The point of elimination is to have one variable so example
3x + 2y = 4
7X + 3y = 5
1) Try to find a way to have one variable
7(3x + 2y = 4) ----> 21x + 14y = 28
-3(7x+ 3y = 5) -----> -21x -9y = -15
2) add
0 + 5y = 13
3) solve for the last variable
5y = 13
y = 13/5 = 2 3/5 = 2.8
4) Subsitute the variable to get the other one
3x + 2(2.8) = 4
3x + 5.6 = 4
3x = -1.6
x = 0.533333333 (continue)
The intersection would be 0.53 with a line above the 3 and 2.8. (0.5333 , 2.8)
Hope you understand!!
Answer:
The sale price is $11.70
Step-by-step explanation:
70% of 39 is 27.3 - to find this, you just multiply 39 x .7 = 27.3
Subtract 27.3 from 39
Your get 11.7
Transformation :
sin α · cos β = 1/2 ( sin ( α - β ) + sin ( α + β ))
...= 1/2 ( sin ( - 375 ) + sin ( 2 x + 443 ) ) + 1/2 ( sin (-225)+ sin ( 2 x + 263 ))=
= 1/2 ( 1/√2 + sin ( 2 x + 443 ) + 1/2 ( 1/√2 + sin ( 2 x + 263 ) =
= 1/2√2 + 1/2√2 + 1/2 ( sin ( 2 x + 443 ) + sin ( 2 x + 263 ) ) =
= 1/√2 + 1/2 · ( 2 · sin (( 4 x + 706 ) / 2) + cos ( 180 / 2 ) =
( since cos 180°/2 = cos 90° = 0 )
= 1/√2 + 0 = 1/√2 ( correct )
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Otto von Bismarck
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In the 1860s, Otto von Bismarck, then Minister President of Prussia, provoked three short, decisive wars against Denmark, Austria, and France, aligning the smaller German states behind Prussia in its defeat of France. In 1871 he unified Germany into a nation-state, forming the
German Empire
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