Answer:
GCF = 4xy⁷z
Step-by-step explanation:
Do Prime Factorizations for each term and select only those terms common to each:
28xy⁹z = 2·2·7·x·y·y·y·y·y·y·y·y·y·z
32x²y⁷z = 2·2·2·2·2·x·x·y·y·y·y·y·y·y·z
GCF = 2·2·x·y·y·y·y·y·y·y·z
GCF = 4xy⁷z
Okay, so supplementary angles = 180 degrees.
Starting equation : 4y + 7 + 9y + 4 = 180
Combine like terms : 13y + 11 = 180
Subtract 11 from both sides : 13y = 169
Divide 13 from both sides : y = 13
Insert y value into original m<2 equation : 9(13) + 4
Solve : 121 degrees
If you want to check your work, all you have to do is insert y value into original m<1 equation and then add both m<1 and m<2. If they equal 180, your answer is correct.
4(13) + 7 = 59
59 + 121 = 180
Equation :
[x(x+4)]/2=6 (as (b*h)/2=A)
x*x + 4*x -12 = 0
so, x = 2 units(as -6 is negative)
I believe the term would be radicand
So the best way to do these is concentration1 (%) × volume1 = concentration2 × volume2
Or C1V1 + C2V2 = C3V3, where C1 = 100% (bc ALL pecans), V1 = 6 lbs, C2 = 70%, C3 = 82%:
100%×6 + 70%×v2 = 82%×(6+v2)
100%=1.00, 70%=.7, 82%=.82
note: if none is poured out then v3 = v1+v2
6 + .7v2 = .82 (6+v2)
6 + .7v2 = 4.92 + .82v2
6 + .7v2 -.7v2 = 4.92 + .82v2 -.7v2
6 = 4.92 + .12v2
6-4.92 = 4.92-4.92 + .12v2
1.08 = .12v2
.12v2/.12 = 1.08/.12
v2 = 9 lbs
that's only v2!!!
For the final poundage, we need v3:
v3 = 6 + v2 = 6 + 9 = 15 lbs
