Answer:
3x^3 -8y^2
Step-by-step explanation:
Thanks for letting me Answer your question! If you have any more question you would like to know about you can ask me anytime and i will try my best to answer your question! If you don't have a question the don't forget to have a wonderful day and please consider making me Brainliest!
Let the three gp be a, ar and ar^2
a + ar + ar^2 = 21 => a(1 + r + r^2) = 21 . . . (1)
a^2 + a^2r^2 + a^2r^4 = 189 => a^2(1 + r^2 + r^4) = 189 . . . (2)
squaring (1) gives
a^2(1 + r + r^2)^2 = 441 . . . (3)
(3) ÷ (2) => (1 + r + r^2)^2 / (1 + r^2 + r^4) = 441/189 = 7/3
3(1 + r + r^2)^2 = 7(1 + r^2 + r^4)
3(r^4 + 2r^3 + 3r^2 + 2r + 1) = 7(1 + r^2 + r^4)
3r^4 + 6r^3 + 9r^2 + 6r + 3 = 7 + 7r^2 + 7r^4
4r^4 - 6r^3 - 2r^2 - 6r + 4 = 0
r = 1/2 or r = 2
From (1), a = 21/(1 + r + r^2)
When r = 2:
a = 21/(1 + 2 + 4) = 21/7 = 3
Therefore, the numbers are 3, 6 and 12.
Answer:
-1/2
Step-by-step explanation:
y = -1/2x + 1/4 is in slope y-intercept form : y = mx + b
m is slope
Slope = -1/2
Answer:
<u>a₂₀ = 60</u>
Step-by-step explanation:
<u>Given :-</u>
a₃ = 9
a₈ = 24
<u>To find :-</u>
a₂₀
<u>Solving :-</u>
Expand the given values.
a + 2d = 9 -(1)
a + 7d = 24 -(2)
Now subtract (1) from (2).
=> 5d = 15
=> d = 3
a = 9 - 2d
a = 9 - 6
a = 3
<u>Final answer :-</u>
a₂₀
= a + 19d
= 3 + 19(3)
= 3+ 57
= 60
<u>a₂₀ = 60</u>