Question

57 minutes remaining 11 of 11 questions remaining (6) extraneous solution the set of all y values (7) zero of a polynomial function a function with y - axis symmetry (8) horizontal line test relation in which every element x of the domain is paired with exactly one element y of the range an equation with no solution (9) exponential growth also called an x - intercept (10) exponential decay select match 4 points question 2 which of the following is the distance between the points (-4, 1) and (5, -2)? last saved 6:29:55 pm questions filter (11)

Explanation:

Step1: Recall distance formula

The distance \( d \) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by \( d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \).

Step2: Identify coordinates

Here, \( x_1 = -4 \), \( y_1 = 1 \), \( x_2 = 5 \), \( y_2 = -2 \).

Step3: Substitute into formula

Calculate \( x_2 - x_1 = 5 - (-4) = 9 \) and \( y_2 - y_1 = -2 - 1 = -3 \).
Then, \( d = \sqrt{9^2 + (-3)^2} = \sqrt{81 + 9} = \sqrt{90} = 3\sqrt{10} \approx 9.4868 \).

Answer:

The distance between the points \((-4, 1)\) and \((5, -2)\) is \( 3\sqrt{10} \) (or approximately \( 9.49 \)).