Answer:
A' (4, -3)
Step-by-step explanation:
Since it's a reflection over the x-axis, the point would undergo the following rigid transformation:
(x, y) --> (x, -y)
so,
(4, 3) --> (4, -3)
Answer:
1.637 x 10¹⁴ different playlists
Step-by-step explanation:
Since DJ Ali needs to choose 9 songs and wishes that the number of blues, country and jazz songs are the same, she needs to pick 3 songs of each type. The total number of ways she can choose the songs, without considering their order is:
![N_{songs} =C(16,3)*C(23,3)*C(15,3)\\N_{songs} =\frac{16!}{(16-3)!3!}*\frac{23!}{(23-3)!3!}*\frac{15!}{(15-3)!3!}\\N_{songs} = 451,250,800](https://tex.z-dn.net/?f=N_%7Bsongs%7D%20%3DC%2816%2C3%29%2AC%2823%2C3%29%2AC%2815%2C3%29%5C%5CN_%7Bsongs%7D%20%3D%5Cfrac%7B16%21%7D%7B%2816-3%29%213%21%7D%2A%5Cfrac%7B23%21%7D%7B%2823-3%29%213%21%7D%2A%5Cfrac%7B15%21%7D%7B%2815-3%29%213%21%7D%5C%5CN_%7Bsongs%7D%20%3D%20451%2C250%2C800)
The number of possible ways of ordering those nine song is:
![N_{ways} = 451,250,800*P(9,9)\\N_{ways} = 451,250,800*\frac{9!}{(9-9)!}\\N_{ways} =1.637*10^{14}](https://tex.z-dn.net/?f=N_%7Bways%7D%20%3D%20451%2C250%2C800%2AP%289%2C9%29%5C%5CN_%7Bways%7D%20%3D%20451%2C250%2C800%2A%5Cfrac%7B9%21%7D%7B%289-9%29%21%7D%5C%5CN_%7Bways%7D%20%3D1.637%2A10%5E%7B14%7D)
There are 1.637 x 10¹⁴ different possible playlist.
Answer:
B 228<em>h</em> = 912
Step-by-step explanation:
When trying to find the missing height for volume you multiply length times width.
19x12=228
228 times the height (h) would give you 912.
Put it in an equation and you would get 228<em>h</em> =912
Extra: To find for <em>h</em> you would divide 912/228 and the answer would be 4
The height equals 4
Hope this helps.
Area = πr^2
= 3.14(11^2)
= 3.14(121)
= 379.99 square inches
The formula is a+b divided by 2 times by height.
a and b are the two parallel sides of the trapezium.
The height is the perpendicular height of the trapezium.