Answer:
x
Step-by-step explanation:
(log to the base 3) of 27^x can be re-written as
x*(log to the base 3) of 27, which is equivalent to:
x*(log to the base 3 of 3^3) = x
So the answer is simply " x "
The arc length is the product of the angle measure in radians and the radius.
... s = r·θ
So, the angle in radians is the ratio of arc length to radius.
... θ = s/r
To convert from radians to degrees, multiply by the conversion factor 180°/(π radians).
... y = s/r·(180°/π)
Then the angle is between
... 15/20·180/π ≈ 42.97
and
... 16/20·180/π ≈ 45.84
Suitable integers in this range are 43, 44, and 45.
One possible integer value of y is 44.
Answer:
52
Step-by-step explanation:
If a decimal of a number is less than 0.5 then you round down
7. (x-7)(x-7)
8. (3x-5y)(3x-5y)
9. (x-15)(x+3)
10.(7m+6n)(7m+6n)
11. (2x+1)(2x+1)
12. (7x+2)(7x+2)
13. (p-18)(p+4)
Notice how 7,8,10,11, and 12 are all perfect squares. A good way to tell if a trinomial can be factored into a perfect square is if the square root of the coefficient of your variable multiplied by the square root of the constant (number with no variable) multiplied by 2 equals the middle term's coefficient.
For example, take 4x^2+16x+16. Taking the square root of 4 gives us 2. Taking the square root of 16 gives us 4. So, 2*2*4=16, which is our middle term, thus proving that this trinomial is indeed a perfect square.
