2. 3x + 2y = 22 5x – 2y = 42
2 answers:
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Answer:
Step-by-step explanation:
Completing the square is a process of converting a quadratic equation in standard form into vertex form.
The first step in completing the square is grouping the quadratic and linear terms of the quadratic equation.
Factor out the coefficient of the quadratic term,
Now complete the square, add a term to make the grouped part of the equation a complete square, then balance the equation.
Simplify,
The x-coordinate of the vertex of the equation is equal to (-1) times the numerical part of the quadratic term, and the y-coordinate is equal to the constant.
Answer:
24 and 20
Step-by-step explanation:
opposite sides are equal
The perimeter of a square with side a = 7.2 cm is 28.8 cm. Yes there exists a direct proportional relationship between Side length and Perimeter of square
<h3><u>Solution:</u></h3>Given that side of square "a" = 7.2 cm
We have to find the perimeter of square
<em><u>The perimeter of square is given as:</u></em>
Perimeter of square = 4a
Where "a" represents the length of side of square
Substituting the given value a = 7.2 cm in above formula, we get perimeter of square
Perimeter of square = 4(7.2) = 28.8 cm
<em><u>Are the perimeter of the square and the length of its side directly proportional quantities?</u></em>
The Perimeter is equal to a constant times the Side length, or the Perimeter divided by the Side length is equal to four. So this is definitely a proportional relationship between Side length and Perimeter.
Two values are said to be in direct proportion when an increase in one results in an increase in the other.
So when length of sides increases, perimeter also increases
Hence perimeter and length of side of square are directly propotional quantities