Using the Pythagorean theorem
c^2 = a^2 +b^2
C^2 = 12^2 + 8^2
c^2 = 144 +64
c^2 = 208
c= sqrt(208)
c= 14.4 feet
To find the input value that produces the same output value for the two functions on the graph, it is the x<span> coordinate where the two graphs touch. So, for the given graph above, the value which is on the x coordinate is -2. Thus, the answer is x = -2. </span>
The answer is: [A]: " 20a − 5b − 9 " .
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Explanation:
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(12a <span>+ 7b) + (−6a − 9) + (14a − 12b) =
12a </span><span>+ 7b + 1(−6a − 9) + 1(14a − 12b) =
</span>
12a + 7b + (1*-6a) + (1*-9) + (1*14a) + (1* -12b) =
12a + 7b − 6a − 9 + 14a − 12b = ?
Combine the "like terms:
12a − 6a + 14a = 20a ;
7b − 12b = - 5b ;
and then we have "-9" ;
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So, write as: " 20a − 5b − 9 " ; which is: Answer choice: [A].
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