Answer:
The diameter is twice that, or approx. 7.90 units.
Step-by-step explanation:
the equation for the volume of a cylinder of radius r and height h is
V = πr²h. Here we need to calculate the diameter after having found the radius. Solving V = πr²h for r², we get:
V
r² = -----------
πh
Substituting the given values, we obtain for r² the following:
145 units³
r² = ------------------------ = 15.6 units²
3.14159(5 units)
Taking the square root of both sides, we get:
r = √15.60, or approx. 3.95 units.
The diameter is twice that, or approx. 7.90 units.
and 
use the second expression to calculate the left-hand side of the first equation:
Add 10 to both sides if this equation to get
and divide both sides by 2
this proves that x = 17, give the two initial equations
Answer:
y = 6x + 4
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 )
Here m = 6 and given point (0, 4 ) ⇒ c = 4
y = 6x + 4 ← equation of line
-8,-4
7,0
-11/2,9/4
-5,2
-4,0
Answer:
(0,50)
Step-by-step explanation:
Given the total cost of a dancers lesson modeled by the equation y = 25x + 50, the y intercept occurs at the point where x = 0.
Substitute x = 0 into the expression
y = 25x + 50
y = 25(0) + 50
y = 0+50
y = 50
Hence the y intercept is (0, 50). This shows that the total cost of the dancers lesson registration fee is 50
