Step-by-step explanation:
180 - (value of x) = answer
m° equal to c°
Your answer is 4. Explain in pic
Part A. (x + 10) is equal to (4x - 35) because they are vertical angles, so x + 10 = 4x - 35, 45 = 3x, x = 15.
Part B. Because the other two angles are also vertical, options A and B are incorrect. Because we figured out that x = 15, plugging that into both equations gets you 25 on both equations (they are equal because they are vertical angles). 2 × 25 equals 50, and because the angles of a circle add up to 360, 360 - 50 = 310. 310 ÷ 2 = 155, so the correct answer is C.
Line A: 2x+2y=8 ⇒2y=-2x+8 ⇒ y=-x+4
Line B: x+y=3 ⇒y=-x+3
Therefore: y=y then:
-x+4=-x+3
-x+x=3-4
0≠-1 ⇒There is no solution because the lines are parallels
Answer: There is no solution
Answer:
The fourth term of the expansion is -220 * x^9 * y^3
Step-by-step explanation:
Question:
Find the fourth term in (x-y)^12
Solution:
Notation: "n choose k", or combination of k objects from n objects,
C(n,k) = n! / ( k! (n-k)! )
For example, C(12,4) = 12! / (4! 8!) = 495
Using the binomial expansion formula
(a+b)^n
= C(n,0)a^n + C(n,1)a^(n-1)b + C(n,2)a^(n-2)b^2 + C(n,3)a^(n-3)b^3 + C(n,4)a^(n-4)b^4 +....+C(n,n)b^n
For (x-y)^12, n=12, k=3, a=x, b=-y, and the fourth term is
C(n,3)a^(n-3)b^3
=C(12,3) * x^(12-3) * (-y)^(3)
= 220*x^9*(-y)^3
= -220 * x^9 * y^3