Answer:
x=6
Step-by-step explanation:
81^x = 27 ^(x+2)
81 = 3^4 and 27 =3^3 so replace 81 and 27 in the equation
3^4^x = 3^3^(x+2)
When we have a power to a power we can multiply the exponents
a ^b^c = a^(b*c)
3^(4x) = 3^(3*(x+2))
Since the bases are the same, the exponents have to be the same
a^b = a^c means b=c
4x = 3(x+2)
Now we can solve for x
Distribute
4x = 3x+6
Subtract 3x from each side
4x-3x = 3x-3x+6
x = 6
10 because x+x = 20
a+b=c
Answer:
Step-by-step explanation:
• The shape of the curve is a rose curve.
• The domain are real numbers
• And the range is approximately from -2 to 2
The maximum value of r on the graph is 2
• Yes the graph is continuous and it is bounded above and below
• The graph is symmetrical about the x axis and not about the y axis.
• No asymptotes
Answer:
2/3
Step-by-step explanation:
6x + 4y = 72
-6x -6x
4y = 72 - 6x
/4 /4
y = 18 - 6/4x
y = -6/4x + 18
perpidicular slope is the opposite reciprical of the original line:
-6/4 is the slope of the line above.
4/6 or 2/3 would be the desired slope
check:
the two slopes mutplied would equal -1
-6/4 x 2/3 = -12/12 = -1
