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 ) ____________________________

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

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?

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?

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

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


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

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

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

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

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?

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.

10 points ... for anyone

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

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

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

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?

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

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.

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

Does the following relationship represent a function?

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.

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

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

What is the solution to this equation?

−6(x+7)=−30

Enter your answer in the box.

Does the equation y = x represent a function?

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

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.

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

Please help please and thank you

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

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

Im doing this till 3:30

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.