Answer:
The circle is centered at (-8,3) and has a diameter of 20 units
Step-by-step explanation:
we know that
The equation of a circle in center radius form is equal to
where
(h,k) is the center of the circle
r is the radius of the circle
In this problem we have
so
The center is the point (-8,3)
The radius is 
so
The diameter is two times the radius
therefore
The circle is centered at (-8,3) and has a diameter of 20 units
So remember that paralell lines have the same slope
y=1/4x-6
1/4=slope
so we set up a new equation in slope intercept form
y=mx+b
m=slope
b=y-intercept
y=1/4x+b
one solution si (-1,5) where x=-1 and y=5
subsitute
5=1/4(-1)+b
5=-1/4+b
add 1/4 to both sides
5+1/4=21/4=b
the answer is y=1/4x+21/4
Answer:
4-3=1
8-9=-1
Step-by-step explanation:
I hope this helps
Check the picture below.
now, we know the directrix is at y = 1, and the focus point is at 1,3, well, notice the picture, the distance between those fellows is just 2 units.
the vertex is half-way between those fellows, therefore, the vertex will be at 1,2.
the distance "p", from the vertex to either the directrix or focus, is really just 1 unit. Since the focus point is above the directrix, is a vertical parabola, and it opens upwards, like in the picture, and since it opens up, the "p" value is positive, or +1.
Answer:
Bottom left
Step-by-step explanation:
The point of reflection is the bottom left one because when reflecting a figure in a line or in a point, the image is congruent to the preimage. A reflection maps every point of a figure to an image across a fixed line. The fixed line is called the line of reflection.
