The locus is the circle with its radius that size and its center at that point.
Its equation is (x+3)^2 + (y+1)^2 = 81.
Answer:
y - 1 = (1/3)(x - 3)
Step-by-step explanation:
By inspection we see that if x increases by 6, y increases by 2. Thus, the slope of the line connecting 2 or more of these points is m = 2/6, or m = 1/3.
Using the point-slope formula y - k = m(x - h), we substitute 1/3 for m, 3 for h and 1 for k, obtaining:
y - 1 = (1/3)(x - 3)
Answer:
Step-by-step explanation:
The formula for determining the distance between two points on a straight line is expressed as
Distance = √(x2 - x1)² + (y2 - y1)²
Where
x2 represents final value of x on the horizontal axis
x1 represents initial value of x on the horizontal axis.
y2 represents final value of y on the vertical axis.
y1 represents initial value of y on the vertical axis.
From the given information,
x2 = - 1
x1 = 4
y2 = 6
y1 = 3
Therefore,
Distance = √(- 1 - 4)² + (6 - 3)²
Distance = √(- 5² + 3²) = √(25 + 9) = √34
Distance = 5.83
It has 8 faces but 12 vertices