Answer:
8190 ways
Step-by-step explanation:
Given


Selection


Required
Number of ways of selection
4 students can be selected from 15 students in:

Similarly.
5 teachers can be selected from 6 teachers in:

So, the required number of selection is:

Apply combination formula:







Answer: 6
Step-by-step explanation:
III + III = IIIIII (6)
Answer:
1. m=- -1 2. -1+1
Step-by-step explanation:
Ok for the first one you need to label 3 x1 0 y1 6 x2
and -3 y2
Next you need to do y2-y1 over x2-x1 so fill that in and your equasion is (-3-0)
------------ = -3
( 6-3) ----
3
That reduces to -1 because -3 divided by 3 is -1
As for number 2 we need to find b to do this pick any of the y's from before we can go with 0 so the 0 is y in the equasion and we already learned slope is -1 so your equasion should be 0=--1+b ok to solve this you need to add -1 to both sides since its a negitive so you add 1 to 0 which is 1 and when you add 1 to -1 it cancells it out so you have 1=b so b is 1 for the equsion you just fill it in so it is y=- -1+1
I hope I helped
Answer:
In the given equation -14(3a+6)=12(6-4a)+12 the value of a is 28
Step-by-step explanation:
Given equation is -14(3a+6)=12(6-4a)+12
To simplify the given equation:
-14(3a+6)=12(6-4a)+12
Taking all terms to one side
-14(3a+6)-12(6-4a)-12=0
-[14(3a+6)+12(6-4a)+12]=0
Now dividing by negative sign on the above equation we get
14(3a+6)+12(6-4a)+12=0 (using distributive property)
42a+84+72-48a+12=0 ( adding the like terms )
-6a+168=0
-6a=-168
6a=168

Therefore a=28
Therefore in the given equation -14(3a+6)=12(6-4a)+12 the value of a is 28