What is the missing constant term in the perfect square that starts with
x2+14xx^2+14x
x
2
+14x
x, squared, plus, 14, x
?

49

Step-by-step explanation:

The expression is given below:

x^2 + 14x

Let y be the constant that will make the expression a perfect square. Therefore, the expression can be written as:

x^2 + 14x + y

Applying the formula b^2 = 4ac, we can easily obtain the value of y as shown below:

x^2 + 14x + y

Coefficient of x^2 (a) = 1

Coefficient of x (b) = 14

Constant (c) = y

b^2 = 4ac

14^2 = 4 x 1 x c

196 = 4c

Divide both side by the coefficient of c i.e 4

c = 196/4

c = 49

Thus, 49 must be added to the expression to make it a perfect square.

the mean and mad

step-by-step explanation:

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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