Answer:
Step-by-step explanation:
Answer:
-xy^6 +2y -6
Step-by-step explanation:
(-6x^2 y^8+12xy^3-36xy^2)
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6xy^2
Divide each term by 6 in the numerator and denominator
(-6/6x^2 y^8+12/6xy^3-36/6xy^2)
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6/6xy^2
-x^2y^8 +2xy^3 -6xy^2
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xy^2
Divide each term by x in the numerator and denominator
-x^2/xy^8 +2x/xy^3 -6x/xy^2
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x/xy^2
-xy^8 +2y^3 -6y^2
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y^2
Divide each term by y^2 in the numerator and denominator
Remember when dividing, we subtract the exponents
-xy^8/y^2 +2y^3/y^2 -6y^2/y^2
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y^2 /y^2
-xy^6 +2y^1 -6
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1
-xy^6 +2y -6
Hey!
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The opposite of -10 is 10.
Number line in image below.
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Hope This Helped! Good Luck!
(cos(x) + cos(y))^2 + (sin(x) - sin(y))^2 Remove the brackets
cos^2(x) + cos^2(y) + 2cos(x)*cos(y) + sin^2(x) - 2(sin(x)*sin(y) + sin^2(y) Combine these two in bold to make 1 because sin^2(x) + cos^2(x) = 1
1 + cos^2(y) + 2cos(x)*cos(y) - 2*sin(x)*cos(y) + sin^2(y)
These two in bold also make 1
2 + 2cos(x)*cos(y) - 2*sin(X)*sin(y) Bring out a common factor of 2
2 +2(cos(x)*cos(y) - sin(x)*sin(y) )
but cos(x+y ) = cos(x)*cos(y) - sin(x)*sin(y)
2 + 2* cos(x + y) is your final answer.
Step-by-step explanation:
I guess, it means every meter costs these amounts.
and the specified costs are not fit the whole bundle.
it is also unclear, if "half of it" means half of the original x meters, or half of the remaining meters (after selling 2/5 of the original meters). I assume the first.
so, we have
-5x
+ 2/5x × 5.5
+ 1/2x × 6.4
+ (10/10 - 4/10 - 5/10)x × 6 = + 1/10x × 6
= 120 ( a income minus costs is the profit, so balancing both sides in a "+" and "-" expression gives us the remaining profit).
about the line with the 1/10 :
the leftovers. 10/10 is the whole x at the beginning.
2/5 = 4/10.
1/2 = 5/10.
I brought all involved fractions to the same denominator of the smallest common multiple of 2 and 5 (10).
in full
-5x + (2/5)x×5.5 + (1/2)x×6.4 + (1/10)x×6 = 120
-5x + 2.2x + 3.2x + 0.6x = 120
-5x + 6x = 120
x = 120
so, he bought 120m in the first place.
