Factored form - x= -1/2, -5/4
X = 10
The triangles are similar by SAS, so we can set up a proportion of their sides.
9/(33-9) = 12/(3x+2)
9/24 = 12/3x+2
Reduce
3/8 = 12/3x+2
Cross multiply
3(3x+2) = 12*8
Distribute and multiply
9x + 6 = 96
Subtract 6
9x = 90
Divide by 9
x = 10
Check:
9/24 = 12/3x+2
9/24 = 12/3*10 + 2
9/24 = 12/30 + 2
9/24 = 12/32
3/8 = 3/8 :)
The penny will fall 112 feet the fourth second, 144 feet the fifth second, and 176 feet the sixth second. Therefore, the penny will be a total of 576 feet from the cliff at six seconds.
Answer:
b. 75
Step-by-step explanation:
a(n) = a1 + d(n-1)
a(n) = 8.5 + 3.5(n - 1)
a(20) = 8.5 + 3.5(20 - 1)
a(20) = 8.5 + 3.5(19)
a(20) = 8.5 + 66.5
a(20) = 75
