Piper claims that 3(2a + 2) is equivalent to 5a + 6. She checks her claim by substituting -3 for a. Is Piper's claim correct? Wh
1 answer:
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Answer:
addition
Step-by-step explanation:
The given expression is
We want to determine the last operation performed when evaluating this expression for x=3.
We substitute to get:
Multiply within the parenthesis to get:
Subtract to get:
Evaluate the exponent to get:
4+4
Add to obtain:
8
Hence the final operation is addition
Answer
Length = 10 ft
Width = 5 ft
Explanation
Area of the rectangle given = 50 ft²
Let the width of the rectangle be x
So this means the length of the rectangle will be 3x - 5
What to find:
The dimensions of the rectangle.
Step-by-step solution:
Area of a rectangle = length x width
i.e A = L x W
Put A = 50, L = 3x - 5, W = x into the formula.
The quadratic equation can now be solve using factorization method:
Since the dimension can not be negative, hence the value of x will be = 5.
Therefore, the dimensions of the rectangle will be:
