Answer:
Step-by-step explanation:
2(9a - 6) = 2*9a - 2*6 = 18a - 12
Yes, it is equivalent.
6*(3a-2) = 6*3a - 6*2 = 18a - 12
Yes, it is equivalent.
-3(6a+4)= -3*6a + 4*(-3) = -18a - 12
No, not equivalent
3(6a+4) = 3*6a + 3*4 = 18a + 12
No, not equivalent
-3(4-6a) = -3*4 - 6a*(-3 ) = -12 + 18a = 18a - 12
Yes, it is equivalent.
Answer:
Step-by-step explanation:
r is the common ratio.
Third term minus first term is 48.
a₃ - a₁ = 48
a₃ = a₁r²
a₁r² - a₁ = 48
a₁(r²-1) = 48
r²-1 = 48/a₁
Fourth term minus second term is 144.
a₄ - a₂ = 144
a₂ = a₁r
a₄ = a₁r³
a₁r³ - a₁r = 144
a₁r(r²-1) = 144
r²-1 = 144/(a₁r)
48/a₁ = 144/(a₁r)
r = 3
:::::
r²-1 = 48/a₁
a₁ = 6
:::::
a₆ = a₁r⁵ = 1458
See https://web2.0calc.com/questions/help_13403.
Answer:
Step-by-step explanation:
January 15, 2012 4:31PM
I assume you want the area of the sector with angle 120o and radius 9 cm:
120o is 120/360 = 1/3 of a full circle.⇒ area of sector is 1/3 area of full circle
⇒ area_of_sector = 1/3 x π x radius2 = 1/3 x π x (9 cm)2
= 27π cm2
≈ 84.82 cm2
2x+7x= 180
9x=180
x=20
Plug the x value in to both expressions
2(20)=40
7(20)=140
Final answer: 40 degrees, 140 degrees