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h(t)=(49+4.9t)(10-t) solve for t

Sagot :

Answer:

t = ±10

Step-by-step explanation:

after using the FOIL method you have the following:

490 + 49t - 49t - 4.9t²

middle two terms zero out

h(t)= -4.9t² + 490

if you multiply by -10 you can get perfect squares

h(t) = 49t² - 4900 which has two factors:  (7t + 70)(7t - 70)

now set each factor equal to zero and solve:

7t + 70 = 0                      

7t = -70

t = -10

7t - 70 = 0                      

7t = 70

t = 10