The slope of a line and the perpendiular line that intercept will always have a product of -1
If the slope k=-1/6, the perperndicular line can be found by finding the product of the slope and -1
-1= (slope)(perpendicular line slope)
perpendicular line slope= slope(-1)
= -1/6(-1)
= 6
Answer:
x=2
Step-by-step explanation:
i would set up a system of equation using the pythagorean theorem:
1^2+x^2=z^2
4^2+x^2=y^2
Add up these equations to get:
17+2x^2=y^2+z^2
But notice that
y^2+z^2=5^2
So you can substitute
17+2x^2=25
2x^2=8
x^2=4
x=2
:)
w is the width and it is the independent variable. You can pick any positive whole number you want (within reason of course; you can't go to infinity or go beyond some set boundary). Whatever you picked for w, the expression 2w-5 will be dependent on it. So the length is dependent on the width.
For instance, if the width is w = 10 feet, then 2w-5 = 2*10-5 = 20-5 = 15 feet is the length. The choice of 10 feet for the width directly affects the length being 15 feet.
Answer:
4
Step-by-step explanation:
the Fundamental Theorem of Algebra states that for any polynomial of degree n, there are n roots, some of which may be complex
The polynomial shown is of degree 4 ( highest exponent of x )
Hence the polynomial has 4 roots/ zeros
