The first line is perpendicular, the second line is not perpendicular and not parallel , the third line is parallel to the above line and the forth line not parallel or perpendicular to the line.
<h3>How can the slope of the line be calculate?</h3>
The slope of the line is been given as −3x+5y=−15
Then
, hence the slope is 
- Slope of the first line 5x + 3y = 15 after calculation is
the slope is 
this means that the line is perpendicular to the given line
- Slope of the second line 3x + 5y = 15 after calculation is

This means that the line is not perpendicular and not parallel
- Slope of the Third line -3x + 5y = 15 can be calculated as

This means that the line is parallel to the above line.
- Slope of the first line 3x + 5y = 15 after calculation is

This means that the line is not parallel or perpendicular to the line
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Hi there!
f(x) = x^3 - 8x^2 + 16x
The multiplicity of a root is the number of times the root appears.
So the answers are
x = 0 and the multiplicity of 1
x = 4 and the multiplicity of 2
I hope this helps!
Good luck!
Answer:
149.28 sq. inches
137.5 cubic inches.
Step-by-step explanation:
The cylindrical container has length or height (h) 7 inches and has a diameter of 5 inches i.e. radius (r) 2.5 inches.
Now, total surface area of the container =
=
= 39.28 + 110
= 149.28 sq. inches (Answer)
Again the volume of the container will be
=
= 137.5 cubic inches. (Answer)
Answer:
Proven
Step-by-step explanation:
We prove the polynomial with factorization. We must first simplify the expression before we can factorize:



4 is the common number and we can take it out of the expression:

We can factorize further with the x term being zero. For this to be true we must have -2x and 2x to cancel out and therefore the expression is proven:
