Inequalities are just like regular equations with only one exception. Which is when yo multiply or divide by a negative number to both sides of the inequality sign you must flip it. But, for this inequality that rule will no apply. So, what I do to make it easier because I know we all see a different sign in an equation and we start to freak out. So, change the inequality sign to an equals sign to get a hang of working with them.
Example of changing an inequality sign to an equals sign:
Addition property of equality
or
Example of keeping the inequality sign
Addition property of equality
Answer:
5.000 ft
Step-by-step explanation:
The formula for the volume of a cylinder is
V = πr²h
Data:
V = 785.4 ft³
h = 2r
Calculations:
V = πr²h = πr²(2r) = 2πr³
Divide each side by 2π
Take the cube root of each side
![r = \sqrt[3]{\frac{V }{2\pi}}](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%5B3%5D%7B%5Cfrac%7BV%20%7D%7B2%5Cpi%7D%7D)
![= \sqrt[3]{\frac{785.4 }{2\pi }}](https://tex.z-dn.net/?f=%3D%20%5Csqrt%5B3%5D%7B%5Cfrac%7B785.4%20%7D%7B2%5Cpi%20%7D%7D)
![= \sqrt[3]{125.00}](https://tex.z-dn.net/?f=%3D%20%5Csqrt%5B3%5D%7B125.00%7D)
= 5.000 ft
The radius of the cylinder is 5.000 ft.
B, it should add up to 180 degrees
Answer:
y = - 
x + 9
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 2x - 3 ← is in slope- intercept form
with slope m = 2
Given a line with slope m then the slope of a line perpendicular to it is
= - 
= - , thus
y = - x + c ← is the partial equation
To find c substitute (8, 5) into the partial equation
5 = - 4 + c ⇒ c = 5 + 4 = 9
y = - x + 9 ← equation of line
