We have point
, so first calculate
. There will be:
Now, we can write the equation of the normal line as:
Normal line (and every line) crosses x-axis when y = 0, so coordinates of A:
9514 1404 393
Explanation:
The problem statement tells you what to do.
25^(n-1) +125 -6·5^n = 0 . . . . . subtract 6·5^n
(5^2)^(n-1) -6·5^n +125 = 0 . . . . express 25 as a power of 5
5^(2n-2) -6·5^n +125 = 0 . . . . . eliminate the double layer of exponent
(5^-2)(5^n)^2 -6·5^n +125 = 0 . . . . . use 5^n where possible
(1/25)y^2 -6y +125 = 0 . . . . . . . substitute y = 5^n
y^2 -150n +3125 = 0 . . . . . . . . . multiply by 25
_____
The applicable rules of exponents are ...
(a^b)^c = a^(bc)
(a^b)(a^c) = a^(b+c)
a^-b = 1/a^b
Find the points and then write them on graph. You basically already have the answer because its all on the graph. First calm down and re-look at it. When your less stressed your less likely to get the answer wrong. Just try. Its all there.
Well if you plug 1/6 into the calculator it gives you the value of 0.166666667.
Then to make it a percentage you multiply it by 100
16.7% to 1 decimal place like the question
17.5% > 16.7%
Hence, 17.5% is bigger than 1/6
Answer:
x=9.6
Step-by-step explanation:
First, we have to find a similarity statement including x with 3 other values. One that we can do is long leg/hypotenuse=long leg/hypotenuse. If we use the small triangle we can get x/12 (x being long leg, 12 being hypotenuse), and using the big triangle we can get 16/20 (16 being long, 12 being hypotenuse). So, if x/12=16/20, we can solve and get that x=9.6
