Answer:
see image...
start with Graphing Form: y = a(x-h)²+ k
knowing that h is the x value (negative of it) of the vertex , and k is the y value of the vertex
Graphing Form Equation: y = a(x+3)²+32
you are also given that when the x value is 5 the y value has to be 0
0 = a(4)^2 + 32
a has to be - 1/2
Step-by-step explanation:
Answer:
The angular velocity is 6.72 π radians per second
Step-by-step explanation:
The formula of the angular velocity is ω = , where v is the linear velocity and r is the radius of the circle
The unit of the angular velocity is radians per second
∵ The diameter of the tire is 25 inches
∵ The linear velocity is 15 miles per hour
- We must change the mile to inch and the hour to seconds
∵ 1 mile = 63360 inches
∵ 1 hour = 3600 second
∴ 15 miles/hour = 15 ×
∴ 15 miles/hour = 264 inches per second
Now let us find the angular velocity
∵ ω =
∵ v = 264 in./sec.
∵ d = 25 in.
- The radius is one-half the diameter
∴ r = × 25 = 12.5 in.
- Substitute the values of v and r in the formula above to find ω
∴ ω =
∴ ω = 21.12 rad./sec.
- Divide it by π to give the answer in terms of π
∴ ω = 6.72 π radians per second
The angular velocity is 6.72 π radians per second
Answer: x-intercepts are ( 2.775,0) and (5.225,0)
And y-intercept is (0,-29)
Step-by-step explanation:
Here the given equation is,
For x-intercept, y = 0,
Put y = 0 in the above equation of parabola,
We get,
By solving this equation,
We get, x = 2.775 or x = 5.225
Therefore, x-intercept of the given parabola are (2.775, 0) and (5.225,0)
Now, for y-intercept, x = 0
By putting x = 0 in the given equation of parabola,
We get, y = -29
Thus, y-intercept of the given parabola = (0,-29)
