Question

b(-7,11) 11 9 7 5 3 1 z(-4,0) -1.5 -8 -7 -6 -5 -4 -3 -2 e(5,6) 10.82 7.21 10.82 3.61 d=\sqrt{( )^{2}+( )^{2}} d=

Explanation:

Step1: Use the distance formula

The distance formula between two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\). For points \(B(-7,11)\) and \(Z(-4,0)\), \(x_1=-7,y_1 = 11,x_2=-4,y_2 = 0\). Then \(x_2-x_1=-4-(-7)=3\) and \(y_2 - y_1=0 - 11=-11\).

Step2: Calculate the distance

Substitute into the formula: \(d=\sqrt{(3)^2+(-11)^2}=\sqrt{9 + 121}=\sqrt{130}\approx11.4\)

Answer:

The first box: \(x_2 - x_1\) (or \(3\)), the second box: \(y_2 - y_1\) (or \(-11\)), \(d=\sqrt{130}\approx11.4\)