Write the coordinates of two points that are the given distance from these points and horizontal/vertical:
6. 5 units from (–1, –2) ( , –2) and ( , –2) _______________________
7. 8 units from ( 2 , 4 ) ( 2 , ) and ( 2 , ) _______________________
8. 3 units from (–7, –5) (–7, ) and (–7, ) _______________________
9. 6 units from ( 4, –1) ( 4 , ) and ( 4 , ) _______________________
10. 10 units from (–1, 9) ( , 9 ) and ( , 9 ) ______________________
11. 7 units from (–3 , 2) ( , 2 ) and ( , 2 ) ____________________________

Answers

Answer 1

Answer:

7 units from (-3,2)(,2)and(,2)

Step-by-step explanation:

The purpose of this task is for students to solve a mathematical problem using points in the coordinate plane. This task also helps lay the foundation for understanding operations on signed numbers without formally introducing those notions, which are not expected until 7th grade (see 7.NS.1). Students will not have the full machinery needed to find distances between two arbitrary points in the plane until they have studied the Pythagorean Theorem in 8th grade. However, it is straightforward for them to find horizontal and vertical distances, which mirrors how one might represent sums and differences of signed numbers on a number line. The solution for the first part shows how these questions can be represented using absolute values (as described in standard 6.NS.C.8), although students are unlikely to make this connection without being asked to do so. If students are asked to solve this problem on their own first, it could be used to launch a discussion of the relationship between the the absolute value of coordinates of points in the plane and their distance to the respective axes.

Please note that students will have to assume that the points have integer coordinates, which is reasonable but worth mentioning.

Solution

The distance between points B and C is 5 units, as indicated below.

We can determine the distance between points B and C by counting the units between the two points since they are on the same vertical line which happens to be a grid line.

We can also note that the coordinates for B are (3,2) and so it is |2| units above the x-axis. Similarly, the coordinates for C are (3,−3), so it is |-3| units below the x-axis. Thus, the distance between B and C is

|2|+|−3|=5

units.

The distance between points D and B is 7 units, as indicated below.

The distance between points D and E is 4 units, as indicated below.

Point C is the only one of points A,…E that is both 4 units away from (−1,−3) and 2 units away from (3,−1). There is another point that satisfies these two criteria (which is the other intersection point of the circle of radius 4 and circle of radius 2 shown below), but it does not have integer coordinates and is not one of the points identified in the task


Related Questions

Giovanni can read 210 words per minute. If there are approximately 540 words on a page, about how many pages can he read in 3 hours? Round your answer to the nearest whole number.

462 pages
122 pages
233 pages
70 pages

Answers

It would be 70 pages because 210 divided by 3 is 70

She can read 70 pages in 3 hours.

What is proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

We are Given:

Giovanni can read 210 words per minute and, books contain 540 pages

So, she can read the portion of book

=210/540

= 21/54 per minutes

= 21/54  x 60

= 23.3 pages in one hour

and in 3 hours she can read

= 23.3 x 3

= 70 pages in 3 hours

Learn more about unitary method here:

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Sally has 243.75 pieces of candy. John has 27.4 pieces of candy. How many pieces of candy do they have in all? John thinks altogether there are 217.15 pieces of candy. Is he correct? Explain your thinking.

Answers

Answer:

Yes, John is correct.

Step-by-step explanation:

To find the total amount of candy you must add the amounts Sally and John have. Sally has 243.75 and John has 27.4. When you add those two together you can 217.5 which is what John thinks therefore he is correct.

Someone help me with this please, I really need help, and it's due tmrw...PLEASE

Answers

Answer:

[tex]y=2x+4[/tex]

Step-by-step explanation:

y = 2x + 4 (i think thats the answer)

A tire from Karens car is shown below Which is closest to the distance traveled, in feet, after 3 full rotations of the tire? use pi= 22/7

Answers

Answer:

264 inches

Step-by-step explanation:

Circumference = pi x diameter

28 x 22/7 = 88 (in)

88 x 3  = 264 (in)

The closest distance traveled by Karen's car is, 18.86 feet.

What is Circle?

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

We know that;

One rotation of the tire is equal to the circumference of the tire.

And, The formula for circumference of a circle (remember that a tire is shaped as a circle) = πd

where, π = 22/7

d = diameter

Here, The size of one revolution = 2 x 22/7

                                                   = 44/7 feet

Hence, The distance covered in one rotation of the tire is 44/7 feet

So, The distance covered in 3 rotations = (44/7) x 3

                                                             = 18.86 feet

Learn more about the circle visit:

https://brainly.com/question/24810873

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The complete question is this,

A tire from Karen's car is shown below. Which is the closest to the distance traveled, in feet, after 3 full rotations of the tire? The diameter is 2 feet, by the way.

What is the solution to this equation?

−6(x+7)=−30

Enter your answer in the box.

