Hello,
Let's r the ration
We suppose x ≠0
x=r*(x-2)==>r=x/(x-2)
x+3=r*x==> (x+3)/x=x/(x-2)==>(x+3)(x-2)=x²
==>x²+3x-2x-6=x² ==>x-6=0==>x=6
x-2=6-4=4
x=6
x+3=6+3=9
6=4*3/2
9=6*3/2
Ration 3/2
First term: 4
Answer:
Step-by-step explanation:
x=√3, y= 3
Answer:
Horizontal line: y=-5
Vertical line: x = 4
Step-by-step explanation:
As we have to determine the equations for the horizontal and vertical lines passing through the point (4, -5).
- To determine the equation for the horizontal line passing through the point (4, -5), we must observe that the horizontal line will always have the same y-value regardless of the x-value.
Therefore, the equation of the horizontal line passing through the point (4, -5) will be: y=-5
- To determine the equation for the vertical line passing through the point (4, -5), we must observe that the vertical line will always have the same x-value regardless of the y-value.
Therefore, the equation of the vertical line passing through the point (4, -5) will be: x=4
Hence:
Horizontal line: y=-5
Vertical line: x = 4
Answer:
Step-by-step explanation:
Given: 
.
we need to find the correct form for 
if the equation is solve using undetermined coefficients.
A first order differential equation 
is said to be homogeneous if 
for all t.
Consider homogeneous equation 
Let 
be the solution .
We get 
Since 
, 
.
So, we get solution as 
As constant term and 
are already in the R.H.S of equation
, we can take as
Answer:
the average rate of change is 4.
Step-by-step explanation:
Find the average rate of change of f(x)=x^2 on the interval [1,3].
The average rate of change of f(x) on the interval [a,b] is f(b)−f(a)/b−a.
We have that a=1, b=3, f(x)=x^2.
Thus, f(b)−f(a)/b−a=((3))^2−(((1))^2)/3−(1) = 4.
