Answer:
0.448 seconds
Step-by-step explanation:
d = -16t² -4t + 412
find t when d = 407
substituting d = 407 into the equation:
407 = -16t² -4t + 412 (subtract 407 from both sides)
-16t² -4t + 412 - 407 = 0
-16t² -4t + 5 = 0 (multiply both sides by -1)
16t² + 4t - 5 = 0
solving using your method of choice (i.e completing the square or using the quadratic equation), you will end up with
t = (-1/8) (1 + √21)= -0.70 seconds (not possible because time cannot be negative)
or
t = (-1/8) (1 -√21) = 0.448 seconds (answer)
Answer:
Explicit formula: a(n)=3n-6
Recursive formula: a(n)=-3+(n-1)3 <--
Step-by-step explanation:
a(n)=3n-6 where a(1)=3(1)-6=-3 and d=3
<u>Plug values into recursive formula:</u>
a(n)=a1+(n-1)d
a(n)=-3+(n-1)3
Well x is an obtuse angle
but the angle e,f,g is an acute angle