Question

Distance between (-4, 6) and (3, 7)

Answer 1

Answer:
`5√(2)`

Explanation:

`Distance\ formula=√((x_2-x_1)^2+(y_2-y_1)^2) }`

plugging in the values we know:

`x_2 = 3,\ x_1=-4,\ y_2=7,\ y_1=6`

Therefore,

`Distance=√((3-(-4))^2+(7-6)^2)`

`\rightarrow\ √((3+4)^2+(1)^2)`

`\rightarrow\ √(7^2+1)`

`\rightarrow\ √(50)`

`\rightarrow\ √(5*5*2)`

`\rightarrow\ \large\boxed{5√(2)}`