Answer:
y = 3x + 2
Step-by-step explanation:
The equation for two points on a line is generated from the straight line equation y = mx + b ---------------- eqn (i)
where m, the slope = (y2 - y1) / (x2 - x1)
therefore for (0,2) and (1,5) m = (5 - 2)/(1 - 0) = 3
This implies that eqn (i) can be rewritten as:
y = 3x + b ------------------- eqn (ii)
pickintg the point (0,2) and substituting into eqn (ii)
2 = 3(0) + b
this implies that b = 2
for confirmation with (1,5)
5 = 3(1) + b
b = 5 - 3 = 2
hence m = 3, b = 2
the equation is y = 3x + 2
Answer:
2720 feet squared
Step-by-step explanation:
85 * 32 = 2720
The way to determine this is to know that 1 foot is 12 inches (so 2 is 24)
Now the ration that would determine the scale factor of the room is 1:24 (1 inch for every 24 inches)
So the scale factor is 1:24
Now to determine the area we multiply the numbers we have by 2 and change the inches to feet (I hope that makes sense to you, it does to me, I'll show you)
10.25 * 2 = 20.5 ft.
8 * 2 = 16 ft.
now we know the dimensions of the room so we need to find the area.
A=B*H
20.5 * 16 = 328
so the area of the room is 328 ft.²
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
Answer:
2<5*X
Step-by-step explanation:
Hope this helped, Have a Wonderful Day!!
