Answer:
2
Step-by-step explanation:
The given equation of line is
We need to find the slope of a line which is perpendicular to the given line.
The given equation can be rewritten as
...(i)
If a line is defined as
, then the slope of the line is
In equation (i), a=3, b=6 and c=18. So, slope of the line is
Let
be the slope of perpendicular line.
We know that product of two perpendicular line is -1.
Multiply both sides by -2.
Therefore, the slope of perpendicular line is 2.
Answer:
-7/3
Step-by-step explanation:
<h2>
Hello!</h2>
The answer is:
The total area is:

<h2>
Why?</h2>
To find the cloasest value to the total surface area that will be painted, we need to calculate the area of a single sphere, and then, multiply it by 5.
We know that the diameter of each sphere is 7 centimeters, so, calculating we have:
Calculating the radius we have,

Then, calculating the area, we have:


Now that we have calculated the surface area of a single sphere, we need to calculate the area of the five spheres.
So, calculating we have:

Hence, the total area is:

Have a nice day!
(2x^2+13x+15)/2x+3=x+5
Use long or synthetic division to solve this problem.
<h3>
Answer: 3x^3 + 11x^2 - 5x - 25</h3>
Work Shown:
yz = y(x^2+2x-5)
yz = y(x^2) + y(2x) + y(-5)
yz = x^2( y ) + 2x( y ) - 5( y )
yz = x^2( 3x+5 ) + 2x( 3x+5 ) - 5( 3x+5 )
yz = x^2*3x + x^2*5 + 2x*3x + 2x*5 - 5*3x - 5*5
yz = 3x^3 + 5x^2 + 6x^2 + 10x - 15x - 25
yz = 3x^3 + 11x^2 - 5x - 25