Provide an appropriate response.
-What is the distance from the point (a, w) to the point (m, q)?
A) $\sqrt { ( m - a ) ^ { 2 } - ( q - w ) ^ { 2 } }$
B) $\sqrt { ( a - w ) ^ { 2 } + ( m - q ) ^ { 2 } }$
C) $[ \sqrt { m - a } + \sqrt { q - w } ] ^ { 2 }$
D) $\sqrt { ( m - a ) ^ { 2 } + ( q - w ) ^ { 2 } }$

Question

Provide an appropriate response.
-What is the distance from the point (a, w) to the point (m, q)? 
A) $\sqrt { ( m - a ) ^ { 2 } - ( q - w ) ^ { 2 } }$
B) $\sqrt { ( a - w ) ^ { 2 } + ( m - q ) ^ { 2 } }$
C) $[ \sqrt { m - a } + \sqrt { q - w } ] ^ { 2 }$
D) $\sqrt { ( m - a ) ^ { 2 } + ( q - w ) ^ { 2 } }$

Quizplus · Accepted Answer

The distance between two points $(a, w)$ and $(m, q)$ in a Cartesian plane is given by the formula $\sqrt{(m - a)^2 + (q - w)^2}$, which corresponds to choice D. This formula is derived from the Pythagorean theorem.

Provide an Appropriate Response (m−a)2−(q−w)2\sqrt { ( m - a ) ^ { 2 } - ( q - w ) ^ { 2 } }(m−a)2−(q−w)2​

Provide an Appropriate Response $\sqrt { ( m - a ) ^ { 2 } - ( q - w ) ^ { 2 } }$