x²+y²-2x-6y-5=0
x²-2x+y²-6y=5
x²-2x+1+y²-6y+9=5+1+9
(x-1)²+(y-3)²=15
(x-1)²+(y-3)²=(V15)²
-> centre of the circle: C(-1,-3)
-> radius of the circle: V15
Answer:
48
Step-by-step explanation:
Answer:
a) 3 inch pulley: 11,309.7 radians/min
6) 6 inch pulley: 5654.7 radians/min
b) 900 RPM (revolutions per minute)
Step-by-step explanation:
Hi!
When a pulley wirh radius R rotantes an angle θ, the arc length travelled by a point on its rim is Rθ. Then the tangential speed V is related to angular speed ω as:

When you connect two pulleys with a belt, if the belt doesn't slip, each point of the belt has the same speed as each point in the rim of both pulleys: Then, both pulleys have the same tangential speed:


We need to convert RPM to radias per minute. One revolution is 2π radians, then:


The saw rotates with the same angular speed as the 6 inch pulley: 900RPM
9514 1404 393
Explanation:
Theorems about triangles identify relationships that can be used to formulate equations that can be used in the problem-solving process.
The idea with problem solving is to start with what you know, and make use of the relationships between that and what you don't know in order to find a solution.
Answer: Correct answer is C -I just took the test
we have the function f(x) = 4(1/2)x, and we want to reflex it over the x-axis.
you can see in the graph that the reflex over this axis changes the sign of f(x) in all the points (where f(0) = 4, g(0) = -4, f(1) = 2, g(1) = -2, and so on), then the reflex, g(x) is equal to -f(x)
now we have:
g(x) = -f(x) = - 4(1/2)x
then the right answer is the third option:
g(x) = -4(1/2)x
Step-by-step explanation: