Cot x = cos x / sin x = 0.85 / 0.52 = 1.6346
Y
-7
-4
-1
2
5
(X,Y)
(-2,-7)
(-1,-4)
(0,-1)
(1,2)
(2,5)
Answer:
(x-1)^2 + (y+4)^2 = 4
Step-by-step explanation:
The equation for a circle is given by
(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius
(x-1)^2 + (y- -4)^2 = 2^2
(x-1)^2 + (y+4)^2 = 4
Complete the square.
Use de Moivre's theorem to compute the square roots of the right side.
Now, taking square roots on both sides, we have
Use de Moivre's theorem again to take square roots on both sides.
![\implies z = {w_2}^{1/2} = \boxed{\pm \sqrt[4]{3} \, \exp\left(-i\dfrac{5\pi}{12}\right)}](https://tex.z-dn.net/?f=%5Cimplies%20z%20%3D%20%7Bw_2%7D%5E%7B1%2F2%7D%20%3D%20%5Cboxed%7B%5Cpm%20%5Csqrt%5B4%5D%7B3%7D%20%5C%2C%20%5Cexp%5Cleft%28-i%5Cdfrac%7B5%5Cpi%7D%7B12%7D%5Cright%29%7D)
Hence, the value of x is 1.
<h2>What is length?</h2>
Length is defined as the measurement or extent of something from end to end. In other words, it is the larger of the two or the highest of three dimensions of geometrical shapes or objects.
<h3>How to solve?</h3>
It can be observed that the given 2 triangles are congruent.
we know, for congruent triangles, the length of corresponding sides is equal.
Hence,
AB = DE
4x - 1 = x + 2
3x = 3
x=1
Therefore, the value of x is 1.
to learn more about length: brainly.com/question/18077445
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