The parabola with vertex at (0,0) and directrix at x=-4, will open towards the right.
<h3>What is a directrix?</h3>
A parabola is a collection of points on a plane that are all at the same distance from a particular point and line. The point is called the focus of the parabola while the line is called the directrix. The directrix is perpendicular to a parabola's axis of symmetry and does not contact it.
As we know that the directrix is perpendicular to the axis of the parabola, now since the directrix is at x=-4, the parabola will be horizontal and will be opening either towards the left or the right.
As it is given that the vertex of the parabola is at (0,0) and we know that the parabola can not touch the directrix, therefore, the parabola's vertex will be at (0,0) and will open towards the right side. As shown below.
Hence, the parabola with vertex at (0,0) and directrix at x=-4, will open towards the right.
Learn more about Directrix:
brainly.com/question/2629634
Answer: 24 tests
Step-by-step explanation:
Ms. Carey graded 1/3 of the tests and still had 16 tests to go.
This means that the 16 tests represent the remaining proportion of the total number of tests:
= 1 - 1/3
= 2/3
2/3 of the total is equal to 16 tests. Assuming the total is x, the expression would be:
2/3x = 16
x = 16 ÷ 2/3
x = 16 * 3/2
x = 24 tests
<span>So we want to know the volume V of the volleyball if we know the diameter d=8.15 inches and we need to round it to the nearest hundreth. The volume of a volleyball is V=(4/3)r^3*pi, and since 2 radius are equal to the diameter we need to get the radius, so 2r=D and r=D/2 or r=4.075 inches. Now we get the volume after inputting the numbers: V=283.303032 inches^3. Rounded to the nearest hundreth: V=283.30</span>
Answer: P (girl) = 14 / 25
Concept:
Here, we need to know the idea of probability.
Probability is a measure of the likelihood of an event to occur.
If you are still confused, please refer to the attachment below for a graphical explanation.
Solve:
Number of boys = 11
Number of girls = 14
Total number of people = 11 + 14 = 25
P (girl) = Favorable / Total (refer to the attachment)
P (girl) = 14 / 25
Hope this helps!! :)
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