Answer:
x1 = 6 + 2√6 or x2 = 6 - 2√6
Step-by-step explanation:
x² - 12x + 12 = 0
We need to use formula:
a² - 2ab + b² = (a - b)².
x² - 12x = - 12
x² - 2*6x + 6²- 6² = - 12
(x - 6)² - 36 = -12
(x - 6)² = - 12 + 36
(x -6)² = 24
(x - 6) = √24 or (x-6) = -√24
(x - 6) = 2√6 or (x-6) = - 2√6
x = 6 + 2√6 or x = 6 - 2√6
The area is the product of length and width, which is to say that the length and width are factors of the area.
Assuming the dimensions are integers, you want factors of 84 that differ by 5.
... 84 = 1×84 = 2×42 = 3×28 = 4×21 = 6×14 = 7×12
The last of these pairs differ by 5, so ...
- the length is 12 inches
- the width is 7 inches.
Answer:
1).Sugar used in 7 days = 61.25 pounds
2). Total cost of 9 cupcakes = $38.25
Step-by-step explanation:
1). Alani uses 8.75 pounds of sugar each day.
So, sugar used in 7 days = Amount of sugar used in one day × Number of days
= 8.75 × 7
= 61.25 pounds
2). Since, each cupcake costs $4.25
Number of cakes ordered = 9
Total cost of 9 cupcakes = Cost of each cupcake × Number of cupcakes
= 4.25 × 9
= $38.25
