F(x) = |2x-1|-5
f(x) = |2*(x)-1|-5
f(-3) = |2*(-3)-1|-5 ... replace every x with -3
f(-3) = |-6-1|-5
f(-3) = |-7|-5
f(-3) = 7-5
f(-3) = 2 which is the final answer
Side Note: the vertical bars mean "absolute value" which represents distance. Negative distance makes no sense which is why absolute value results are never negative.
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You wanna write an equation to find out what the two lengths will be. Because the string in 17 feet the equation has to equal 17. Then for the shorter length you need to symbolize it with a variable (x). For the longer side it is the smaller number plus five(x+5).
Therefore, the equation is x+(x+5)=17
from there you get x= 6ft which leaves the longer side equaling 11ft
We know :
<em />To prove: AD = CD
AB = CB
angle BEA = angle BEC
BE = BE (common side)
So, by SAS criterion (Side-Angle-Side),
ΔBEA congruent to ΔBEC.
By seeing the corresponding parts of the Congruent triangles, we observe:
AE = CE
So,
in triangles AED and CED,
ED = ED (common side)
AE = CE (given)
angle AED = angle CED
So, by SAS criterion:
ΔAED is congruent to ΔCED.
Therefore, by observing the corresponding parts of congruent triangles,
we can say that: AD = CD.
The answer is the first one. You know because -4x x 5 is -20x and this option is the only one with -20x included.
