The equation for KG would be y-14=-1(x-2) and the equation for HG would be y-4=1(x-12).
We first find the slope of KG. The formula for slope is
m=(y₂-y₁)/(x₂-x₁)
Using the points we have for KG, we have
m=(4-14)/(12-2) = -10/10 = -1
The equation for point-slope form is
y-y₁=m(x-x₁)
Using the slope of KG and the first point listed for that line, we have
y-14=-1(x-2)
Now we find the slope of HG:
m=(10-4)/(18-12) = 6/6 = 1
Using the point of intersection for KG and HG, we have
y-4=1(x-12)
True.
Since
,
and the solutions are decreasing functions.
Answer:
Step-by-step explanation:
The directrix y=-6 is parallel to the x axes, so parabola has equation of the form
where 
is the vertex of parabola and p is parabola's parameter.
By the definition, 
is the distance from the vertex to the directrix, so
Hence, the equation of parabola is
See attached diagram for the graph of parabola and its directrix.
In vertex form this equation is
Answer:
Inferential statistics
Step-by-step explanation:
When we conduct a poll, we aim to make a generalization about the population or units under study. The recent poll of 1971 home owners in West Virginia showed that the average (mean) price of house <em>in the U.S</em><em>.</em> is $319,000.
Recall that this poll was conducted only in West Virginia but the result or finding of the poll is being generalized over the U.S. as a whole. Hence, we are using the sample (fraction) to determine the population (whole) of home owners in the U.S. This is what we call <em>statistical inference or inferential statistics.</em>
The answer as a decimal is 0.06507705122
Hope this helps!
