Question

Filiate Consider the line MU for M(-1, 1) and U(4, 5). what’s the distance from M to U ?

Answer 1

Answer:

The answer is

$\sqrt{41} \: \: or \: \: 6.403 \: \: \: units$

Step-by-step explanation:

The distance between two points can be found by using the formula

$d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} }$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

M(-1, 1) and U(4, 5)

The distance from M to U is

$|MU| = \sqrt{ ({ - 1 - 4})^{2} + ( {1 - 5})^{2} } \\ = \sqrt{ ({ - 5})^{2} + ( { - 4})^{2} } \\ = \sqrt{25 + 16}$

We have the final answer as

$\sqrt{41} \: \: or \: \: 6.403 \: \: \: units$

Hope this helps you

Answer 2

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{ \sqrt{41} \: \: units}}}}}$

Step-by-step explanation:

Let M ( -1 , 1 ) be ( x₁ , y₁ ) and U ( 4 , 5 ) be ( x₂ , y₂ )

Finding the distance from M to U

$\boxed{ \sf{distance = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }}$

$\longrightarrow{ \sf{ \sqrt{ {(4 - ( - 1))}^{2} + {(5 - 1)}^{2} } }}$

$\longrightarrow{ \sf{ \sqrt{ {(4 + 1)}^{2} + {(5 - 1)}^{2} } }}$

$\longrightarrow{ \sf{ \sqrt{ {(5)}^{2} + {(4)}^{2} } }}$

$\longrightarrow{ \sf{ \sqrt{25 + 16}}}$

$\longrightarrow{ \sf{ \sqrt{41} }}$ units

The distance from M to U is $\sf{ \sqrt{41} \: \: units}$

Hope I helped!

Best regards! :D