The general form of a parabola when using the focus and directrix is:
(x - h)² = 4p(y - k) where (h, k) is the vertex of the parabola and 'p' is distance between vertex and the focus. We use this form due to the fact we can see the parabola will open up based on the directrix being below the focus. Remember that the parabola will hug the focus and run away from the directrix. The formula would be slightly different if the parabola was opening either left or right.
Given a focus of (-2,4) and a directrix of y = 0, we can assume the vertex of the parabola is exactly half way in between the focus and the directrix. The focus and vertex with be stacked one above the other, therefore the vertex will be (-2, 2) and the value of 'p' will be 2. We can now write the equation of the parabola:
(x + 2)² = 4(2)(y - 2)
(x + 2)² = 8(y - 2) Now you can solve this equation for y if you prefer solving for 'y' in terms of 'x'
Answer: 8 out of 52
Step-by-step explanation: there are 52 cards and you are trying to figure out out 52 which one out the 52 would be 8 or a spade there are 4 8 cards and 4 spade cards the answer would be 8 out of 52 Hope this Helps You!
Answer:
The answer is B
Step-by-step explanation:
To find the area of a parallelogram you need to multiply base by height
In this problem the base is 67 square ft and the height is 52 square feet 67 times 52 = 3484
Answer: 12.6 m
Step-by-step explanation:
Use the pythagorean theorem, we get that the height, or x, is
sqrt(22x22-18x18) = sqrt(484-324) = sqrt(160) = 4sqrt(10) = 12.6 m
The probability that a randomly selected employee has received the 5-year gift is 39.29%
<h3>What is the probability?</h3>
Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The probability that a randomly selected employee has received the 5-year gift = number of employees who have received the gift / total number of employees
11/28 x 100 = 39.29%
To learn more about probability, please check: brainly.com/question/13234031
