Question

Find the distance between the point P(-3,0)and Q(-7,0)​ step by step​

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

Answer :

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Concept :

They have given a two points P and Q . By using distance formula we are going to find a distance between two points .

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Given :

Two points are

• P(-3,0)
• Q(-7,0)

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Formula going to use is :

${ \underline{ \boxed{ \pmb{ \frak { \red{D = \sqrt{ {(x_2 - x_1)}^{2} + {(y_2 - y_1)}^{2} } }}}}}}$

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Value are :

$\star \: \: \bf \pink{ x_1 = - 3}$

$\star \: \: \bf \pink{ y_1 = 0}$

$\star \: \: \bf \pink{ x_2= - 7}$

$\star \: \: \bf \pink{ y_2 = 0}$

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Substitute the values in formula :

${ \underline{ \boxed{ \pmb{ \frak { \red{D = \sqrt{ {(x_2 - x_1)}^{2} + {(y_2 - y_1)}^{2} } }}}}}}$

$\longmapsto{ \purple{ \tt{D \: = \sqrt{ {( - 7 + 3)}^{2} + {(0 + 0)}^{2} } }}}$

$\longmapsto{ \purple{ \tt{D \: = \sqrt{ {( - 4)}^{2} + 0}}} }$

$\longmapsto{ \purple{ \tt{D \: = \sqrt{16}}}}$

${ \underline{ \boxed{ \bf{ \orange{D \: =4 \: \: units}}}}}$

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