<h2>The Square root of 5.4289 is 2.33</h2>
(explanation attached)
Given:
The equation of a circle is:

To find:
The center and radius of the circle.
Solution:
We have,

To make complete square add square of half of x and square of half of y on both sides.




...(i)
The standard form of a circle is:
...(ii)
On comparing both sides, we get

Therefore, the center of the circle is (-2,3) and the radius is 3 units.
Answer: Yes you can using the sum of internal angles in a triangle they add up to 180, so if you add the two given angle measures and them substract the result from 180 you will have the measure of the third angle. Hope this helps. :)
Step-by-step explanation:
Step-by-step explanation:
x = 2 is, as you can see, parallel to the y-axis.
perpendicular to this (= crosses the original line in an angle of 90 degrees) is then a line parallel to the x-axis.
that means y is constant. all points on that line will have the same y value.
and we know one point already : (3, -2)
so all points of the perpendicular line will have y = -2
and that is the equation of the perpendicular line :
y = -2
Answer:
f'(x) = -6/x³
Step-by-step explanation:
We are given;
f(x) = 3/x²
Using quotient rule, we can write as;
f(x) = g(x)/h(x)
To find the derivative, from quotient rule, we can write;
f'(x) = [(h(x)*g'(x)) - (g(x)*h'(x))]/(h(x))²
g'(x) = 0
h'(x) = 2x
Thus;
f'(x) = [(x²*0) - (3*2x)]/(x²)²
f'(x) = -6x/x⁴ = -6/x³
f'(x) = -6/x³