Answer: c
Step-by-step explanation:
u want to separate it into the two triangles and a rectangle. so the first marked triangle is the first part of the problem then it adds on the rectangle 6(12) then theres that other unmarked triangle because u can see the bottom is 14 when the top is 12 so u take the formula and fill in 1/2(6)(2). i hope this makes sense im bad at explaining things.
Probability of giving birth to four consecutive boys ;
0.52 0.52 * 0.52 * 0.52
= 0.073 ( rounded off)
Thus, the probability to give birth to 4 consecutive boys is 0.073
Given:
The system of equation:
-------- (1)
--------- (2)
To find the values of x and y.
We will use substitution method.
From (1) we get,

We will put the value of y in (1) and we get,

or, 
Now we will apply middle term factor method.




so, x = 4 and 1
Now,
Substitute x = 4 in (1) we get,

And putting x = 1 in (1) we get,

Hence, the solution of the given system of equation is (4,-8) and (1,-5)
Thus, Option A is the correct answer.
The solution is n = 5 and r = 4
Step-by-step explanation:
Given,
nCr : (n+1)Cr : (n+2)Cr = 1:3:7
To find the value of n and r.
Formula
nCr =
[ n! means = n.(n-1).(n-2)....3.2.1]
Now,
nCr : (n+1)Cr = 1:3 and (n+1)Cr : (n+2)Cr = 3:7
or,
:
= 1:3 or,
:
=
or,
×
=
or,
×
=
or,
=
or,
=
or, 3(n+1-r) = n+1 or, 7(n+2-r) = 3(n+2)
or, 3n+3-3r = n+1 or, 7n+14-7r = 3n+6
or, 2n-3r = -2 or, 4n-7r = -8
Now, by solving
2n-3r = -2 -----(1)
4n-7r = -8 -----(2) we will get n and r
Multiplying (1) by and then subtract with (2) we get,
2(2n-3r) - (4n-7r) = -4-(-8)
or, 4n-6r-4n+7r = 4
or, r = 4
From (1) we get,
2n = -2+3(4)
or, 2n = 10
or, n = 5
Hence,
n = 5 and r = 4
Your answer is 6x^3.
First we need to find the greatest common factor of 12 and 18 by writing out the factors of each and finding the greatest. Once you have 6, you then need to see if there are any similarities between x^3y^2 and x^3, which is x^3. I hope this helps!