Answer: the answer is 8
Step-by-step explanation:
-6 + 8 = 2 (y)
Answer:
525
Step-by-step explanation:
This is a question involving combinatorics
The number of ways of choosing a subset k from a set of n elements is given by
which evaluates to 
n! is the product n × (n-1) × (n-2) x....x 3 x 2 x 1
For example,
4! = 4 x 3 x 2 x 1 = 24
3! = 3 x 2 x 1 = 6
Since we have to choose 4 boys from a class of 6 boys, the total number of ways this can be done is

Note that 6! = 6 x 5 x 4 x 3 x 2 x 1 and 4 x 3 x 2 x 1 is nothing but 4!
So the numerator can be re-written as 6 x 5 x (4!)
We can rewrite the expression 
Cancelling 4! from both numerator and denominator gives us the result
as (6 × 5)/2! = 20/2 = 15 different ways of choosing 4 boys from a class of 6 boys
For the girls, the number of ways of choosing 3 girls from a class of 7 girls is given by

This works out to (7 x 6 x 5 )/(3 x 2 x 1) (using the same logic as for the boys computation)
= 210/6 = 35
So total number of committees of 4 boys and 3 girls that can be formed from a class of 6 boys and 7 girls = 15 x 35 = 525
Answer:
Step-by-step explanation:
The smaller rectangle has a perimeter of 200 meters. Let's say that the smaller rectangle has length 60 and width 40. This would give it a perimeter of 200, since 2*(60+40) = 200.
If these are the length and width of the smaller one, we can multiply each by 5/4 to get the length and width of the larger one.
length of larger rectangle = 60*5/4 = 75
width of larger rectangle = 40*5/4 = 50
These dimensions would give a perimeter of 250, since 2*(50 + 75) = 250.
It is worth noticing that 250 is equal to 200 * 5/4. In the future, you can simply multiply perimeter by the ratio instead of going through all these steps.
Table-1 shows constant increase of X and Y values
Step-by-step explanation:
We are given two tables with X and Y values.
To find which table represent the constant increase of X and Y:
If there is constant increase of X and Y then, X and Y avlues belongs to equation of line.
Also, if three points lies on line then, slope of line made by three points must be same or equal.
Slope of line is given as s=
For table 1:
The values of X and Y form points as A(3,4),B(5,6) and C(7.8)
For A(3,4) and B(5,6)
s=
s=
s=1
For C(7.8) and B(5,6)
s=
s=
s=1
Therefore, Table-1 shows constant increase of X and Y values
For table 2:
The values of X and Y form points as A(1,3),B(2,6) and C(3,10)
For A(1,3) and B(2,6)
s=
s=
s=3
ForC(3,10) and B(5,6)
s=
s=
s=2
Therefore, Table-1 does not shows constant increase of X and Y values
You must convert point slope form to standard form in this problem. point= (h,k)
POINT SLOPE:
y-(-1)=(3/4)(x-2)
y+1=(3/4)x-(3/2)
y= (3/4)x-(5/2)