Calculate the slope of each line. Click on the appropriate cell in the table to highlight the line you are interested in.
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The quadrilateral is a trapezoid and the area of the quadrilateral is 85.04 square units
<h3>How to determine the quadrilateral?</h3>The vertices are given as:
A:(-2, 3) B:(4, -6) C:(10, 2) D:(6, 8)
Next, we plot the vertices (see attachment)
From the attached graph, we can see that the quadrilateral is a trapezoid
<h3>How to determine the area?</h3>From the plot, we have the following features:
Height: AD
Parallel sides: CD and AB
Calculate the lengths using:
So, we have:
The area is then calculated as:
Area = 0.5 * (CD + AB) * AD
This gives
Area = 0.5 * (√52 + √117) * √89
Evaluate
Area = 85.04
Hence, the area of the quadrilateral is 85.04 square units
Read more about areas at:
#SPJ1
If period of 
is one-half the period of 
and
<span> has a period of 2π, then 
and 
.
</span>
To find the period of sine function
we use the rule 
.
<span /><span />
f is sine function where f (0)=0, then c=0; with period
, then 
, because 
.
To find a we consider the condition
, from where 
.
If the amplitude of is twice the amplitude of , then has a product factor twice smaller than and while period of <span> </span> is 2π and g(0)=0, we can write 
.
<span>
</span>
To find the period of sine function
<span /><span />
f is sine function where f (0)=0, then c=0; with period
To find a we consider the condition
If the amplitude of