Question

A)What's the distance of a point p (m, n) from the origin.


B)What are the slant height (L) radius (r), and height (h) of a cone are related as.
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Answer 1

$\sf{\Large{\underline {SOLUTION}}}$ :

A ). Coordinates of Origin = ( 0,0)

Coordinates of Point P = ( m, n )

Distance, d = $\sqrt{{(\:x_2\:-\:x_1\:)}^{2}+{(\:y_2\:-\:y_1)} ^{2}}$

Distance, d = $\sqrt{{(\:0\:-\:m\:)}^{2}\:+\:{(\:0\:-\:n)} ^{2}}$

Distance, d = $\sqrt{{m} ^{2}\:+\:{n}^{2}}$

____________________________

B ). Slant height of a cone ( l ), Radius ( r ), and height ( h ) are related as

L = $\sqrt{{h} ^{2}\:+\:{\:r\:}^{2}}$

____________________________

Answer 2

Answer:

\sf{\Large{\underline {SOLUTION}}}

SOLUTION

:

A ). Coordinates of Origin = ( 0,0)

Coordinates of Point P = ( m, n )

Distance, d = \sqrt{{(\:x_2\:-\:x_1\:)}^{2}+{(\:y_2\:-\:y_1)} ^{2}}

(x

2

−x

1

)

2

+(y

2

−y

1

)

2

Distance, d = \sqrt{{(\:0\:-\:m\:)}^{2}\:+\:{(\:0\:-\:n)} ^{2}}

(0−m)

2

+(0−n)

2

Distance, d = \sqrt{{m} ^{2}\:+\:{n}^{2}}

m

2

+n

2

____________________________

B ). Slant height of a cone ( l ), Radius ( r ), and height ( h ) are related as

L = \sqrt{{h} ^{2}\:+\:{\:r\:}^{2}}

h

2

+r

2

____________________________

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