Answer:

Step-by-step explanation:
simplify

to

then
-0.05 × 120 = -6
then we have our answer
-6√2
Answer:
(23/4, 17/4)
Step-by-step explanation:
The vector from A to B is ...
... V = B - A = (2-7, 5-4) = (-5, 1)
Point P that divides AB the way you want is 1/4 of that from A:
... P = A + (1/4)×V = (7, 4) + (-5/4, 1/4)
... P = (5 3/4, 4 1/4) = (23/4, 17/4)
Answer:
3. f(12) = -10; f(37) = -60
4. f(12) = -102; f(37) = -352
Step-by-step explanation:
3. Put the numbers in the formula and do the arithmetic:
f(12) = 12 -2(12-1) = 12 -22 = -10
f(37) = 12 -2(37-1) = 12 -72 = -60
__
4. The explicit formula for an arithmetic sequence with first term a1 and common difference d is ...
an = a1 +d(n -1)
Your sequence has a first term a1=8 and a common difference d=-10.
As above, fill in the numbers and do the arithmetic.
f(12) = 8 -10(12 -1) = -102
f(37) = 8 -10(37-1) = -352
Sometimes there is no apparent way to factor it by hand /(the factors are decimals or imaginary). To try and factor these problems is nearly impossible in your head.