Perimeter of a square is (12x-2y). What is the algebraic expression for the length of the side of the square?
1 answer:
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Answer:
°
Step-by-step explanation:
The law of sines is a property of all triangles that relates the sides and angles of a triangle. This property states the following:
Where side (A) is the side opposite angle (<a), side (B) is the side opposite angle (<b), and side (C) is the property opposite angle (<c).
Substitute each of the sides and respective angles into the formula, and solve for the unknown angle (<x). Please note that a triangle with two congruent sides (referred to as an isosceles triangle) has a property called the base angles theorem. This states that the angles opposite the congruent sides in an isosceles triangle are congruent. Therefore, there can be two (<x)'s in this triangle.
One can shorten the equation so it only holds the parts that will play a role in solving this equation,
Now take the cross product in this equation to simplify it further,
Inverse operations, solve this equation for (x),
Let x be the number of loaves of banana bread and y be the number of loaves of nyt bread Elena makes.
1. A loaf of banana bread requires 2 cups of flour and 2 eggs, then x loaves require 2x cups of flour and 2x eggs.
2. A loaf of nut bread takes 3 cups of flour and 1 egg, then y loaves require 3y cups of flour and y eggs.
3. Elena has 12 cups flour, then
2x+3y≤12.
4. Elena has 8 eggs, then
2x+y≤8.
5. If she makes $1.50 profit per loaf of banana bread and $2 per loaf of nut bread, then she makes total profit of $(1.50x+2y).
The solution of system of two inequalities
is represented in the attached diagram.
The maximal profit can be obtained at point (3,2), where
Answer: correct choice is C (Elena could make 3 loaves of banana bread and 2 loaves of nut bread to maximize her profit)
