Answer:
so 2a+3b=±13
Step-by-step explanation:
4a²+9b²=97
ab=6
2a+3b=?
by using formula
(a+b)²=a²+b²+2ab
(2a+3b)²=(2a)²+(3b)²+2(2a)(3b)
(2a+3b)²=4a²+9b²+12ab
putting values
(2a+3b)²=97+12(6)
(2a+3b)²=97+72
(2a+3b)²=169
taking square root on both sides
√(2a+3b)²=√169
2a+3b=±13
i hope it will help you
Answer:
1. 665.1075
Step-by-step explanation:
<em>the area of a hexagon is Area = (3√3 s2)/ 2 where s is the length of a side of the regular hexagon </em>
Assuming the equation is 3x-2y+4=0 then the equation of the line, solving for y in terms of x, gives y=3/2x+2 the slope of this line is 3/2 then the slope of a line that is perpendicular is -2/3 .An easy way to see this is to draw the line. By definition the slope, m=tan(α) where α is the angle the line makes with the x axis. Let L=slope of the perpendicular line then L=tan(β) but the two lines with the x axis form a right triangle hence α+π-β=π/2 so β=π/2+α and L=tan(β)=tan(π/2+α)=-cot(α) = -1/tan(α)=-1/m.In our problem m=3/2 so L=-2/3.The geometry becomes clear if you make a sketch of the two lines. Hope this helps
She can arrange them in the following;
1 row of 36
2 rows of 18 (doesnt count because it says other and this has already been mentioned)
3 rows of 12
4 rows of 9 (doesnt count because it says other and this has already been mentioned)
6 rows of 6
Answer:
Yes this compound could be shown to be butane, specifically, it can be shown to be 9 molecules of butane. Check Explanation for more.
Step-by-step explanation:
Butane contains 10 hydrogen atoms for every 4 carbon atoms. It's molecular formula is C₄H₁₀
The hydrocarbon compound presented has 36 carbon atoms and 90 hyfrogen atoms
If the ratio of each of these atoms present is also in the ratio 4:10 like C:H, then, it can be inferred that the compound is indeed Butane
C | H
36 | 90
dividing through by 9, we have
C | H
4 | 10
which is the exact ratio of Carbon to Hydrogen in butane.
Hence, the unknown compound is most likely 9 molecules of butane
9C₄H₁₀ = 36 carbon atoms and 90 hydrogen atoms.
Hope this Helps!!!
