Factor the following:
3 x^2 + 27 x + 60
Factor 3 out of 3 x^2 + 27 x + 60:
3 (x^2 + 9 x + 20)
The factors of 20 that sum to 9 are 5 and 4. So, x^2 + 9 x + 20 = (x + 5) (x + 4):
Answer: 3 (x + 5) (x + 4)
The correct answer is d. 9 + 0 = 9
Further explanation:
If x is an element of a set, and adding a number to it doesn't change it i.e. the result is also x then the number is called additive identity.
In mathematics, 0 is considered as additive identity because no matter with which number it is added, the number always remains same.
In the given options:
Option a. 5*1=5 demonstrates multiplicative identity
Option b. 3+5=5+3 demonstrates commutative property
Option c. 4+ (6 + 8) = (4+6) +8 demonstrates associative property
While the last option
d. 9 + 0 = 9 demonstrates additive identity as zero is being added to 9 and the answer is also 9.
The correct answer is d. 9 + 0 = 9
Keywords: Identities, Properties
Learn more about set properties at:
#LearnwithBrainly
Answer:
Step-by-step explanation:
Area of the figure = Area of semicircle + area of rectangle
Area of semicircle:
d = 14 mm
r = 14/2 = 7 mm
Area = (1/2)πr²
![=\frac{1}{2}*\frac{22}{7}*7*7\\](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B2%7D%2A%5Cfrac%7B22%7D%7B7%7D%2A7%2A7%5C%5C)
=11 *7
= 77 mm²
Area of rectangle:
length = 14 mm
Width = 10 mm
Area = length *width
= 14 * 10
= 140 mm²
Area of the figure = 77 + 140 = 217 mm²