Answer:
x=8
x=-2
Step-by-step explanation:
Find the center, which is the midpoint of the two endpoints given.
(x1 +x2)/2 , (y1 +y2)/2
(4-2)/2 , (-3+5)/2
2/2 , 2/2
Midpoint = (1,1)
Find the radius, which is the distance from the center to an end point.
√(x2-x1)^2 +(y2-y1)^2
√(4-1)^2 + (-3-1)^2
√(3^2 + -4^2)
√9+16
√25
r = 5
The equation for a circle is written as (x-h)^2 + (y-k)^2 = r^2
h and k are the center points.
Replace the letters with their values to get:
(x-1)^2 + (y-1)^2 =25
Answer: 0.33 or 1.32 or 6.6%
Step-by-step explanation:
Answer:
See attached image
Step-by-step explanation:
This equation for a parabola is given in vertex form, so it is very simple to extract the coordinates of its vertex, by using the opposite of the number that accompanies the variable "x" in the squared expression (opposite of 2) for the vertex's x-value, and the value of the constant (-6) for the vertex's y-value.
The vertex coordinates are therefore: (-2,-6)
The equation of the axis of symmetry of the parabola is a vertical line passing through the vertex. Since all vertical lines have the shape x = constant in our case, in order to pass through (-2,-6) the vertical line is defined by the equation: x = -2.
See image attached to find the vertex drawn as a red point, and the axis of symmetry as an orange vertical line passing through it.