Answer: h=(D²-s)/3
Step-by-step explanation: D² =3h+s
Subtract a from both sides of the equation
D²-s =3h+s-s
Simplifying,
D²-s =3h
Divide both sides by 3( to isolate 'h')
(D²-s)/3 =3h/3
Simplifying,
(D²-s)/3 =h
Hence, h= (D²-s)/3
Hope it helps!
Geometric series are in the form of
Where a is the first term and r is the common ratio .
And it is given that
r=-3,2
So the first five terms are
= 2-6+18-54+162 or 2+4+8+16+32
= 122 or 62
Answer: A. Zero
Step-by-step explanation: If the quadratic equation is incomplete, b will always equal 0.
Answer:
Cubed root of 9
Step-by-step explanation:
3^(2/3)
=³√3²
= ³√9
A system is inconsistent when there are no solutions between the two equations. Graphically, the lines will be parallel (they never meet!) and the slopes will be the same. But the y-intercepts will be different.
Let's look at the four equations, with each solved as needed, into y = mx + b form.
A: 2x + y = 5
y = 5 - 2x
y = -2x + 5
Compared to y = 2x + 5, the slopes are different, so this system won't be inconsistent. Not a good choice.
B: y = 2x + 5
Compared to y = 2x + 5, the slopes are the same and the y intercepts are the same. This system has infinitely many solutions. Not a good choice.
C: 2x - 4y = 10
-4y = 10 - 2x
-4y = -2x + 10
y = 2/4x -10/4
Here the slopes are different, so, like A this is not a good choice.
D: 2y - 4x = -10
2y = =10 + 4x
2y = 4x - 10
y = 2x - 5
Compared to y = 2x + 5 we have the same slopes and different y intercepts. The lines will be parallel and the system is inconsistent.
Thus, D is the best choice.