Booker has 4 packs of trading cards. There are 12 cards in each pack. is this divison
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Answer:
Step-by-step explanation:
Hi there!
Slope-intercept form: where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
<u>1) Determine the slope</u>
where the two given points are
and
Plug in the given points (-1, 4) and (0, 2)
Therefore, the slope of the line is -2. Plug this into :
<u>2) Determine the y-intercept</u>
Recall that the y-intercept is the value of y when the line crosses the y-axis, meaning that the y-intercept occurs when x is equal to 0.
One of the given points is (0,2). Notice how y=2 when x=0. Therefore, the y-intercept of the line is 2.
Plug this back into the equation:
I hope this helps!
In the first octant, the given plane forms a triangle with vertices corresponding to the plane's intercepts along each axis.
Now that we know the vertices of the surface
, we can parameterize it by
where
and 
. The surface element is
With respect to our parameterization, we have
, so the surface integral is
Now that we know the vertices of the surface
where
With respect to our parameterization, we have