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Alex
3 years ago
9

A classic physics problem states that if a projectile is shot vertically up into the air with an initial velocity of 151 feet pe

r second from an initial height of 95 feet off the ground, then the height of the projectile, h, in feet, t seconds after it's shot is given by the equation:
h = - 16t² + 151t +95

Mathematics
1 answer:
madam [21]3 years ago
3 0

Answer:

Step-by-step explanation:

144 = -16t² + 151t + 95

  0 = -16t² + 151t - 49

quadratic formula

t = (-151 ±√(151² - 4(-16)(-49))) / (2(-16))

t = (-151 ± 140.23195) / -32

t = 0.34 s

t = 9.10 s

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Calculate the distance between the points P=(-1, -1) and L=(6, -9) in the coordinate plane.
Over [174]

Answer:

≈ 10.63

Step-by-step explanation:

Calculate the distance d using the distance formula

d = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2    }

with (x₁, y₁ ) = P(- 1, - 1) and (x₂, y₂ ) = L(6, - 9)

d = \sqrt{(6-(-1))^2+(-9-(-1))^2}

   = \sqrt{(6+1)^2+(-9+1)^2}

   = \sqrt{7^2+(-8)^2}

   = \sqrt{49+64}

   = \sqrt{113} ≈ 10.63 ( to the nearest hundredth )

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3 years ago
Help
eimsori [14]

Answer:

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Step-by-step explanation:

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A university will add fruit juice vending machines to its classroom buildings if the student body president is convinced that mo
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5 0
3 years ago
Yves bought 420 tropical fish for a museum display. He bought 6 times as many parrotfish as angelfish. How many of each type of
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