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

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

A triangle with 30 degrees in the left corner, 40 degrees in the right corner and 7 cm along the bottom of the triangle.

a unique triangle
no triangle
more than one triangle

A car dealership sold 153 cars in 3 months. At what rate did the dealership sell cars in cars per month?

I need halp plz, no incorrect

Sails come in many shapes and sizes. The sail on the right is a triangle. Is it a right triangle? Explain your reasoning.

HELP ME PLESE

Sarah babysits her neighbor's son to make money. Her earnings can be represented by the equation
M = 9h
where M is the money she earns and h is the hours she babysits.

Samara babysits her cousin to make money. Her earnings can be represented by the graph.



Which babysitter earns more money per hour?

Last year, the student population at Sunshine Middle School was 876 students. This year it is 891 students. What percentage did the student population increase?

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

Which is a solution for x in the equation:

x²=60

A. ²√60

B. ∛60

C. 15

D. 10

Jerome bought a pair of shoes for $58.13 including tax. The shoes had a sticker price of $54.20. What percent sales tax did he pay?
I NEED AN ANSWER ASAP!!!!!!!!!!!!!!!!!!

Find common denominators and add. Reduce answers to lower terms. 1/4+ 1/6

5/12
1/10
2/10
2/6

Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a radius of 13 feet and a height of 14 feet. Container B has a radius of 10 feet and a height of 18 feet. Container A is full of water and the water is pumped into Container B until Conainter B is completely full.

After the pumping is complete, what is the volume of water remaining in Container A, to the nearest tenth of a cubic foot?

What is the value of m?



13.78 – m = 9.13

The table shows the numbers of home runs a baseball player0 hit during spring training and during the regular season for four years. How many home runs would the player likely have hit during the regular season with 3 home runs hit during spring training? Spring Training Regular Season 2 8 4 4 5 20 6 24

I NEED HELP PLEASE I HAVE POINTS

Select all of the algebraic expressions that could represent the phrase below.

You don't have to solve the K and the equation for me, I know how to do it. I just don't know what to do for the table. It confused me...

i need help completing this !
the table below represents a linear relationship.
use the table to find the following

x y
-4 9
-2 6
0 3
2 0

slope=
y intercept=-3
equation of line in slope intercept form=

I shall give the right answer brainliest

i need help again...

WILL GIVE BRAINLIEST LIKE FIVE STARS THE WHOLE SHEBANG;
The graph shows how many bottles a machine caps in a certain number of seconds.

Part A
What is the constant of proportionality, and what does it mean in this situation?
Use the drop-down menus to show and explain your answer.
The constant of proportionality is
Choose...
; the machine caps
Choose...
bottles in
Choose...
.

Part B
Which of the following is an ordered pair on the graph? What does it represent in this situation?
A.


(45, 90); the machine caps 45 bottles in 90 seconds.
B.


(45, 900); the machine caps 45 bottles in 900 seconds.
C.


(45, 900); the machine caps 900 bottles in 45 seconds.
D.


(900, 45); the machine caps 900 bottles in 45 seconds.

Car A is traveling east at a steady speed of 45 miles per hour. After 2 hours, it is 130 miles east of Johnstown
Car B is traveling east on the same road. it’s distance east of Johnstown is represented by the graph.


Where were the two cars in relation to each other when they began traveling?
A. Car A was 20 miles east of Car B
B.Car B was 20 miles east of Car A
C.Car A was 10 miles east of Car B
D.Car B was 10 miles east of Car A

The original pattern for a dress is 3334 inches long. Kimmy needs her dress to be 3212 inches long. How much shorter than the pattern does Kimmy need to make her dress?

A.
123 inches
B.
114 inches
C.
214 inches
D.
112 inches



This Is 15 Points and will give brainliest! pls help asap!

You just found the car of your dreams. It will cost $24,000. You have been saving for a car since 3rd grade and now have $6,000. Your dad will match that with another $6,000 for the car. You will pay a simple interest of 10% on the balance of what you owe after you give the car dealership the money you have between your dad and yourself.
How much money will you still owe?

RectangleA′B′C′D′ is the image of rectangleABCD after a dilation.

What is the scale factor of the dilation?

Eli won 2 out of 3 chess games on day. At this rate, if he played 35 games, how many did he win? Write and solve a proportion

The population of the United States is approximately 320,000,000 people. Which is a
reasonable estimate for the amount of food consumed by the population of the United
States per day?

Please help with these questions!! Tysm!

This one is number 6

A right triangle has sides of length 3, 4, and x. Find x if it is one of the legs.
HELP ON THIS ONE????

please and thank you