Answer:
Slope: 
Step-by-step explanation:
Step 1: Use slope formula to find the slope

Therefore the slope of a line that passes through (-2, 4) and (7, 1) is 
Answer:
C
Step-by-step explanation:
Answer:
Step-by-step explanation:
There is a 1/12 probability that volume 1 will be correctly put in position 1.
If we assume that volume 1 is right, then since there are then only 11 books left to choose from, there is then a 1/11 prob that volume 2 will be in position 2. And so on. By the same reasoning there is 1/10 prob that volume 3 is then right, 1/9 prob for volume 4, 1/8 prob for volume 5, and 1/7 prob for volume 6,
and 1/6 prob for volume 7,and 1/5 prob for volume 8,and 1/4 prob for volume 9,and 1/3 prob for volume 10,and 1/2 prob for volume 11,and 1/1 prob for volume 12.
So the probability is 1 /(12*11*10*9*8*7*6*5*4*3*2*1) = 1 / 479,001,600 ....
Answer:
Step-by-step explanation:
1. Given the integral function
, using trigonometric substitution, the substitution that will be most helpful in this case is substituting x as
i.e
.
All integrals in the form
are always evaluated using the substitute given where 'a' is any constant.
From the given integral,
where a = 7 in this case.
The substitute will therefore be 
2.) Given 

cross multiplying

3.) Rewriting the given integral using the substiution will result into;

