Answer:
6 kg/m
Step-by-step explanation:
mass m = 3x^2.
rho ρ= dm/dx =6x
ρ(1) =6 Kg/m
linear density is the derivative of mass (m) with respect to position(x)
that is how fast is the mass changing at that position.
Given :
A line 2x + 1 =0 .
To Find :
The slope of the given line .
Solution :
We know , slope of line is given by the tangent of the angle between the x-axis and the line .
Now, for line 2x + 1 =0 i.e 
.
The line is perpendicular to x-axis and cuts the x-axis at 
.
Therefore , the angle between the line and x-axis is 
.
So , slope 
i.e undefined .
Therefore , the slope of given line is not defined .
Hence , this is the required solution .
First calculate the slope by change in y over change in x
it’s -0.334
then find y intercept
-6
so all together
-0.334x-6
Answer:
(1,2)
Step-by-step explanation:
y = 2x. y = -x+3
Set the two equations equal
2x = -x+3
Add x to each side
2x+x = -x+x+3
3x = 3
Divide by 3
3x/3 = 3/3
x = 1
Now find y
y =2x = 2(1) = 2
(1,2)
The x-value of the intersection point of the lines is ( d - b)/(a-c)
<h3>Intersection of lines</h3>
Given the equation of a line expressed as;
y = ax +b and;
y = cx + d.
Equating both lines, we will have:
Make x the subject of the formula:
ax - cx = d = b
x (a-c) = d - b
x = ( d - b)/(a-c)
Hence the x-value of the intersection point of the lines is ( d - b)/(a-c)
Learn more on intersecting lines here: brainly.com/question/2065148
