Answer:
The center is (-8/3,0) and the radius is 1
Step-by-step explanation:
(x+8/3)^2 + y^2 = 1
We know the equation of a circle is given by
(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius
Rewriting
(x- -8/3)^2 + (y-0)^2 = 1^2
The center is (-8/3,0) and the radius is 1
The slope for both the line is m= 1/3 and they are parallel lines , Option B and C are correct two options
The first equation is
y = (1/3)x-4 and not y = -x-4
(if the equation is not corrected then it will not have two true statements)
<h3>What is a System of Equation ?</h3>
A system of equation is a set of equation which have a common solution
The given system of equation is
y = (1/3)x-4
3y -x = -7
3y = x-7
As it can seen from the standard equation of a line that
y =mx+c
so slope for both the line is m= 1/3
Therefore they are parallel lines
Thus , Option B and C are correct two options
To know more about System of Equation
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The exterior angles on this diagram are angle 4 and angle 2.
We can see this because an exterior angle is the angle that forms a straight line with an interior angle, so that 180 - [interior angle] = [exterior angle].
Therefore, angles 4 and 2 are the only angles that form straight lines with interior angles, so they are thus the exterior angles.
I hope this helps!
If a triangle is inscribed in a circle such that one side of that triangle is a diameter of the circle, then the angle of the triangle that is opposite the diameter is a right angle.
Therefore we have the equation:
5x = 90 <em>divide both sides by 5</em>
x = 18
<h2>
Answer: A: 18</h2>