Respuesta :

Answer:

d=5

Step-by-step explanation:

1. use the distance formula: d=[tex]\sqrt{(x_{2} - x_{2} )^{2} +(y_{2} -y_{1} )^{2}[/tex]

2. plug in the points: d=[tex]\sqrt{(0-4)^{2} +(-9+6)^{2}[/tex]

3. solve problem inside parentheses: d=[tex]\sqrt{(-4)^{2} +(-3)^{2}[/tex]

4. square -4 and -3: d=[tex]\sqrt{16+9[/tex]

5. add:d=[tex]\sqrt{25[/tex]

6. find square root: d=5