Answer:
x=12
Step-by-step explanation:
the difference is multiply by 3
4*3=12
Answer:
A 15:30 which is also equal to 1:2
B 5:25 which is also equal to 1:5
C 10:20 which is also equal to 1:2
Step-by-step explanation:
the perfect squares are 1,4,9,16,25
list of prime numbers until 30 are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29
9514 1404 393
Answer:
Step-by-step explanation:
For the GCF to be 6, terms of the polynomial must be multiples of 6, but must have no other common factors. A simple polynomial that meets this requirements is ...
6a +12b
One equivalent form can be had by factoring 6 from the terms:
6(a +2b)
Since 6 has a factorization of its own, another equivalent form can be had by factoring out one of the factors of 6. The ones of interest are 2 and 3, so we can write ...
2(3a +6b)
or ...
3(2a +4b)
Minimize
subject to
. The Lagrangian would be
and has partial derivatives
Setting each partial derivative to 0, we have
From the third equation, it follows that either
or
. In the second case, we arrive at a contradiction:
since both
and
must be non-negative, yet this would mean e.g.
. So it must be that
.
The first and second equations then tell us that
from which we obtain
.
Thus the points on the cone closest to (16, 6, 0) are
.
In addition or subtraction?
Y+8=4
Y-12=2x-8
+12
—————-
Y=2x+14