Answer:
36 and -1/8
Step-by-step explanation:
x^2 = 3^2 = 9 * 4 = 36
y^-3 = (-2)^-3 = -1/8
Answer:
option c will make ur answer correct just see 3(-6) + 2(2) = -14
Answer:
angle c = 107°
angle b = 107°
angle a = 73°
Step-by-step explanation:
Given:
Two line XY and WZ intersect each other and make four angle [a, b, c, d]
Given that Angle d = 73°
Find:
angle a
angle b
angle c
Computation:
We know that angle c and angle d situated on same line XY
So,
angle c + angle d = 180°
angle c + 73° = 180°
angle c = 107°
We know that angle b and angle d situated on same line WZ
So,
angle b + angle d = 180°
angle b + 73° = 180°
angle b = 107°
angle a and angle d are vertical opposite angle
So,
angle a = angle d
angle a = 73°
Answer:
S_k = k(3k - 1)/2
S_(k + 1) = [(k +1) (3k +2)]/2
Step-by-step explanation:
Sₙ = 1 + 4 + 7 + … + (3n - 2) = n(3n - 1)/2
To find Sk, replace all occurrences of n in Sₙ with k.
S_k = 1 + 4 + 7 + … + (3k - 2) = k(3k - 1)/2
To find S_(k+1), replace all occurrences of n in Sₙ with (k +1)
S_(k + 1) = 1 + 4 + 7 + … + [3(k + 1) -2] = (k +1) [3(k + 1) - 1]/2
After distributing the 3s and simplifying, we get
S_k = 1 + 4 + 7 + … + (3k + 1) = (k + 1) (3k + 2)/2