Answer:
a.2010 rad/min
b.2412 feet/min
Step-by-step explanation:
We are given that
Diameter of wheel,d=2.4 feet
Radius,r=
a.Rate=320 rev/minute
1 rev= radian
320 rev/minute=
Where
Angular speed=
b.Speed,v=
3)
4) by the SAS similarity theorem
Answer:
A(...; 7)
x =-1/5
B(8; ...)
y = 48
The slope is 5
Step-by-step explanation:
y−5x=8
A(...; 7)
We know that y=7, we need to find x
7 - 5x = 8
Subtract 7 from each side
7-7 -5x = 8-7
-5x =1
Divide by -5
-5x/-5 = 1/-5
x =-1/5
B(8; ...)
We know x = 8 we need to find y
y−5x=8
y - 5(8) = 8
y - 40 =8
Add 40 to each side
y-40+40 = 8+40
y = 48
Now we need to find the slope
y - 5x =8
Add 5x to each side
y -5x+5x = 5x+8
y = 5x+8
This is in the form y = mx+b where m is the slope
The slope is 5
Answer:
D
g(x) = 2 x²
Step-by-step explanation:
You are given a co-ordinate on g(x): (2,1). Plug this into the equaitons to see which one holds true.
A
g(x)=(0.5x)²?
2=(0.5(1))²?
2=0.25? NO
B
g(x)=(0.25x)²?
2=(0.25(1))²?
2=0.0625? NO
C
g(x)=0.5x²?
2=0.5(1²)?
2=0.5? NO
D
g(x)=2x²?
2=2(1²)?
2=2? YES
This could also be solved intuitively, since from the graph, you can see that the x values for g(x) are twice the x values for f(x), but the mathematical method above works too, and is useful if you find reading and assuming things from graphs difficult.