Use the chart to multiply the binomial by the trinomial.
2 answers:
Answer:
The result of the multipy the binomial by the trinomial is y^3+27.
Step-by-step explanation:
To complete the empty spaces of the chart we multipy the term of the row with the term of the column.Then we sum each monomial of the chart:
y^3-3y^2+9y+3y^2-9y^2+27 = y^3+0y^2+0y+27 = y^3+27
Answer: " -2y³ + 3y²<span> + 27y " .
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Refer to the completed chart below (image attached).</span>
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Using the completed chart below (image attached), we can write out the terms:
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y³ − 3y³ + 9y² + 3y² − 9y² + 27y ;
Then, we can combine the "like terms" ;
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y³ − 3y³ = -2y³ ;
+9y² + 3y² − 9y² = + 3y² ;
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to get: -2y³ + 3y² ; and bring down the "+27y" ;
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Answer: " -2y³ + 3y²<span> + 27y " . </span>Refer to chart below (image attached).
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_______________________________________________________
Refer to the completed chart below (image attached).</span>
_______________________________________________________
Using the completed chart below (image attached), we can write out the terms:
__________________________________________________
y³ − 3y³ + 9y² + 3y² − 9y² + 27y ;
Then, we can combine the "like terms" ;
__________________________________________
y³ − 3y³ = -2y³ ;
+9y² + 3y² − 9y² = + 3y² ;
___________________________________________________________
to get: -2y³ + 3y² ; and bring down the "+27y" ;
___________________________________________________________
Answer: " -2y³ + 3y²<span> + 27y " . </span>Refer to chart below (image attached).
___________________________________________________________
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Answer:
160 lbs = 72.57kg
Step-by-step explanation:
This can be solved as a rule of three problem.
In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.
When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too.
When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease.
Unit conversion problems, like this one, is an example of a direct relationship between measures.
Each lb has 0.45kg. How many kg are there in 160lbs. So:
1lb - 0.45kg
160 lbs - xkg
kg
160 lbs = 72.57kg
Solution:
In Parallelogram B CDE
BC= DE, BC ║DE
CD = BE , CD ║BE
Also, ∠B=∠D and ∠C=∠E →→In a parallelogram opposite sides are equal and parallel, as well as opposite angles are equal.Diagonals Bisect each other.
∠B= 60° , ∠C ED= 40°
CE is a transversal and BC║DE.
∠CED=∠BCE = 40° →→Alternate interior angles
In Δ BCE
∠B + ∠BCE + ∠BEC= 180°→→→Angle sum property of Triangle.
60° + 40° + ∠ B E C= 180°
100° + ∠BEC=180°
∠BEC= 180° -100°
∠BEC= 80°
