If each side of a square patio is increased by 4 feet, the area of the patio would be 196 square feet. Solve the equation (s+4)2=196 for s to find the length of a side of the patio

The answer to your question is initial length = 10 ft final length = 14 ft

Step-by-step explanation:

Data

length = s

Area = 196

Equation

                        (s + 4)² = 196

Expand

                        s² + 8s + 16 = 196

Solve for s

                        s² + 8s + 16 - 196 = 0

                        s² + 8s - 180 = 0

Factor

                        (s + 18)(s - 10) = 0

Find s₁ and s₂

                         s₁ + 18 = 0           s₂ - 10 = 0

                         s₁ = -18                s₂ = 10                      

Conclusion

The initial length of a side was 10 ft, because the are no negative lengths -18 is discarded.

the best buy, is the 4- kilogram bag of lollipops for $18.40.

step-by-step explanation:

i found my answer by dividing the cost of each bag by their respective weights.

14.88 divided by 2 = 7.44

17.29 divided by 3 = 5.77

18.4 divided by 4 = 4.6

24.4 divided by 5 = 4.88

by this, i found that the 4 kilo bag is the best buy.

the one that has a slope of 1/2 and is positive.

step-by-step explanation: 2 buckets 1 trip ; 4 buckets 2 trips and so on.