3(x^2+10x+5)-5(x-k)=
3x^2+30x+15-5x+5k=
3x^2+25x+15+5k
for this to be divisible by x every term must include x or get eliminated
the problematic terms are 15 and 5k
to eliminate them they must equal 0 when added:
15+5k=0
5k=-15
k=-3
so A) -3 is the solution
Answer:
Step-by-step explanation:
Tan(51) = opposite / adjacent
The adjacent side makes up the reference angle (51o)
The opposite side is not part of the reference angle
adjacent side = x
opposite side = 16
Tan(51) = 16 / x Multiply both sides by x
x * Tan(51) = 16 Divide by tan 51
x = 16 / tan(51)
tan(51) = 1.2349
x = 16 / 1.2349
x = 12.96
Answer:
A. 30 : 54
Step-by-step explanation:
If you divide 30 by 6 and 54 by 6, you'll get a ratio of 5 : 9, which is the same ratio shown in the problem
Hope this helps :)
square root of (9-6)^2 +(5-1)^2 = 5
the distance is 5 units