Answer:
g(f): x -> 2(x-7)=2x-14 , g(f)(-1)=2*(-1)-14=-16
Step-by-step explanation:
Answer:
Slope=-1/2
Step-by-step explanation:
Slope =(y2-y1) /(x2-x1)
A(-7,-4).... x1 =-7,y1 =-4
B(-11,-2)... x2=-11,y1=-2
Slope=(-2-(-4))/(-11-(-7))
Slope=(-2+4)/(-11+7)
Slope=2/(-4)
Slope=-1/2
For this case we have the following expression:
Using the associative property we can rewrite the expression in the following way:
Finally, simplifying we have:
Answer:
Rewriting the expression we have that the result is:
d. -7
Answer: 4,111.7 mm³
Step-by-step explanation:
You need to use this formula to calculate the volume of the square pyramid:

Where "s" is the lenght of any side of the square base and "h" is the height of the pyramid.
Find the height with the Pythagorean Theorem:

Where "a" is the hypotenuse and "b" and "c" are the legs of the right triangle. Let be "c" the height of the pyramid.
You can identify in the figure that:

Then, you can find the height:

Then, knowing that:

You can calculate the volume:
