Problem

Which distance measures 7 units?

Solution

star
4.9
(208 votes)
teacher verified
University teacher - Tutor for 8 years

Text explanation

Which distance measures 7 units

points L: -7

points M: -1

points N: 2

points P: 6

Choices: 1.the distance between points L and M; 2.the distance between points L and N; 3.the distance between points M and N; 4.the distance between points M and P;

Answer:

4.the distance between points M and P.

Step by Step Solution

To determine which distance measures 7 units, we calculate the distances between the given points on a number line. The positions of the points L, M, N, and P are given as -7, -1, 2, and 6, respectively. The distance between two points on a number line can be found by taking the absolute difference of their values.

1. The distance between points L and M:

\[ \text{Distance} = |L - M|\]

\[= |-7 - (-1)| \]

\[= |-7 + 1| \]

\[= |-6| \]

\[= 6 \, \text{units} \]

2. The distance between points L and N:

\[ \text{Distance} = |L - N| \]

\[= |-7 - 2| \]

\[= |-9| \]

\[= 9 \, \text{units} \]

3. The distance between points M and N:

\[ \text{Distance} = |M - N| \]

\[= |-1 - 2| \]

\[= |-3| \]

\[= 3 \, \text{units} \]

4. The distance between points M and P:

\[ \text{Distance} = |M - P| \]

\[= |-1 - 6| \]

\[= |-7| \]

\[= 7 \, \text{units} \]

Conclusion: The distance that measures 7 units is the distance between points M and P. Therefore, the correct answer is choice 4: the distance between points M and P.

CLick to Rate: