Answer:
x=−y26+y3−136
Explanation:
Given -
Vertex (−2,1)
Directrix x=1
The vertex is in the 2nd quadrant. The directrix is parallel to the y-axis. So, the parabola opens to the left. The vertex of the parabola is not the origin. Then its general form is -
(y−k)2=−4.a.(x−h)
Where -
h and k are the coordinates of the vertex.
h=−2)
k=1
a=1.5 half the distance between Directrix and vertex [= distance between focus and vertex]
Substitute these values in the equation
(y−1)2=−4.1.5.(x+2)
y2−2y+1=−6x−12
−6x−12=y2−2y+1
−6x=y2−2y+1+12
x=y2−6−2y−6+13−6
x=−y26+y3−136
Given:
Total students in a class = 25
Students who like volleyball = 17
Students who like basketball = 15
Students who like both = 10
To find:
The students who don't like any of the games.
Solution:
We have,
Total students in a class = 25
Students who like volleyball = 17
Students who like basketball = 15
Students who like both = 10
Now,
Students who like only volleyball = 17-10
= 7
Students who like only basketball = 15-10
= 5
Students who don't like any of the games is the difference of total number of students and number of students who like at least one game.
Students who don't like any of the games = 25 - (7+5+10)
= 25 - 22
= 3
Therefore, 3 students don't like any of the games.
Answer:
-12.8
Hope this helps! :)
Answer:
The most likely solution sought is 13:
Beginning with 3: subtract 9, add 18, subtract 8, add 16, subtract 7, add 14, etc. Each time, reduce the number subtracted by one, and double that number to add.
So, beginning with 3: 3-9 = -6, -6+2(9) = 12, 12-8 = 4, 4+2(8) = 20, 20-7 = 13, etc.
*****
Step-by-step explanation:
Answer:
4.5
Step-by-step explanation:
To find the hypotenuse of a right triangle, we use Pythagorean's Theorem which states that 
. Plugging in the values of the two legs given, we get 
. We can take the square root of each side and get that 
.
