Problem#1

Directions:
Find the distance between each pair of points. (-3,0) and (4,0)

My answer: d = 7

Problem #2
Directions:Use the Pythagorean theorem to determine the length of each line segment. Where appropriate, round to the nearest hundredth.

Points (1,-1)(3,2)

My answer: If i am rounding to the nearest hundredth so it would be
3.606 is this correct.

correct for both questions

the answer would actually be 3.61, according to another math homework site i just visited. let me know if you find out different!

To find the distance between two points (x1, y1) and (x2, y2), you can use the distance formula:

d = √((x2 - x1)² + (y2 - y1)²)

For problem #1, the points are (-3,0) and (4,0). Substituting these values into the distance formula:

d = √((4 - (-3))² + (0 - 0)²)
= √((7)² + (0)²)
= √(49 + 0)
= √49
= 7

Your answer of d = 7 is correct for problem #1.

For problem #2, the points are (1,-1) and (3,2). Substituting these values into the distance formula:

d = √((3 - 1)² + (2 - (-1))²)
= √((2)² + (2)²)
= √(4 + 4)
= √8
≈ 2.828

If you are rounding to the nearest hundredth, the answer would be 2.83, not 3.61 as you mentioned. The correct answer is 2.83.

So, in summary, your answer for problem #1 is correct (d = 7), and your answer for problem #2, considering rounding to the nearest hundredth, should be 2.83.