How do I divide 2x^4 + 5x^3 + x - 1 by x^2 - 2x + 1 using long division?
1 answer:
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The weight of the new student is 27 kg.
Average weight
= total weight ÷total number of students
<h3>1) Define variables</h3>Let the total weight of the 35 students be y kg and the weight of the new student be x kg.
<h3>2) Find the total weight of the 35 students</h3><u></u>
y= 35(45)
y= 1575 kg
<h3>3) Write an expression for average weight of students after the addition of the new student</h3>New total number of students
= 35 +1
= 36
Total weight
= total weight of 35 students +weight of new students
= y +x
36(44.5)= 1575 +x
1602= x +1575
<em>Subtract 1575 from both sides:</em>
x= 1602 -1575
x= 27
Thus, the weight of the new student is 27 kg.
Answer:
The formula for calculating the width of the window is
Step-by-step explanation:
<u><em>The question in English is</em></u>
A rectangular window is l meters wide and h meters high, with a perimeter of 6 meters and an area of 2m². What is the formula for calculating the width of the window?
we know that
The perimeter of the window is equal to
we have
so
simplify
isolate the variable l
----> equation A
The area of the window is equal to
we have
so
----> equation B
substitute equation A in equation B
solve for w
The formula to solve a quadratic equation of the form
is equal to
in this problem we have
so
substitute in the formula
---> formula for calculating the width of the window