Answer:
The equation of the parabola is (x-2)^2 = 48(y-5)
Step-by-step explanation:
Mathematically, we can obtain the equation of a parabola from its focal point and the directrix given.
Firstly, we need to find the distance between the director and the vertex
That would be ;
|-7-(5)| = 12
We should kindly note that the directrix is below the vertex and thus it is a right-side parabola with a positive value of p = 12
Thus, the equation needed would be;
(x-h)^2 = 4p(y-k)
From the question, h = 2
p = 12 ( calculated) and k = 5
So the equation would be;
(x-2)^2 = 4(12)(y-5)
= (x-2)^2 = 48(y-5)
Answer:
7.9 centimeters
Step-by-step explanation:
14.8 - 2.4 = 12.4 so you now know the new circumference
12.4/pi = 3.95 which is the new radius
3.95 x 2 = 7.9 which is the new diameter
Answer: The wheel make 315 complete revolutions in one minute
Step-by-step explanation: Given speed of convertible =45 miles/hr
To answer this question you will need to know how many inches the car travels Per minute.
1. To find this out you will first divide 45 miles by 60 to get the number of miles per minute.
The convertible travels 0.75 mi./min.
2. Next you will convert this number of miles to inches.
There are 63,360 inches per mile.
0.75 x 63360 = 47520 inches per minute.
3. You then need to find the distance the wheel travels in one rotation. You will need to find the circumference of the wheel.
C = pi x d
3.14 x 48
C = 150.72 inches
Each rotation is about 150.72 inches.
4. Finally, divide the total distance traveled in a minute by the circumference(distance of one rotation) to get the total number of rotations in a minute.
47520/150.72 is about 315.3 rotations per minute.
Answer:
r = 8
Step-by-step explanation:
59 = 7r + 3
Switch sides:
7r + 3 = 59
Subtract 3 from both sides:
7r = 56
Divide both sides by 7:
r = 8
Answer:
3,500,000,000
Step-by-step explanation:
the exponent symbolizes how many places the decimal moves. since its positive, it moves to the right. if it where a negative exponent then it would move to the left.
