(100 pts.)

Determine whether or not the given set is open, connected, and simply-connected. (Select all that apply.) (x, y) | 16 ≤ x2 + y2

Yuliya22 [10]

Answer:

The set is closed, connected and simyple connected

Step-by-step explanation:

A set is closed if contains all the point in its boundaries. A set is open if it doesn't contain any of the points in its boundaries. In this set, all the points of the boundaries are included because it is using the less than or equal to and greater than or equal to define the set.

The set is connected if you can find a path inside the set to connect any two points of the set. If you make the graph of the set you would see the set covers this condition because the set hasn't any division.

The set is simply connected if you can draw a closed curve inside the set and in the interior of the curve there are only points of the set. In other words, if the set has holes is not simply connected. This set doesn't have holes, it's simply connected.

3 0

3 years ago

What is the simplified version of (9/2 x - 2) - (3/2 x + 1)

____ [38]

The simplified answer is 3x–3

4 0

3 years ago

How many times does 27 go into 324

Leona [35]

324 divided by 27 is 12.

8 0

3 years ago

PLEASE HELP QUICKLY I NEED HELP

STatiana [176]

Answer:the question is blurry for me

Step-by-step explanation:

8 0

3 years ago

2x - 3y = 2, 4x + 7y = -9.

kodGreya [7K]

Step-by-step explanation:if you like it press thank you ❤❤❤

2x-3y=2 4x+7y= -9

2x=2+3y

2x=2+3y

2 2

x=2+3y 4(2+3y) + 7y= -9

 2 2

8+12y + 7y= -9

2

8+12y+14y = -9

2

8+12y+14y= -18

26y= -26

26y = -26

26 26

y= -1

4x+7(-1)= -9

4x+(-7)= -9

4x-7= -9

4x = -2 now lets check,4(-1) + 7(-1)= -9 or 2(-1)-3(-1)=2

4 4 2 2

x=-1 -4 +(-7) = -9 -1-(-3)=2

2 2 -1+3=2

-2-7= -9 2=2

-9= -9

so the answer is x= -1 and y= -1

2

6 0

3 years ago