Question

Use the order pairs (6, -4) and (-16, -28) to find the following measurements.

(PLEASE GIVE ME EXPLANATION !!)

Answer 1

d= 17.32

Explaination

input the ordered pairs into the equation

d=
`\sqrt{(-16 - (-6)^(2) + (-28 - (-4)^(2) }`

change the sign

d=
`\sqrt{(-16 + 6)^(2) + (-28 + 4)^(2) }`

simplify the equation

d=
`\sqrt{(-10)^(2) + (-24)^(2) }`

distribute the exponent

d=
`√(100) + 200}`

combine the numbers

d=
`√(300)`

find the square root

d= 17.32