Answer:
134
Step-by-step explanation:
This sequence is arithmetic because it's going up by sane number, 3. Hence, it also linear for the same reason. The equation is y=3x+(0th term). The 0th term is the one before the 1st term, 11, which would be 8.
So the equation to finc any xth term is y=3x+8.
Example, first term is 3(1)+8=11.
Example, second term is 3(2)+8=14.
Example, third term is 3(3)+8=17.
The 42nd term is 3(42)+8=126+8=134.
The radius would be about 161.92
Total area of five circles of radius r is 5pi r^2
Total area of three circles of radius s is 3pi s^2
If A = B, then 5pi r^2 = 3pi s^2
r^2 / s^2 = 3/5
Therefore r/s = sqrt(3) / sqrt(5)
Answer:
x₁ = (1 + √43)/6
x₂ = (1 - √43)/6
Step-by-step explanation:
6x² - 2x = 7
6x² - 2x - 7 = 0
Formula
ax² + bx + c = 0
a = 6 ; b = - 2 ; c = - 7
x₁/₂ = [-b ± √(b²- 4ac)]/2a
x₁/₂ = (2 ± √4 + 4×6×-7)/12
x₁/₂ = (2 ± √172)/12
x₁/₂ = (2 ± 2√43)/12
x₁/₂ = 2(1 ± √43)/12
x₁/₂ = (1 ± √43)/6
x₁ = (1 + √43)/6
x₂ = (1 - √43)/6
