is a right triangle with base length 1 and height 8, so the area of
is
.
The average value of
over
is given by the ratio
The denominator is just the area of
, which we already know. The average value is then simplified to
In the
-plane, we can describe the region
as all points
that lie between the lines
and
(the lines which coincide with the triangle's base and hypotenuse, respectively), taking
. So, the integral is given by, and evaluates to,
Answer:
Lines are described as connecting curve joining two points.
Step-by-step explanation:
In coordinate geometry, graph theory, we have points which do not occupy any space.
Any two points can be connected by a curve or a straight line. If two points are joined by a straight line, then we have the slope of the line i.e. the tangent of angle of the line with x axis is constant.
Straight lines would be of the form ax+by+c=0
Hence in equation form, lines would have equations in linear form of both x and y.
Lines have constant slope throughout the region.
Lines can be extended from -infinity to +infinity
Any two distinct points can make a line, but 3 points need not lie on the same line.
Answer:
Because it helps children and other people understand how the number system works. if you develop number sense you will have a range of different maths strategies like addition subtraction
