The line that maps a figure onto itself is a line of symmetry of the figure.
From the given trapezoid, the line of symmetry of the trapezoid is x = -2.
Therefore, the <span>equation for the line of reflection that maps the trapezoid onto itself</span> is x = -2.
-
=x
You must find a common denominator(bottom)
×
=
-
=
Your answer is x=
Answer:
Step-by-step explanation:
From the given information:
a) To express the weekly profit as a function of price
Cost =C(q) = 1500 + 10q
Revenue = p×q = (50 − 0.1q)×q = 50q - 0.1q²
Revenue = 50q - 0.1q²
Weekly profit = Revenue - Cost
P(q) = (50q -0.1q²) - (1500 + 10q)
P(q)= -0.1 q² + 40 q - 1500
However, q = 500 - 10 p using p = 50 − 0.1q
P= -0.1 (500 - 10 p)² + 40 (500 - 10 p) - 1500
P= -10 p² + 600 p - 6500
b)
The price at which the bottle of the wine must be sold to realise a maximum profit can be determined by finding the derivative and then set it to 0
P' = 0
= -20p+600 = 0
20p = 600
p = 600/20
p = $30
c)
The maximum profit that can be made by the producer is:
P= -10(30)² + 600(30) - 6500
P = - 9000 + 18000 - 6500
P = $2500
The right answer for the question that is being asked and shown above is that: "<span>C. 4sqrt. 3 - 4sqrt. 3."
</span>
The right answer for the question that is being asked and shown above is that: "<span>B. 3 sqrt. 10 -3 sqrt. 10." </span>
3x + 4y = 0
3x = -4y
x = 4y/3
5x - 6y = -38
(5*4y/3) - 6y = -38
(20y/3) - 6y = -38
(20y - 18y) / 3 = -38
2y = -114
y = -57
x = 76
