Answer:
option C
x = 2 , x = -5
Step-by-step explanation:
You have to remember the "Quotient Rule" for exponent having same base.
The quotient rule tells us that we can divide two powers with the same base by subtracting the exponents.
Here,
base = 12
exponents = (x² + 5x - 4) , (2x + 6)
12^(x² + 5x - 4) = 12^(2x + 6)
12^((x² + 5x - 4) /(2x + 6)) = 1
12^((x² + 5x - 4) -(2x + 6)) = 1
12^(x² + 5x - 4 - 2x - 6) = 1
12^(x² + 5x - 2x - 4 - 6) = 1
12^(x² + 3x - 10) = 1
ln (12^(x² + 3x - 10)) = ln(1)
(x² + 3x - 10)ln(12) = 0
ln(12) = 0 rejected
x² + 3x - 10 = 0
Now solve the quadratic equations by factorisation.
(x-2)(x+5) = 0
x = 2 , x = -5
Answer:
42, 44, 46, 48
Step-by-step explanation:
Let x be the first number. Then x + x + 2 + x + 4 + x + 6 = 180.
We can combine like terms, getting 4x + 12 = 180.
Then we get x as 42.
The numbers are 42, 44, 46, 48.
Answer:
D = 90°
Step-by-step explanation:
the square on the angle means its a right angle and right angle is always 90°
