Persistent? Let's find the imaginary roots...
10v^2+4v+70=0
10v^2+4v=-70
v^2+2v/5=-7
v^2+2v/5+1/25=-7+1/25
(v+1/5)^2=-174/25
v+1/5=(+-)i(174)^(1/2)/5
v=(-1+i(174^.5)/5) and (-1-i(174^.5))/5
note the "i" in both factors...these are imaginary units and if you were to graph the original expression you would see that the curve never touches the x axis...
Answer:
aₙ = a₁ + (n-1)d
where:
aₙ = nth term
a₁ = first term
d = common difference
The sequence 8,9,10,-10 is not an arithmetic sequence.
Step-by-step explanation:
Answer:
Unit rate: $23.80
8 pairs: $190.40
Step-by-step explanation:
To find the unit rate, you divide $71.40 by three in order to get the cost of one.
71.4/3= 23.8
To get 8 pairs you multiply the unit rate by 8.
23.8*8= 190.4
Answer:
As the property of angle in a circle:
angle BAC = arc BC = 116 deg
=> angle BHC = (1/2) angle BAC =(1/2) x 116 = 58 deg
angle HCG = (1/2) arc HF = (1/2) x 24 = 12 deg
B, H , G are on the same line, then:
angle BHC + angle CHG = 180 deg
=> angle CHG = 180 - angle BHC = 180 - 58 = 122 deg
Consider sum of three angles in triangle CHG, then:
angle CHG + angle HCG +angle HGC = 180 deg
=> angle HGC = 180 - angle CHG - angle HCG = 180 - 122 - 12 = 46 deg
=> angle BGC = angle HGC = 46 deg
Hope this helps!
:)
