<span>The underlined place in 83.5851 which is then rounded to the nearest thousandth is </span>A. tenth; 83.585 .
Step-by-step explanation:
If the parabola has the form
(vertex form)
then its vertex is located at the point (h, k). Therefore, the vertex of the parabola

is located at the point (8, 6).
To find the length of the parabola's latus rectum, we need to find its focal length <em>f</em>. Luckily, since our equation is in vertex form, we can easily find from the focus (or focal point) coordinate, which is

where
is called the focal length or distance of the focus from the vertex. So from our equation, we can see that the focal length <em>f</em> is

By definition, the length of the latus rectum is four times the focal length so therefore, its value is

Answer:
15
Step-by-step explanation:
x/3 + 3 = 8
x/3 + 9/3 = 8
x + 9 = 24
x = 15
Answer:
y = 2x + 4
Step-by-step explanation:
Two points on this line are (-2, 0) and (0, 4). Going from the first to the second, x increases by 2 (this is the 'run') and y increases by 4 ('rise').
Thus, the slope of this line is m = rise / run = 4/2 = 2
Using the slope-intercept formula, we get y = mx + b = 2x + b
Let x = -2 and y = 0 to find b: 0 = 2(-2) + b, so b = 4, and the desired equation is then:
y = 2x + 4
Answer:
1000
Step-by-step explanation: