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
Answer:
120strip
Step-by-step explanation:
Hey,
I could actually answer the question now, so I am going to put it here as well so the people don't have to read the comments above.
<span>Use the Pythagorean Theorem to find the hypotenuse:<span>a² + b² = c²
5² + 5² = c²
25 + 25 = c²
50 = c²
√50=√(c^2 )
7.07 = c
Answer: 7
Cheers,
Izzy</span></span>
Answer:
The total length of fabric sue buys is 8.5 yards and total cost of the fabric is $42.5 .
Step-by-step explanation:
As given
Sue buys 5 pieces of fabric.
i.e
In the decimal form
Total length of fabric sue buys = 8.5 yards
As given
One yard of the fabric costs $5
= $ 42.5
Therefore the total length of fabric sue buys is 8.5 yards and total cost of the fabric is $42.5 .
