1. Find the distance between the pair of points. Round to the nearest tenth is necessary. (-13, -8) and (6, 17)

a. 11.4
b. 12.1
c. 31.4
d. 23.7
is the answer c?

2. Find the distance between the pair of points. Round to the nearest tenth, if necessary. (-10, -8) and (-3, 12)
a. 13.6
b. 21.2
c. 23.4
d. 15.1
is the answer b?

3. The coordinates of the endpoints of a segment are given. Find the coordinates of the midpoint of the segment. G(-7, 7), H(-1, 7)
a. (4,-8)
b. (7,-4)
c. (-4,7)
d. (-3.5,7)
is the answer a?

4. The coordinates of the endpoint of a segment are given. Find the coordinates of the midpoint of the segment. A(4, 12), B(2, -2)
a. (8,0)
b. (3,5)
c. (4,7)
d. (6,10)
is the answer c?

Just check these: tell me what I got wrong and try and help me get the right answer. Please.

1. and 2. are correct

Both of your midpoints are wrong.

To get the midpoint, ADD the x's and divide by 2, then add the y's and divide by 2

so
3. for the x's (-7 + (-1))/2 = -4
for the y's (7+7)/2 = 7
midpoint is (-4,7) which would be c)

try 4. the same way and you should get (3,5)

Round to the nearest tenth if necessary.

Find the distance between the two points.

(1, –2), (10, –4)

1. To find the distance between the points (-13, -8) and (6, 17), we can use the distance formula. The formula is given by:

Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Plugging in the values, we get:

Distance = sqrt((6 - (-13))^2 + (17 - (-8))^2)
Distance = sqrt((19)^2 + (25)^2)
Distance = sqrt(361 + 625)
Distance = sqrt(986)
Distance ≈ 31.4

So the correct answer for this problem is c. 31.4

2. To find the distance between the points (-10, -8) and (-3, 12), we can again use the distance formula.

Distance = sqrt((-3 - (-10))^2 + (12 - (-8))^2)
Distance = sqrt((7)^2 + (20)^2)
Distance = sqrt(49 + 400)
Distance = sqrt(449)
Distance ≈ 21.2

So the correct answer for this problem is b. 21.2

3. To find the coordinates of the midpoint of the segment with endpoints G(-7, 7) and H(-1, 7), we can use the midpoint formula. The formula is given by:

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

Plugging in the values, we get:

Midpoint = ((-7 + (-1)) / 2, (7 + 7) / 2)
Midpoint = (-8 / 2, 14 / 2)
Midpoint = (-4, 7)

So the correct answer for this problem is c. (-4, 7)

4. To find the coordinates of the midpoint of the segment with endpoints A(4, 12) and B(2, -2), we can again use the midpoint formula.

Midpoint = ((4 + 2) / 2, (12 + (-2)) / 2)
Midpoint = (6 / 2, 10 / 2)
Midpoint = (3, 5)

So the correct answer for this problem is b. (3, 5)

Based on the calculations, you got the answers correct for problems 1 and 2. However, your answers for problems 3 and 4 are incorrect. The correct answers are c for problem 3 and b for problem 4. I hope this information helps you understand the problems better!

Let's go through each question one by one:

1. To find the distance between two points, you can use the distance formula. The formula is √((x2 - x1)² + (y2 - y1)²). Let's calculate:
For the points (-13, -8) and (6, 17):
Distance = √((6 - (-13))² + (17 - (-8))²)
= √(19² + 25²)
= √(361 + 625)
= √986
≈ 31.4

So, the correct answer is c. 31.4. You got it right!

2. Applying the same distance formula to points (-10, -8) and (-3, 12):
Distance = √((-3 - (-10))² + (12 - (-8))²)
= √(7² + 20²)
= √(49 + 400)
= √449
≈ 21.2

Therefore, the correct answer is b. 21.2. You got it right again!

3. To find the coordinates of the midpoint of a segment, you can use the midpoint formula. The formula is ((x1 + x2) / 2, (y1 + y2)/ 2).
For the points G(-7, 7) and H(-1, 7):
Midpoint = ((-7 + (-1)) / 2, (7 + 7) / 2)
= (-8 / 2, 14 / 2)
= (-4, 7)

So, the correct answer is c. (-4, 7). You didn't get it right; the correct answer is not a.

4. Using the midpoint formula for points A(4, 12) and B(2, -2):
Midpoint = ((4 + 2) / 2, (12 + (-2)) / 2)
= (6 / 2, 10 / 2)
= (3, 5)

The correct answer is b. (3, 5). You didn't get it right; the correct answer is not c.

So, in summary:
1. You got it right! The answer is c. 31.4.
2. You got it right! The answer is b. 21.2.
3. You got it wrong. The correct answer is c. (-4, 7).
4. You got it wrong. The correct answer is b. (3, 5).

I hope this helps! If you have any more questions or need further clarification, feel free to ask.