SOLUTION: 19. The product of two consecutive positive integers is 42. Write and solve a quadratic equation to find the solutions. Then show how you use those solutions to find the two cons
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Question 1155921: 19. The product of two consecutive positive integers is 42. Write and solve a quadratic equation to find the solutions. Then show how you use those solutions to find the two consecutive positive integers.
20. A cannon ball is shot from a cannon on top of a hill that is 73.5 meters above sea level. The cannon ball leaves the cannon with a velocity of 9.8 m/s. Write and solve a quadratic equation to determine when the cannon ball will reach sea level
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
19.
Let first integer be
Let second integer be
if their product is , we have
..factor
=> solutions:
if =>
if =>-> disregard negative solution
so, the two consecutive positive integers are
20.
the projectile height is modeled by the equation
and can be written using metric units as
where the units are converted from feet to meters
so, using
...plug in given and ,
when the cannon ball reach sea level,
so,
solutions:
if =>
if =>
your solution will be:
since is not acceptable value
Hence, the cannon ball will reach sea level atseconds.
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