Answer:
Step-by-step explanation:
If it goes 220 meters and has made 100 revolutions that means that each revolution is 220 meters / 100 = 2.2 meters.
That's the same thing as saying that the wheel has a circumference of 2.2 meters.
Circumference = 2*pi * r = pi * d
2 = pi * d
2 = 3.14 * d
2/3.14 = d
d = 0.6369 meters
Y = 5x + 3.....the slope here is 5. A perpendicular line will have a negative reciprocal slope. To find the negative reciprocal, we flip the original slope and change the sign. So we have slope 5 or 5/1.....flip it and it becomes 1/5....change the sign and it becomes - 1/5. So our perpendicular line will have a slope of -1/5.
y = mx + b
slope(m) = -1/5
(2,2)....x = 2 and y = 2
now we sub into the formula and find b, the y int
2 = -1/5(2) + b
2 = -2/5 + b
2 + 2/5 = b
10/5 + 2/5 = b
12/5 = b
so ur perpendicular equation is : y = -1/5x + 12/5 <==
The values of x are 2 and -1.
Solving the equation created by substitution listed in the question:
-2x+14=x²-3x+12
Add 2x to both sides:
-2x+14+2x=x²-3x+12+2x
14=x²-1x+12
Subtract 14 from both sides:
14-14=x²-1x+12-14
0=x²-1x-2
Factoring this, we want factors of -2 that sum to -1; -2(1) = -2 and -2+1=-1:
0=(x-2)(x+1)
Using the zero product property, we know that either x-2=0 or x+1=0:
x-2=0
x-2+2=0+2
x=2
x+1=0
x+1-1=0-1
x=-1
Multiply 245 by .40 (which is 40%)
245 x (.40)= 98. When you get 98, you have to 245-98 and you get 147
Answer:
16
Step-by-step explanation:
To find the radius find the distance between (4,0) and (4,8). The radius is 8. Then multiply by 2 to find out the diameter.