Answer:
- 3 ≤ x < 0
Step-by-step explanation:
- 3 is included in the set thus x can equal - 3
- 3 is less than all other values in the set including the largest value of 0, thus
- 3 ≤ x < 0
2,3,7,and 5 are the factors
Answer:
9x + 6
Step-by-step explanation:
<u>Step 1: Distribute</u>
5x + (x + 6) + 3x
5x + x + 6 + 3x
<u>Step 2: Combine like terms</u>
5x + x + 6 + 3x
9x + 6
Answer: 9x + 6
Answer:
Assuming the area is made up of a square and a semicircle.
<u>Perimeter</u>
The side length of the square = 18 ft
We can see 3 full side lengths plus one side length from which we need to subtract 12 ft (see attached diagram).
⇒ perimeter of the square = (3 x 18) + (18 - 12)
= 54 + 6
= 60 ft
Circumference of a circle =
d (where d is the diameter)
⇒ arc length of the semicircle = 1/2 circumference
= 1/2 ·
· 12
= 6
ft
Total perimeter = 60 + 6
= 78.8 ft (nearest tenth)
<u>Area</u>
Area of a square = s² (where s is the side length)
⇒ area of square = 18²
= 324 ft²
Diameter = 2r ⇒ r = 1/2 diameter
Area of a circle =
r² (where r is the radius)
⇒ area of the semicircle = 1/2 ·
· 6²
= 18
ft²
Total area = 324 + 18
= 380.5 ft² (nearest tenth)