It is eight if u read the last part by the way says so that makes it 8
I’m not sure but i think it’s 72 cm3 because you calculate the volume by multiplying the length (8) the width (3) and the height (6)for a rectangle and since this is half a rectangle you have to divide it by two : 3*6*8=144; 144:2=72
Answer:
BD = 28
AC = 24
Step-by-step explanation:
Diagonals of a parallelogram bisect each other.
4x − 2 = 3y − 1
3x = 3y − 3
Using elimination to solve the system of equations, subtract the second equation from the first.
(4x − 2) − 3x = (3y − 1) − (3y − 3)
4x − 2 − 3x = 3y − 1 − 3y + 3
x − 2 = 2
x = 4
Substitute into either equation to find y.
3(4) = 3y − 3
12 = 3y − 3
15 = 3y
y = 5
The length of BD is:
4(4) − 2 + 3(5) − 1 = 28
The length of AC is:
3(4) + 3(5) − 3 = 24
Step-by-step answer:
We are looking at the coefficient of the 22nd term of (x+y)^25.
Following the sequence, first term is x^0y^25, second term is x^1y^24, third term is x^2y^23...and so on, 22nd term is x^21y^4.
The twenty-second term of (x+y)^25 is given by the binomial theorem as
( 25!/(21!4!) ) x^21*y^4
=25*24*23*22/4! x^21y^4
= 12650 x^21 y^4
The coefficient required is therefore 12650, for a binomial with unit valued coefficients.
For other binomials, substitute the values for x and y and expand accordingly.
Question would have been more clearly stated if the actual binomial was given, as commented above.
Answer:
n=-25 and SU=100
Step-by-step explanation:
<u><em>Solve for n</em></u>
4n-18=32-6n
-2n=50
n=-25
<u><em>Solve for segment SU</em></u>
4(-25)-18+32-6(-25)=SU
-100-18+32+150=SU
-82+182=SU
100=SU