Answer:
dy/dx = -5y - y/x
Step-by-step explanation:
In xy + 5x = 30
Differentiating xy implicitly
y + xdy/dx
Assuming u = xy
In xy = In u
Differentiating In u = 1/u = 1/xy
Differentiating 5x = 5 and differentiating a constant (30) = 0
1/xy(y + xdy/dx) + 5 = 0
(y + xdy/dx)/xy = -5
(y + xdy/dx) = -5xy
xdy/dx = -5xy - y
dy/dx = = (-5xy - y)/x
dy/dx = -5y - y/x
Answer:
--- Vertex
--- Axis of symmetry
Step-by-step explanation:
Given
Solving (a): The vertex
For an equation written in
The vertex is:
By comparison:
and
So, the vertex is:
Solving (b): The axis of symmetry
For an equation written in
The axis of symmetry is:
x = h
In (a):
So:
The answer is 492.307
The number after the thousandths is 9 - greater than 5 - so we round 6 up to 7.
Answer:
Step-by-step explanation:
1. Height of the equilateral triangle = a√3/2
8√3/2=4√3=6.9
2. 60 (equilateral triangle means all three sides and angles are equal)
Answer:
The single transformation that maps shape A into shape B is 4 steps right and 3 steps down.
