Question

e (5,6) z (-4,0) d = \sqrt{( )^{2}+( )^{2}} d =

Explanation:

Step1: Find the difference in x - coordinates

The formula for the distance \(d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\). For points \(Z(-4,0)\) and \(E(5,6)\), \(x_2 - x_1=5-(-4)=5 + 4=9\).

Step2: Find the difference in y - coordinates

\(y_2 - y_1=6 - 0=6\).

Step3: Calculate the distance

Substitute into the distance formula: \(d=\sqrt{(9)^2+(6)^2}=\sqrt{81 + 36}=\sqrt{117}\approx10.82\).

Answer:

The first blank is \(9\), the second blank is \(6\), and \(d = 10.82\).