Answer:
-2n²
Step-by-step explanation:
Using the image attached:
We see that the second differences (blue ones) are all equal so we conclude that this is a quadratic sequence.
The quadratic sequence has the form:
To find the value of a we just divide second difference ( -4 ) by 2:
Now we have:
Substitute 
and 
into the equation above:
Since 
= -2 and 
= -8 , after simplification we have:
The solution of this system is:
The general term is :
Answer:
No, it is incorrect. The line should be solid, not dotted, because it's a ≤ sign, not a < sign.
Answer:
x=2
Step-by-step explanation:
i would set up a system of equation using the pythagorean theorem:
1^2+x^2=z^2
4^2+x^2=y^2
Add up these equations to get:
17+2x^2=y^2+z^2
But notice that
y^2+z^2=5^2
So you can substitute
17+2x^2=25
2x^2=8
x^2=4
x=2
:)
Answer: C, D
Step-by-step explanation:
edge2021
The standard form is Ax + By = C
Given the linear equation, y = x + 10, we must transpose x to the left-hand side of the equation:
- x + y = x — x + 10
- x + y = 10
Next, we must multiply both sides by (-1) because A must be positive:
(-1) (- x + y) = 10 (-1)
This leads to:
x — y = -10 in standard form, Ax + By = C
