Answer:
≈ 18.8 cm
Step-by-step explanation:
The arc length is calculated as
arc = circumference of circle × fraction of circle
The central angle is equal to the arc subtending it, that is 60°
arc = 2πr × 
= 2π × 18 × 
= 36π × 
= 6π ≈ 18.8 cm ( to 1 dec. place )
Answer:
The point-slope form would be y - 4 = x - 2
Step-by-step explanation:
In order to find the equation of the line, we first need to find the slope. For that, we use the slope formula.
m (slope) = (y1 - y2)/(x1 - x2)
Now we plug the numbers into the equation.
m (slope) = (y1 - y2)/(x1 - x2)
m (slope) = (4 - -1)/(2 - -3)
m (slope) = 5/5
m (slope) = 1
Now we can use point-slope form along with the slope and either point to write the equation.
y - y1 = m(x - x1)
y - 4 = (x - 2)
Answer:
y= -11
Step-by-step explanation:
f(0) = 2(3)(0) = 0 ⇒ (0, 0)
f(1) = 2(3)(1) = 6 ⇒ (1, 6)
<u>rate of change from x = 0 to x = 1</u>
=
=
= 6
******************************************
f(2) = 2(3)(2) = 12 ⇒ (2, 12)
f(3) = 2(3)(3) = 18 ⇒ (3, 18)
<u>rate of change from x = 2 to x = 3</u>
=
=
= 6
*****************************************
Since it is the same line, they will have the same slope (aka rate of change).