Answer:
The statement is missing. The statement is -- "A ray can be part of a line."
The answer is : The converse is not true, so Jahmiah is correct.
Step-by-step explanation:
A conditional statement is represented by showing p → q. It means if p is correct or true, then q is also correct or true.
And the converse of p → q can be shown as q → p.
But we know that the converse of a statement is not always true, it may be true and may not be true.
In the context, the statement is " a ray can be a part of a line." And so the converse would be "A line can be a part of the ray".
So by definition we know that a line is continuous line having no end points, it extends in one direction. While a ray starts from a point and extends to infinity in one direction.
Thus ray is part of line but line is not a part of the ray. So the converse of the statement is not correct.
Hence, Jahmiah is correct.
Answer:
Since 
, you have the following arrangements.
Optional: 
(and it's mirror version 
, if you want to consider a long strip of bottles a rectangle. Technically it is, but it's open to interpretation.
and it's mirror 
;
and it's mirror 
;
Optional: 
. Since a square is a rectangle with extra limitations.
Answer: 6i) 6a² - 2ab
6ii) -2b³
6iii) b³ + 7b² - 49b
<u>Step-by-step explanation:</u>
6i) (a + b)(5a - 3b) + (a - 3b)(a - b)
= 5a² - 3ab + 5ab - 3b² + a² - ab - 3ab + 3b²
= 5a² + 2ab - 3b² + a² - 4ab + 3b²
= 6a² - 2ab
6ii) (a - b)(a² + b² + ab) - (a + b)(a² + b² - ab)
= a³ + ab² + a²b - ab² - a²b - b³ - (a³ + ab² - a²b -ab² + a²b + b³)
= a³ - b³ - (a³ + b³)
= a³ - b³ - a³ - b³
= -2b³
6iii) (b² - 49)(b + 7) + 343
= b³ + 7b² - 49b - 343 + 343
= b³ + 7b² - 49b
You are allowed a maximum of 3 questions.
Please post #7 on a different question.
Answer:
The nth term of the given sequence tₙ = 3 n - 7
Step-by-step explanation:
Given sequence - 4 , -1 , 2 , 5, 8 , .....
First term a = -4
The difference of two terms of a given sequence
d = -1 - (-4) = -1 +4 = 3
d = 2 - (-1) = 2 +1 = 3
d = 5 -2 = 3
d = 8 - 5 =3
The difference of two terms of a given sequence is equal
∴ The given sequence is in Arithmetic progression(AP)
The nth term of given sequence
<u><em>Final answer:</em></u>-
The nth term of the given sequence tₙ = 3 n - 7
