On a coordinate grid, a grocery store is located at (3,0) and the hardware store is located at (4,3). If the hardware store is the midpoint between the
grocery store and the pharmacy, what is the approximate distance from
the hardware store to the pharmacy? (Note: 1 unit equals 5 miles) *
7.5 miles
15.8 miles
O 79 miles
O 17.5 miles

Hence the required distance is 6.32 units.

Step-by-step explanation:

Given that , On a coordinate grid, a grocery store is located at (3,0) and the hardware store is located at (4,3). If the hardware store is the midpoint between the grocery store and the pharmacy .

And we need to find approximate distance from

the hardware store to the pharmacy .

⇒ Midpoint = ( x1 + x2 )/2 , (y1 + y2 )/2

⇒ 4,3 = (3+x)/2 , (y+0)/2

⇒ 4,3 = (3+x)/2 , y/2

⇒ 4 = 3+x/2

⇒ 3+x = 8

⇒ x = 8-3

⇒ x = 5

⇒ y/2 = 3

⇒ y = 3*2

⇒ y = 6

Hence the coordinate of pharmacy is (5,6)

⇒ Distance = √ [ (x2 -x1 )² + (y2 - y2)² ]

⇒Distance = √ [ (5-3)² + (6-0)² ]

⇒ Distance = √ [ 2² + 6² ]

⇒ Distance= √ 4 + 36

⇒ Distance = √ 40

⇒ Distance = 6.32 units

the correct answer to your question is a. 4^4

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