Question

Write the ordered pair that represents mp. Then find the magnitude of mp.
M(2, -1), P(-3, 4)

Answer 1

C

Just took the practice it was right

Answer 2

The magnitude of ordered pair MP is 7.07, If the given points are M (2,-1) and P (-3, 4).

Explanation:

The given is,

The ordered pair that represents MP

M (2, -1)

P (-3, 4)

Step:1

Distance formula can be used to calculate the magnitude,

Formula to calculate magnitude of point MP is,

`Magnitude = \sqrt{(x_(2)-x_(1))^(2)+(y_(2) -y_(1) )^(2) }`................(1)

Where,
`(x_(1), x_(2) )` and
`(y_(1), y_(2) )` are points

From the given values,

M (2, -1) -
`(x_(1), y_(1) )`

P (-3,4) -
`(x_(2), y_(2) )`

Equation (1) becomes,

`Magnitude of MP = \sqrt{(-3-2)^(2)+(4 +1 )^(2) }`

`= \sqrt{(-5)^(2)+(5 )^(2) }`

`= √(25+25)`

`= √(50)`

= 7.07106 ≅ 7.07

Magnitude of MP = 7.07

Result:

The magnitude of ordered pair MP is 7.07, If the given points are M (2,-1) and P (-3, 4).