Formula.Binomial theorem:
(x + y)^ n = C(n,0) x^ny^0 + C(n,1)x^(n-1) y + C(n,2)x^(n-2) y^2 + ...+ C(n,n+1)xy^(n-1) + C(n,n)x^0y^n
So, for n = 5:
(x + 2)^5 = C(5,0)x^5 + C(5,1)x^4 . 2 + C(5,2) x^3 . 2^2 + C(5,3)x^2 . 2^3 + C(5,4)x . 2^4 + C(5,5) . 2^5
So, the third term is C(5,2)x^3. 2^2
Answer:
X=
Step-by-step explanation:
Answer:
The equation has no solution (C)
Step-by-step explanation:
You just solve the problem, and at the end it says 0=32 which is false, therefore it has no solution. So, the person probably added another x to the equation, or instead of saying that it didn't equal anything they thought it meant it equalled 32.
Hello,
The greatest common factor of 21 and 56 is 7.
Bye :)
Answer: m∠ABF = 120°
Concept:
Here, we need to know the idea of the <u>corresponding angle theorem </u>and <u>linear pair postulate</u>.
The corresponding angle theorem states that if a transversal cuts two parallel lines, their corresponding angles are congruent.
The linear pair postulate states that two angles that form a linear pair are supplementary.
Solve:
<u>Given information</u>
m∠ABF = m∠ABF = 2x + 3x
- According to the corresponding angle theorem, ∠ABF is congruent to ∠BCI which is 2x + 4x.
m∠BCH = 3x
Total angle = 180°
- ∠ABF and ∠BCH are linear pairs which means they form a supplementary angle.
<u>Given equation</u>
m∠ABF + m∠BCH = Total Angle
<u>Substitute values into the equation</u>
2x + 4x + 3x = 180
<u />
<u>Combine like terms</u>
9x = 180
<u>Divide 9 on both sides</u>
9x / 9 = 180 / 9
x = 20
m∠ABF = 2x + 4x = 2 (20) + 4 (20) = 40 + 80 = <u>120°</u>
Hope this helps!! :)
Please let me know if you have any questions