Step-by-step explanation:
the slope of a line is the ratio y/x.
that means, when going from one point to the other, how many units y changes, when x changes a certain number of units.
the sign indicates the direction of the change (+ for larger and - for smaller).
so, here x changes by 6 units (from -3 to 3), and y changes by -2 units (from 4 to 2).
therefore, the slope is
-2/6 = -1/3
The equation for KG would be y-14=-1(x-2) and the equation for HG would be y-4=1(x-12).
We first find the slope of KG. The formula for slope is
m=(y₂-y₁)/(x₂-x₁)
Using the points we have for KG, we have
m=(4-14)/(12-2) = -10/10 = -1
The equation for point-slope form is
y-y₁=m(x-x₁)
Using the slope of KG and the first point listed for that line, we have
y-14=-1(x-2)
Now we find the slope of HG:
m=(10-4)/(18-12) = 6/6 = 1
Using the point of intersection for KG and HG, we have
y-4=1(x-12)
Answer:
Step-by-step explanation:
<span>Ans : Note that:
sin(x) = sum(n=0 to infinity) [(-1)^n * x^(2n + 1)]/(2n + 1)!.
Then, since the series is alternating, the error in the approximation found by taking the first n terms of the series is no bigger than the n+1'th term. In other words:
E ≤ a_n+1 = x^(2n + 3)/(2n + 3)!.
(Note that a_n does not include (-1)^n, the alternating part)
We need that 1/6 ≤ x^(2n + 3)/(2n + 3)!. Given |x| < 1, n = 2 will be the least integer solution. Thus, we need 2 + 1 = 3 terms.</span>
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