Answer:
The possible values of x are ±8 sqrt(2)
Step-by-step explanation:
To find the value of x, we find the geometric mean
sqrt(32*4 )= sqrt(128) = ±8 sqrt(2)
The possible values of x are ±8 sqrt(2)
8. The y-intercept is -10. You can find this by just seeing where the line would hit the y-axis. This is basically the starting point so the Scuba Diver's decent started at -10m.
9. You have the y-intercept so put that in slope-intercept form. y=mx+b
y=mx - 10
Now find the slope by picking two points and using the slope formula. I'll use
(30,-6) and (50,-4), and then plug in the values. 30 = x1, -6 = x2, 50 = x2, -4 = -4. Simplify.
m= y2-y1 -4 - (-6) 2 1
-------- = ----------- = --- / 2 = ---
x2-x1 50 - 30 20 10
Answer:
4ab
Step-by-step explanation:
(a+b)^2-(a-b)^2
=a^2 + 2ab + b^2 -(a^2 - 2ab +b^2)
=a^2 + 2ab + b^2 - a^2 + 2ab - b^2
=2ab + 2ab
=4ab
Answer:
5127079.21 cubic feet
Step-by-step explanation:
The silo is in the shape of a cylinder and a cone.
The volume of the silo will be the sum of the volumes of the cylinder and the cone.
Therefore, its volume is:

where r = radius of cylinder and cone
h = height of cylinder
H = height of cone
The radius of the base is 120 feet, the height of the roof (cone) is 25 feet. The height of the entire silo is 130 feet. This means that the height of the cylinder is:
130 - 25 = 105 feet
Therefore, the volume of the silo is:

The volume of the silo is 5127079.21 cubic feet.