Answers

Answer:

x = -2

Step-by-step explanation:

-6(x + 7) = -30

distribute the -6

-6 * x = -6x and -6 * 7 = -42

-6x - 42 = -30

add 42 to both sides

-6x = 12

divide both sides by -6

-6x/-6 = x and 12/-6 = -2

we're left with x = -2

The following table shows the number of visitors to Yellowstone National Park from 2000 to 2006.
What was the percent of change in the number of tourists between 2000 and 2001?

Answers

Answer:

79,707

Step-by-step explanation:

2,838,233 - 2,758,526= 79,707

2,838,233
-2,758,526
——————
79,707

10 points ... for anyone

Answers

Answer:

gimmethat

Step-by-step explanation:

Please help please and thank you

Answers

Answer:

The answer is 1.5

Step-by-step explanation:

The answer is 1.5

The correct answer is -1.5

I promise I will give you a crown if you do it right.
Q. Arrange the following integers in ascending order.
a. 3902, -3923, -3454, -3345, 3623, -3212.
b. 1005, -1090, -1420, -1230, 1302.
c. -100, -110, -99, 99, 101, 110.
d. 9990, 9011, 9909, -9099, -9990, 9099.

Answers

Answer:

A) -3923, -3454, -3345, -3212, 3623 and 3902.

B) -1420, -1230, -1090, 1005 and 1302.

C) -110, -100, -99, 99, 101 and 110

D) -9990, -9099, 9011, 9099, 9909, 9990

Step-by-step explanation:

Meghan made [tex]$458[/tex] in her last paycheck. If she would like to
save at least [tex]$175[/tex]of it, how much can she spend?
X - How Much She Can Spend

Answers

Answer:

She would be able to spend 283

Step-by-step explanation:

458-175=283

Hope this helps!

458 - 175= 283

Meghan can spend 283

HELPPPPP ASAP PLSPLSPLSPLSPLSPLSPLSPLSPLS

Max is scuba diving at an elevation of −64.5 feet when his friend signals to come higher. Max makes two ascents, each an equal distance, to reach an elevation of −21.4 feet, where his friend is located. What was Max's elevation after his first ascent? Enter your answer as a decimal in the box.

Answers

Answer:

-42.95ft

Step-by-step explanation:

First, find the change in elevation between where Max starts and where his friends are:

-21.4ft-(-64.5ft)=43.1ft

Since we're told that he makes two equidistant ascents, we know that each ascent would be equal to:

43.1ft/2=21.55ft

Now we take the height that he started at and add the height that he would gain in his first ascent

-64.5ft+21.55ft=42.95ft

If each unit on the grid represents 2.5 inches, find the height of the triangle.

Answers

Answer:

15

Step-by-step explanation:

on edge

The answer is 15 inches

Does the following relationship represent a function?

Answers

Answer:

yes

Step-by-step explanation:

the output can have more than one input

the input cannot have more than one output

I hope this helps!!

Answer:

No. it does not represent a function.

Step-by-step explanation:

hope this helps.

Im doing this till 3:30

Answers

Answer: C

Step-by-step explanation:

First set greater than 300 since Zack has to make more than 300 to make a profit. The equation is the amount he makes (n) -  cost of supplies ($32.50). He is completing 4 rooms so multiply (n - 32.5) with 4.

The equation would be 4 (n - 32.5)>300

Now to solve for n, divide 4 on other sides, then add 32.5 to both sides.

Question: 5/12 − 2/5= 1/60​


A. The answer 1/60 is not reasonable because ​5/12​ is closer to 1 than to ​1/2​, and ​2/5​ is closer to 0 than to ​1/2​, making the difference close to 1/2. ​

B. The answer​ 1/60 ​is not reasonable because ​5/12​ is closer to ​1/2​ than to 1, and ​2/5​ is closer to 0 than to ​1/2, making the difference close to​ ​1/2​. ​

C. The answer 1/60 is reasonable because both fractions are closer to 1/2 than they are to 0, making the difference close to 0.

D. The answer 1/60 is reasonable because both fractions are closer to 1 than they are to 1/2, making the difference close to 0.

Answers

Answer:

C

Step-by-step explanation:

It is reasonable: the answer is both reasonable and correct because 5/12 - 2/5 = 1/60. This is because using cross multiply, 5 x 5/12 = 25/60, 12 x 2/5 = 24/60. 25/60 - 24/60 = 1/60.

Both are closer to half: half out of 12 would be 6/12 and 0 would be 0/12, so 5/12 is closer to half because 5/12 is closer to 6/12 than 0/12. Half out of 5 would be 2.5/5 and 0 would be 0/5, so 2/5 is closer to half because 2/5 is closer to 2.5/5 than 0/5.

The difference is close to 0: 1/60 is very close to 0. It's only worth 0.016.

The answer is b bc if you know how to work it out then you can find it

I really need help if u want to help me I will be ur best friend lol help me pls girls and boys! also, i neeeeeed you to not just use this for points, i actually need help ya'll

Answers

Answer:

denise:39

Denise:19.5

David:19.5

Step-by-step explanation:

They split the pears between the two. it shows that n is 39 and the both had pears

denise:19.5

David:19.5

Answer:

denise:39

Denise:19.5

David:19.5

Step-by-step explanation:

look at the other person srry

Your friend finds the value of 8⁴. 8⁴ = 8x4 = 32 Is your friend correct? Explain

Answers

I would say my friend is correct. I think this because when doing function tables, i would often say x2, x5, etc. This would mean that it would be X x 2, and X x 5. If you replace the "x" and turn it into 8, than I would think it would mean the same thing. So, yes. My friend is correct.

I'm not sure if this was what you were looking for, but I hope this helps somehow!

what is X-3+4*765 if X= 90

Answers

Answer: 3147

Step-by-step explanation: because ur my bestayy

Determine whether each figure creates the conditions to form a unique triangle, more than one triangle, or no triangle..

8 cm along the left side of the triangle and 45 degrees in the lower left of the triangle....

more than one triangle
a unique triangle
no triangle

Answers

Answer:

  (a)  more than one triangle

Step-by-step explanation:

Specifying one side and one angle is not sufficient to define a particular triangle. More than one triangle can meet those requirements.

Ramiro is 3/10 as tall as the flagpole. The flagpole is 5/9 as tall as the nearby tree. The tree is 32 2/5 feet tall. How tall is Ramiro?

Answers

Answer:

5.4 feet

Step-by-step explanation:

Start with the flagpole. It is 5/9 of 32 2/5.

32 2/5 = 162/5.

5/9 * 162/5 = 162/9.

Ramiro is 3/10 as tall as 162/9.

3/10 * 162/9 = 27/5, or 5.4 feet tall

His height is 5.4 f

Thank you...

find -3(-1.25) (I cant screenshot it sorry!) HELP PLEASE


-----------------------------------------------

-4 -3 -2 -1 0 1 2 3 4

Answers

Answer: 1.25

Step-by-step explanation:

The answer is 1.25 I think

Natalia is moving into a new house. All together, her furniture weighs 2,896 pounds. If it takes 2 trucks to carry all of Natalia's furniture, what is the average weight load on each truck?

Answers

Answer:

1448 Pounds per truck

Step-by-step explanation:

Divide 2896 by 2

If you haven't learned long division yet, try breaking up the number and dividing it by 2 like this:

2000/2=1000

800/2=400

90/2=45

6/2=3

Then, add them up and solve from there: 1000+400+45+3=1400+48=1448

Answer:

1448

Step-by-step explanation:

2,896/2 = 1448

Hope this helps!

What is the probability of choosing a burrito with cheese and a taco or wrap with salsa??

Answers

Step-by-step explanation:

50/50 chance of choosing one or the other because there is only two options

Which expression use the associative property and make it easier to evaluate 6 (3/2 x 1/5)

Answers

Answer:

D

Step-by-step explanation:

Associative property moves the parentheses, but the numbers stay in the same order.

Help plz:
10. Remove the parentheses by multiplication:
a. 6(2a - 4) =
b. x(2x + 10) =
c. 5(9x - 9) =
d. 3x(2x - x) =

Answers

Answer:

A = 12a - 24

B = 2x² + 10x

C = 45x - 45

D = 6x² - 3x²

Step-by-step explanation:

You can solve all of these by distributing the first number/variable into the parenthesis. Just multiply the number outside the parenthesis by each of the terms inside the parenthesis.

Which point on the number line represents Negative three-fourths?

A number line going from negative 2 to positive 1 in increments of 1. There are 4 equal spaces between each number. Point A is 1 mark to the right of negative 2. Point B is 1 mark to the right of negative 1. Point C is 1 mark to the left of 0. Point D is 1 mark to the left of 1.
A
B
C
D

Answers

Answer:

A

Step-by-step explanation

i am biggest brain

Does the equation y = x represent a function?

Answers

Y equals 16 to be correct

I NEED HELP ASAP PLEASE
Drag each graph to the correct location on the table. Identify the scatter plots that show a positive association, a negative association, or no association.

Answers

Graph 1 negative
Graph 2 negative
Graph 3 no correlation
Graph 4 positive
Graph 5 no correlation
Graph 6 positive

(Arranged from first to last)

1. How many feet long is the space Mr. Hamilton wants to fill with pictures? Explain how you know

2. Convert this length to inches

Answers

Answer:

4 feet I think

Step-by-step explanation:

8 pictures can fit on the wall, the person that said 4 is correct for a part. (Correct me if I’m wrong but I’m sure I’m not!)

Sarah wanted to buy a TV. She had $390 in her pocket. The TV she wanted was $415; however she had a 10% off coupon. The sales tax is 6%. Does she have enough money to purchase the TV?

Answers

Answer: Sarah does not have enough money to purchase the TV.

Explanation: The total price is $395.91.

Answer:

No

Step-by-step explanation:

10% of 415

= 1/10 of 415

= 1/10 * 415

= $41.5

415 - 41.5 = $ 373.5

6% of 415

= 6% * 415

= $24.9

∴ $373.5 + $24.9 = $398.4

∴ Sarah cannot buy the TV as she is $ 8.4 short.

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