What is the 30th term of the linear sequence below? −4, −1, 2, 5, 8
1 answer:
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Answer:
<u> </u><u>-1 </u>
Step-by-step explanation:
Given that:
r = sin 2θ , θ = ± π/4 , ± 3π/4
Recall that:
x = r cosθ
y = r sinθ
The differential of y with respect to x
at θ = π/4 , r = sin π/2
r = 1
where;
θ = π/4
slope of the curve (dy/dx) at theta(θ) = pi/4 is -1
ANSWER
EXPLANATION
Since the altitude, |GJ| bisects the base of the triangle, it follows that, the triangle is an isosceles triangle.
This implies that,.
In terms of x, we have the equation.
We now group like terms to obtain,
This implies that,
Let us divide through by 2 to get,
We can see from the diagram that,
We substitute x=5 to get,
This simplifies to,
EXPLANATION
Since the altitude, |GJ| bisects the base of the triangle, it follows that, the triangle is an isosceles triangle.
This implies that,.
In terms of x, we have the equation.
We now group like terms to obtain,
This implies that,
Let us divide through by 2 to get,
We can see from the diagram that,
We substitute x=5 to get,
This simplifies to,