Answer:
1. B 2. C
Step-by-step explanation:
1. x^2-18x+(18/2)^2=19+(18/2)^2
(x-18/2)^2=100
(x-9)^2=100
x1= -1 x2= 19
2. x^2=81
x=+-9
x1=-9 x2=9
Answer:
Step-by-step explanation:
The weight of an object on Moon is 6 times smaller than same on Earth.
<u>If it weights 18/5 kg on Earth then its weight on Moon is:</u>
Answer:
you will have to have 2,184 games to have a winner
Step-by-step explanation:
Answer:
x = 0.85476
Step-by-step explanation:
4ˣ/9ˣ=½
9ˣ / 4ˣ = 2
(9/4)ˣ = 2
2.25ˣ = 2 .... aⁿ = x logₐx = n
log₂.₂₅2 = x
x = 0.85476
Triangular sequence = n(n + 1)/2
If 630 is a triangular number, then:
n(n + 1)/2 = 630
Then n should be a positive whole number if 630 is a triangular number.
n(n + 1)/2 = 630
n(n + 1) = 2*630
n(n + 1) = 1260
n² + n = 1260
n² + n - 1260 = 0
By trial an error note that 1260 = 35 * 36
n² + n - 1260 = 0
Replace n with 36n - 35n
n² + 36n - 35n - 1260 = 0
n(n + 36) - 35(n + 36) = 0
(n + 36)(n - 35) = 0
n + 36 = 0 or n - 35 = 0
n = 0 - 36, or n = 0 + 35
n = -36, or 35
n can not be negative.
n = 35 is valid.
Since n is a positive whole number, that means 630 is a triangular number.
So the answer is True.
