Answer is option b)38.5 sq.units
Given vertices are A(-4,2) ,B(3,2),C(3,-5) and D(-4,-2)
Area of polygon is defined in the image.
If you have any doubts see the image or ask in comments box.
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We know that
4 3/4---------> (4*4+3)/4----------> 19/4
1 1/10-----------> (10*1+1)/10----> 11/10
[pounds left]=[(19/4)-(11/10)-(2)]----> (10*19-4*11-40*2)/40
=(190-44-80)/40-------> 66/40---------> 1.65 pounds
1.65-----> 1 65/100--------> 1 13/20 pounds
the answer is 1.65 pounds (1 13/20 pounds)
The possible solution to the equation given is 3 and -1/3
<h3>Laws of logarithm</h3>
Given the logarithmic expression given as:
log,(8x) – log,(x^2 - 1) = log, 3
Applying the product and quotient rule will give:
log(8x/x^2-1) = log3
8x/x^2-1 = 3
Cross multiply
8x = 3x^2 - 3
3x^2 - 8x - 3 = 0
3x^2 -9x + x - 3 = 0
3x(x-3)+1(x-3)
x - 3 = 0 and 3x = -1
x = 3 and -1/3
Hence the possible solution to the equation given is 3 and -1/3
Learn more on logarithm here: brainly.com/question/25710806
Simplifying:
2t+-7=1
Reorder the terms:
-7+2t=1
Solving variable for "t."
Move all terms containing "t" to the left
Add "7" to each side of the equation
-7+7+2+=1+7
Combine the terms
-7+7=0
0+2+=1+7
2t=17
Combine the like terms:
1+7=8
2t=8
Divide each side by 2. You now have: t=4
Good luck, hope this helped! :)