Answer:
Step-by-step explanation:
Hello:
the equation is : y = ax+b
the slope is a : a =2/3 ( same slope parrallal to the line : 2/3x+1=2 )
the line that passes through (-4, 0) : 0 = (2/3)(-4)+b
b = 8/3
the equation is : y = (2/3)x+8/3
Answer:
+ 2
Step-by-step explanation:
Group:
(2
+ 4x) (-5
- 10)
2x (
+ 2) -5 (
+ 2)
Common binomial factor = (
+ 2)
Answer: 80 square units
Step-by-step explanation:

Step-by-step explanation:
The area would be 9 times compared to the area of the original square. To test this, you can let the side of the original square be equal 1. By tripling this side, the side becomes three. Utilizing the area of a square formula, A= s^2, the area of the original square would be 1 after substituting 1 for s. Then, you do the same for the area of the tripled square. With the substitution, the area of the tripled square would be 9. This result displays the area of the tripled square being 9 times as large as the area of the original square. This pattern can be used for other measurements of the square such as:
let s = 2, Original Area= 2^2 = 4 Tripled Area= (2(3))^2 = 6^2= 36. 36/4 = 9
let s = 3, Original Area = 3^2 = 9 Tripled Area - (3(3))^2 = 9^2 =81. 81/9 = 9
let s = 4, Original Area = 4^2 = 16 Tripled Area - (4(3))^2 = 12^2 = 144. 144/16 = 9
let s = 5, Original Area = 5^2 = 25 Tripled Area - (5(3))^2 = 15^2 = 225. 225/25 = 9
let s = 6, Original Area = 6^2 = 36 Tripled Area - (6(3))^2 = 18^2 = 324. 324/36 = 9
let s = 7, Original Area = 7^2 = 49 Tripled Area - (7(3))^2 = 21^2 = 2,401. 2,401/49 = 9
You can continue to increase the length of the square and follow this pattern and it will be consistent.
To be divisible by 63, it must be divisible by both 7 and 9, since 7x9 = 63. Factor the expression, simplify, and see if both 7 and 9 are factors, which would make it divisible by both 7 and 9. (163 - 83)(43 + 23) = [(24)3 - (23)3] [(22)3 + 23] = (212 - 29)(26 + 23) = [29(23 - 1)] [23(23 + 1)] = [29(8 - 1)] [23(8 + 1)] = 29(7) 23 (9) = 63(212) It is a multiple of 63, and hence divisible by 63.