by triangle angle addition law
a + b + c = 180
3x +1 + 2x-1 +40 = 180
5x +40 = 180
5x = 180 - 40 = 140
x = 140/5 = 28
so
b = 2x -1 = 2×28-1= 56-1 = 55
Answer:
hello :
f(x) = 13/ (x-3)
f(x) exist : x - 3 ≠ 0
x - 3 = 0 : x = 3
the domain of the function : f is D = ]-∞:3[ U] 3;+∞[
Step-by-step explanation:
First you draw the right triangle and plug in everything you already know
Then you do the pythagoreon theorem
The ladder is 10 ft
We have to determine if the sets of quadratics are equivalent:
A ) x² - 10 x - 14 = 0 and ( 2 x - 10 )² = 156
( 2 x - 10 )² - 156 = 0
4 x² - 40 x + 100 - 156 = 0
4 x² - 40 x - 56 = 0 / : 4
x² - 10 x - 14 = 0 T ( True )
B ) ( x - 10 )² = 68 and x² - 20 x = - 32
( x - 10 )² = 68
x² - 20 x + 100 = 68
x² - 20 x = 68 - 100
x² - 20 x = - 32 T ( True )
C ) x² - 6 x = 247 and ( x - 3 )² = 256
( x - 3 )² = 256
x² - 6 x + 9 = 256
x² - 6 x = 247 T ( True )
D ) ( x + 5 )² = 65 and x² = 90 - 10 x
( x + 5 )² = 65
x² + 10 x + 25 = 65
x² = 65 - 25 - 10 x
x² = 40 - 10 x F ( False )
Hi,
Domain of (fog)(x) is R \ {13} =(-oo 13[ U ]13 +oo)
