"You and your friend are working on a schooner. The distance,d, (in miles) you can see to the horizon is modeled by the equation:
d= √3h/2
where h is your eye-level height (in feet) above the water. Your eye level height is 24 feet and your friend's is 12 feet. Write an expression that shows how much farther you can see than your friend. Simplify the expression"
d= √3h/2
where h is your eye-level height (in feet) above the water. Your eye level height is 24 feet and your friend's is 12 feet. Write an expression that shows how much farther you can see than your friend. Simplify the expression"
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simple! just plug in h
so d= sqrt(3(24)/2)-sqrt(3(12)/2)
and so d= sqrt36-sqrt(18)
which is d=6-3sqrt(2)
because 18 is 3*3*6, so you can take the 3 out of the sqrt
so d= sqrt(3(24)/2)-sqrt(3(12)/2)
and so d= sqrt36-sqrt(18)
which is d=6-3sqrt(2)
because 18 is 3*3*6, so you can take the 3 out of the sqrt
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d(24)=√3(24)/2; d(12)=√3(12)/2
d(24)=6√2; d(12)=3√2
6√2-3√2=3√2; you can see 3√2 feet further than your friend.
d(24)=6√2; d(12)=3√2
6√2-3√2=3√2; you can see 3√2 feet further than your friend.
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difference = root(3)*12 - root(3)*6 = root(3)*6
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square of multiply .