Answer:
a₄=8n+1= -39.
Step-by-step explanation:
1) if a₁=3n; a₃=5n-6 and a₅=11n+8, then it is possible to calculate the difference according to 0.5(a₅-a₃)=0.5(a₃-a₁). Then
2) 0.5(11n+8-5n+6)=0.5(5n-6-3n); ⇔ 6n+14=2n-6; ⇔ n= -5.
3) if n=-5, then the 4th term is:

or a₄=-39.
Answer:
Least to greatest is 81/10, 8 1/9, 8.115 and 9.95
Step-by-step explanation:
Let's simplify step-by-step.
<span><span>12<span>x^2</span></span>+<span>9<span>x^2
</span></span></span>Combine Like Terms:
<span>=<span><span>12<span>x^2</span></span>+<span>9<span>x^2
</span></span></span></span><span>=<span>(<span><span>12<span>x^2</span></span>+<span>9<span>x^2</span></span></span>)
</span></span><span>=<span>21<span>x^<span>2</span></span></span></span>
Step-by-step explanation:
constant variation is direct and the slope is constant
Answer:
The diagonal is irrational because it is a product of a rational and an irrational number
Step-by-step explanation:
The options are not given. However, the question is still answerable.
Given
Shape: Square
Length: Rational
Since the side length is said to be rational, I'll answer the question based on whether the diagonal is rational or not.
Having said that:
The diagonal (d) of a square with side length (l) is calculated using Pythagoras theorem.


Take positive square root of both sides

Split:


Recall that the side length (l) is rational.
However,
is irrational.
So, the product of l and
will be irrational
Hence:
The diagonal is irrational