Answer:
x⁴ - 81 factors: x + 3, x - 3, x + 3i, x - 3i
x³ - 2x² + 9x - 18 factors: x - 3i, x + 3i, x - 2
x⁴ + 5x² - 36 factors: x - 2, x + 2, x + 3i, x - 3i
4(10n² - 2) - 5(8n² + 7) =
= 40n² - 8 - 40n² - 35 =
= 40n² - 40n² - 8 - 35 = -43 ← the end
This is a geometric sequence with a=2, r= -3/2.
Therefore,
a₁ = 2
a₂ = 2*(-3/2) = -3
a₃ = 2*(-3/2)² = 9/2 = 4.5
a₄ = 2(-3/2)³ = -27/4 = -6.75
a₅ = 2(-3/2)⁴ = 81/8 = 10.125
Answer:
In fractions, the first five terms are
2, -3, 9/2, -27/4, 81/8
In decimals, the first five terms are
2.000, -3.000, 4.500, -6.750, 10.125
Answer:
x = 6.6
Step-by-step explanation:
Data obtained from the question include the following:
Angle X = 15°
Angle Y° = 23°
Side y = 10
Side x =..?
The value of side x can be obtained by using the sine rule as shown below:
x/Sine X = y/Sine Y
x/Sine 15 = 10/Sine 23
Cross multiply
x × Sine 23 = 10 × Sine 15
Divide both side by Sine 23
x = (10 × Sine 15) / Sine 23
x = 6.6
Therefore, the value of x is 6.6.
