Answer:
When x = 12, y = 4.
Step-by-step explanation:
If
y
∝
x
we can write that
y
=
k
⋅
x
where k is a constant of proportionality.
Using the values given:
6
=
18
⋅
k
⇒
k
=
1
3
y
=
1
3
⋅
12
=
4
a. Notice that
1/(1*2) = 1/2 = 1 - 1/2
1/(2*3) = 1/6 = 1/2 - 1/3
1/(3*4) = 1/12 = 1/3 - 1/4
and so on, which suggests the n-th term of the sum can be written as
Then the sum itself is telescoping:
b. The proof is trivial:
so the formula found in (a) is correct.
Answer: 10
Step-by-step explanation:
use a^2 + b^2 = c^2
where a = |y2 - y1| = 11 - 3 = 8
where b = |x2 - x1| = |-2 - 4| = |-6| = 6
8^2 + 6^2 = c^2
100^2 = c^2
c = 10
The percent notation of 0.23 is 23% (
).
Hope this helps !
Photon
Answer:
6x^2 + 4xy
Step-by-step explanation: