Answer:
The other solution is 12.
Step-by-step explanation:
Break the solution into groups: (x^2+2x)+(-12x-24)
Factor out the x^2 from the first group to get x(x+2)
Factor out the -12 out of the second group to get -12(x-12)
Here we get (x-12)(x+2)
You can see solutions are -2 and 12.
Answer:
Step-by-step explanation:
The area of the shape is the sum of three sections
<u>1. Rectangle</u>
<u>2. Bigger semicircle</u>
- A = 1/2π(14/2)² = 76.96 ≈ 77 in² (rounded)
<u>3. Smaller semicircle</u>
- A = 1/2π(5/2)² = 9.8174 ≈ 10 in² (rounded)
<u>Total area:</u>
Answer:
6 sides of the hexagon * one side length of 3 inches = 18
Step-by-step explanation:
Answer:
<h3>
- 14</h3>
Step-by-step explanation:
{x - some integer}
2x - the first even integer
2x+2 - the second consecutive even integer
2x+4 - the third consecutive even integer (the largest)
2x + 2x+2 + 2x+4 - the sum of three consecutive even integers
2x + 2x+2 + 2x+4 = -48
6x + 6 = -48
÷3 ÷3
2x + 2 = -16
+2 +2
2x+4 = -14
You subtract normally inside the absolute value (the two bars):
-4-3 is -7
Since the negative is INSIDE the absolute, the answer will turn to a positive. Think of the bars as a jail cell for the negatives. Once the negatives are in there, only positive numbers will come out. So your answer is 7.
