Tennis balls are packed into a square box 23cm on one side. The tennis balls can be touching, but they can't be compressed. (1in
1 answer:
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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
-86 = -6(-3p - 3) - 5p
Distribute the -6 into the parentheses:
-86 = (-6 * -3p) + (-6 * -3) - 5p
-86 = 18p + 18 - 5p
Simplify:
-86 = 13p + 18
Subtract both sides by 18:
-86 - 18 = 13p + 18 - 18
-104 = 13p
Divide both sides by 13:
=
=
<u>p = -8</u>
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Good luck! If you have any questions, don't be afraid to ask :))
-T.B.