2problems!

solve the absolute value equation. check for extraneous solutions: |x+5|=9

write the equation for after being translated to the left 6 units and (x)f = x3 up 4 units.

 x=4   (solution)                             x=-14             (extraneous solution )

Step-by-step explanation:

|x+5|=9 original equation

Equation can be equal to +9   and -9

x+5 =9                           x+5 =-9

x= 9-5                            x=-9-5

 x=4   (solution)                             x=-14             (extraneous solution )

for checking  

x+5 = 9                                            x + 5=9

4+5= 9                                             -14+5=9

9=9                                                    -9=-9                                

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.

ljn

step-by-step explanation: