5+7+11=23
3+11+53=67
3+11+61=71
are some examples
The equations will only have one solution because they have different slopes and also next time use desmos for those kinds of problems it’ll always help
-151/120x -1 or 1\120 × (-151x -120)
10.5, 11, 11.5, 12, 12.5...this is an arithmetic sequence with a common difference of 0.5
an = a1 + (n - 1) * d
n = term to find = 23
a1 = first term = 10.5
d = common difference = 0.5
sub and solve
a(23) = 10.5 + (23 - 1) * 0.5
a(23) = 10.5 + 22 * 0.5
a(23) = 10.5 + 11
a(23) = 21.5 <===
Answer:
The time taken by object to travel 21 ft is 1 sec
Step-by-step explanation:
The distance travel by falling object given as
d = 5 t + 16 t²
The Distance cover by object to travel = 21 ft
so , from Distance time equation
21 = 5 t + 16 t²
or, 16 t² + 5 t - 21 = 0
Or, 16 t² - 16 t +21 t - 21 = 0
Or, 16 t ( t - 1) + 21 (t - 1) = 0
Or. (t - 1) (16 t + 21) = 0
Or, (t - 1) = 0 And (16 t + 21) = 0
∴ t = 1 And t = (
)
Hence The time taken by object to travel 21 ft is 1 sec Answer