pressure of 3.0 atmospheres at a temperature of 25C. Without change in temperature, a piston is moved in the cylinder until the pressure in the cylinder is reduced to 1.0 atmosphere. What is the volume of the gas? (Be sure to use the correct number of significant figures.) 0.22 L 0.50 L 2.0 L 4.5 L Suppose you toss three pennies.a)What is the probability of all the three pennies landing heads up: P (H,H,H)?b)Suppose the three pennies land heads up and you toss a fourth penny.What is the probability of it landing heads up?Explain A clear and effective thesis statement should include the topic of the essay and . How deforestation contributes to global warming Which is a solution to (x3)(x+9)=27? Learning how to annotate will help you _____. Need help ASAP plzzz Bob has just finished climbing a sheer cliff above a beach, and wants to figure out how high he climbed. All he has to use, however, is a baseball, a stopwatch, and a friend on the beach below with a long measuring tape. Bob is a pitcher and he knows that the fastest he can throw the ball is about ????0=34.1 m/s.v0=34.1 m/s. Bob starts the stopwatch as he throws the ball (with no way to measure the ball's initial trajectory), and watches carefully. The ball rises and then falls, and after ????1=0.510 st1=0.510 s the ball is once again level with Bob. Bob cannot see well enough to time when the ball hits the ground. Bob's friend then measures that the ball landed ????=126 mx=126 m from the base of the cliff. How high up is Bob, if the ball started exactly 2 m above the edge of the cliff? Describe in your own words the characteristics of linear equations that determine whether a system of linear equations will be Intersecting, Parallel, or Coincident? (2 points, 0.5 for clarity of response, 0.5 for each type of system (intersecting, parallel, and coincident)). A train travels 600 km in 4 hours. What is the speed of the train? Steam Workshop Downloader