Answer
[tex]\sqrt29[/tex]
Step-by-step explanation:
1. Write the distance formula:
[tex]\sqrt(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2}[/tex]
2. Substitute
Substitue (6, -4) and (1, -6) into
[tex]\sqrt(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2}[/tex]
[tex]\sqrt(1 - 6) ^{2} + (-6 + 4)^{2}[/tex]
3. Calculate
[tex]\sqrt(1 - 6) ^{2} + (-6 + 4)^{2}[/tex]
[tex]\sqrt(-5) ^{2} + (-2)^{2}[/tex]
[tex]\sqrt5 ^{2} + 2^{2}[/tex]
[tex]\sqrt25 + 4[/tex]
[tex]\sqrt29[/tex]
