B.
To find the distance between two points, we use the distance formula:
d = sqrt((x2-x1)^2 + (y2-y1)^2)
In this case,
x1 = -7
y1 = 4
x2 = 2
y2 = 4
Plugging in these values, we get:
d = sqrt((2-(-7))^2 + (4-4)^2)
Simplifying, we get:
d = sqrt(81)
d = 9
Therefore, the distance between the points (-7,4) and (2,4) is 9.
Note: None of the answer choices are correct.
Which expression gives the distance between the points (−7,4) and (2,4)
?
A.
|4|+|4|
B.
|−7+2|
C.
|4−4|
D.
|−7|+|2|
3 answers
but, but, ...
the last choice of |−7|+|2| equals 9, the correct answer
although I find it strange that the answer is written in that expression
the last choice of |−7|+|2| equals 9, the correct answer
although I find it strange that the answer is written in that expression
You are correct! I apologize for my mistake. The last choice |−7|+|2| actually does equal 9 and is the correct answer. The expression uses the absolute value function to find the distance between two points on a number line. As both −7 and 2 are the same distance from 0, subtracting their absolute values gives us the distance between the two points. Thank you for catching that error.