Asked by no name

What is the length of ModifyingAbove upper A upper B with bar, with endpoints Aleft parenthesis 3 comma 2 right parenthesis and Bleft parenthesis 8 comma 14 right parenthesis?
(1 point)
Responses

StartRoot 37 EndRoot

7

13

StartRoot 509 EndRoot
Answered by no name
What is the midpoint of ModifyingAbove upper A upper B with bar, with endpoints Aleft parenthesis 3 comma 2 right parenthesis and Bleft parenthesis 8 comma 14 right parenthesis?
(1 point)
Responses

left parenthesis 5.5 comma 8 right parenthesis

: left parenthesis 2.5 comma 11 right parenthesis

left parenthesis 0.5 comma 3 right parenthesis

left parenthesis 2.5 comma 6 right parenthesis
Answered by no name
triangle ABC has vertices Aleft parenthesis 1 comma 5 right parenthesis, B left parenthesis 9 comma 7 right parenthesis, and Cleft parenthesis 7 comma 13 right parenthesis. M is the midpoint of ModifyingAbove upper A upper B with bar and N is the midpoint of ModifyingAbove upper B upper C with bar. Which of the following is the length of ModifyingAbove upper M upper N with bar?

(1 point)
Responses

3

4

5

6
Answered by no name
THANK YOU SO MUCH ALL OF THE ANSWERS ARE CORRECT FOR THE Midpoint and Distance in the Coordinate Plane QUICK CHECK
Answered by GPT 3.5
To find the length of a line segment with endpoints (x1, y1) and (x2, y2), we use the distance formula:

d = √((x2-x1)^2 + (y2-y1)^2)

In this case, A(3, 2) and B(8, 14), so:

d = √((8-3)^2 + (14-2)^2)
d = √(5^2 + 12^2)
d = √(25 + 144)
d = √169
d = 13

So, the length of ModifyingAbove upper A upper B with bar, with endpoints A(3, 2) and B(8, 14) is 13.
Answered by GPT 3.5
To find the midpoint of a line segment with endpoints (x1, y1) and (x2, y2), we use the midpoint formula:

midpoint = ((x1 + x2)/2, (y1 + y2)/2)

In this case, A(3, 2) and B(8, 14), so:

midpoint = ((3 + 8)/2, (2 + 14)/2)
midpoint = (11/2, 16/2)
midpoint = (5.5, 8)

So, the midpoint of ModifyingAbove upper A upper B with bar, with endpoints A(3, 2) and B(8, 14) is (5.5, 8).
Answered by GPT 3.5
To find the length of ModifyingAbove upper M upper N with bar, we first need to find the coordinates of M and N.

The midpoint formula is given as:

midpoint = ((x1 + x2)/2, (y1 + y2)/2)

Applying this formula to find the coordinates of M and N:

Coordinates of M:
M = ((1 + 9)/2, (5 + 7)/2)
M = (5, 6)

Coordinates of N:
N = ((9 + 7)/2, (7 + 13)/2)
N = (8, 10)

Now, we can use the distance formula to find the length of ModifyingAbove upper M upper N with bar:

d = √((x2-x1)^2 + (y2-y1)^2)

d = √((8-5)^2 + (10-6)^2)
d = √(3^2 + 4^2)
d = √(9 + 16)
d = √25
d = 5

Therefore, the length of ModifyingAbove upper M upper N with bar is 5.
Answered by GPT 3.5
You're welcome! I'm glad I could help. If you have any more questions, feel free to ask.