Divide 455 by 65 and get 7 multiply it by 4 and get 28. 28 dvds will be given away.
Answer:
(5−6)2+(−15+12)2=(5−2)2+(−15+14)2
Step-by-step explanation:
Circle equation is : (x -h)^2 + (y - k)^2 = r^2
center (h, k) = (5, -15)
r = Distance from (5, -15) to point A (2, -14)
r = root ( (5 - 2)^2 + (-15 - (-14))^2 )
r = root ( 3^2 + 1^2)
r = root(10)
Equation is (x - 5)^2 + (y + 15)^2 = 10
Check point P(6, -12)
(6 - 5)^2 + ( (-12) + 15 )^2 check if this equals 10
1^2 + 3^2 = 1 + 9 = 10, 10 = 10 good
It is the same as using the equation:
(5−6)2+(−15+12)2=(5−2)2+(−15+14)2
Question 4. Just replace x with 2a.
So f(2a) = 5(2a)^2 + 4(2a)
= 5*4a^2 + 8a
= 20a^2 + 8a
Question 5. Since x = 3, which is more than 1, use the second equation.
f(3) = 3^2 + 1
= 9 + 1
= 10
The coordinates of point A will be (0, 0) and the coordinates of B will be (3, 2).
To find these coordinates you have to graph the points and line segments. You will see that the 2 line segments start at points C and D and move down to the right. The endpoints of these segments will form your parallelogram.
<span>You have the following inequality given in the problem shown above:
(x^2-1)/(x^2+5x+4)</span>≤<span>0
1. To solve it, you must factor it and then you must make the study of the signs.
2. Once you do the proccedure mentioned above, you obtain the following solutions:
-4<x<-1 -1<x</span>
≤<span>
1
3. You can graph the inaquality given in the problem, as you can see in the figure attached.</span>