Question

pythagorean distance
what is the horizontal distance a?
points: (-2, 11) (-5, 7)
a = δx =?
pvthagorean formula c² = a² + b²

Explanation:

Step1: Recall the formula for horizontal distance (Δx)

The horizontal distance between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by \(\Delta x = |x_2 - x_1|\).
Here, the two points are \((-2, 11)\) and \((-5, 7)\), so \(x_1=-2\) and \(x_2 = -5\).

Step2: Calculate the difference in x - coordinates

Substitute the values into the formula: \(\Delta x=|-5 - (-2)|\).
Simplify the expression inside the absolute value: \(-5-(-2)=-5 + 2=-3\).

Step3: Take the absolute value

Take the absolute value of \(-3\): \(|\ -3\ | = 3\).

Answer:

3