Which number line represents all of the values of x for the equation x2 = 36?
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
Answer:
Part A:
Part B:
and
Step-by-step explanation:
Part A:
The inicial concentration of the lemonade is 50%, and the volume is 4 quarts, and we will add x quarts of a lemonade with a concentration of 100%, so the total volume will be y, and the concentration will be 0.7, so we have that:
Using the value of y from the first equation in the second one, we have:
Part B:
If he shoots a total of ten targets, we can write the equation:
Each stationary target is 2 points, and each moving target is 3 points, so if the total points is 23, we have:
If we subtract the second equation by two times the first one, we have:
⇒