Select the correct answer.
The endpoints of WX are W(2,-7) and X(5,-4).
A graph is a line that extends between the points W, left parenthesis 2, negative 7 right parenthesis, and X, left parenthesis 5, negative 4 right parenthesis.
What is the length of WX?
A.
B.
C.
D.
E.
To find the length of WX, we can use the distance formula. The distance formula states that the distance between two points (x1, y1) and (x2, y2) is given by:
d = √((x2 - x1)^2 + (y2 - y1)^2)
In this case, W(2, -7) corresponds to (x1, y1) and X(5, -4) corresponds to (x2, y2). Plugging these values into the distance formula, we have:
d = √((5 - 2)^2 + (-4 - (-7))^2)
= √(3^2 + (3)^2)
= √(9 + 9)
= √18
= 3√2
Therefore, the length of WX is 3√2.
The correct answer is B.
To find the length of WX, we can use the distance formula. The distance formula is given by:
Distance = sqrt[(x2 - x1)^2 + (y2 - y1)^2]
In this case, the coordinates of W are (2, -7) and the coordinates of X are (5, -4).
Applying the distance formula, we have:
Distance = sqrt[(5 - 2)^2 + (-4 - (-7))^2]
= sqrt[3^2 + 3^2]
= sqrt[18]
= 3sqrt(2)
Therefore, the length of WX is 3sqrt(2).
The correct answer would be:
A. 3sqrt(2)
To find the length of WX, we need to apply the distance formula.
The distance formula is given by:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Where (x1, y1) = (2, -7) and (x2, y2) = (5, -4).
Plugging in the values into the formula, we get:
d = sqrt((5 - 2)^2 + (-4 - (-7))^2)
Simplifying, we have:
d = sqrt(3^2 + 3^2)
d = sqrt(9 + 9)
d = sqrt(18)
Therefore, the length of WX is sqrt(18).
The correct answer is:
C. sqrt(18)