No there's something bad wrong. I must have entered it wrong in desmos. When x = 4.5 then y does not equal 0.
81^x = 64 ==> \(x = \log_{81} 64\)
Then \(27^{x + 1} = 27^{\log_{81} 64 + 1} = 243\)
Because of the sqrt(i) term, i must be a perfect square. There are 44 perfect squares in the range 1, 2, 3, ..., 2010, so there are 44 vaues of i.
Use https://www.desmos.com/calculator to graph it.
It looks like the least distance from the origin to the curve is where
the parabola crosses the x-axis, at about a shade less than +4.5.
There are 4 integers for which there is no real solution. They are: 7, 8, 9, 10
Therefore, the probability is =4 / 10 = 2 /5
same i feel you rosala!
100 - 36 = 64 - The larger segment of hypotenuse
Sqrt(64 * 36) = 48 - which is the altitude (The red dotted line).
In the smaller right triangle to the RHS, will use Pythagoras's Theorem to solve for x.
x^2 =36^2 + 48^2
x^2 = 3600 Take the square root of both sides
x = 60
hey, like the other person who commented here, i dont know you either but ill be happy to and welcome back....... l
1. I'm not sure, I'm not a mod here.
2. They are locked, I think.
Simplify the following: sqrt(6 sqrt(5) + 14)
Factor 2 out of 14 + 6 sqrt(5) giving 2 (3 sqrt(5) + 7): sqrt(2 (3 sqrt(5) + 7))
2 (7 + 3 sqrt(5)) = 9 + 6 sqrt(5) + 5 = 9 + 6 sqrt(5) + (sqrt(5))^2 = (sqrt(5) + 3)^2: sqrt((sqrt(5) + 3)^2)
Cancel exponents. sqrt((3 + sqrt(5))^2) = sqrt(5) + 3: 3 + sqrt(5)
Just do term by term on your calculator:
1 - sqrt(45 ) =6.7082039......
2 - 2*sqrt(5) = 4.472135955......
3 - Sqrt(360) / sqrt(2) =13.4164078.....
4 - [6.7082039...... - 4.472135955...... + 13.4164078..... = 15.65247584... This number is the square root of N.
5 - All you do is to square the result in 4: 15.65247584^2 =245 - which is your N. Simple, right?
so in query 2 I meant that I cant post on a ques ive posted a few months ago and in query 3 I meant that ….well…..somehow the edit I do In the ques goes away before finally posting the ques and i cant post on other peoples ques aswell, which i really wanna do, i want to reply but its like im trapped.......….which is why I'm writing this answer cos I cant edit it….. -_-
okay, lets remove query 6, i got that....
7x-2y= 3 re arrange
2y = 7x-3
y = 7/2 x - 3/2 slope , m = 7/2
perpindicular slope = - 1/m = - 2/7
y = -2/7 x + b sub in the point given
6 = - 2/7 (-1) + b show b = 5 5/7
y = -2/7 x + 5 5/7
Hello, Guest!
Alan's equation is solvable; it just takes more time, but the result is the same.
65 / x+25 = 25 / 65
Step 1: Cross-multiply.
65 * 65 = 25 * x+25
4225 = 25x + 625
Step 2: Flip the equation.
25x + 625 = 4225
Step 3: Subtract 625 from both sides.
25x + 625−625 = 4225−625
25x = 3600
Step 4: Divide both sides by 25.
25x / 25 = 3600 / 25
x = 144
Here is a simple computer code written in Python 3 to find ANY modular inverse of any number!
# Python 3 program to find modular
# inverse of "a" under modulo "m"
def modInverse(a, m) :
a = a % m;
for x in range(1, m) :
if ((a * x) % m == 1) :
return x
return 1
# Driver Program
a = 239
m = 96137
print(modInverse(a, m))
Answer ="Modular Multiplicative Inverse" = 32,582
h = sqrt (652 - 252) = 60
25 / 60 = 60 / x
This is a dome shaped parabola...if you find the zeroes...
via quadratic fomula zeores = - 2/3 (throw out ) and 1/3
please help, i have to teach my brother how to do this after. thanks
Of the first 100 Fibonacci numbers, exactly 25 are divisible by 3.
3 ( x^2-8x) + 72
'complete the square' take 1/2 of the x coefficient square and add it ....and subtract it
3 (x^2-8x+16) -48 + 72
(notice we had to subtract 3 times 16 because it is in the bracket multiplied by 3
3 (x-4)^2 +24 now you can add a b and c
sum((1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 50, 56, 70, 100, 140, 175, 200, 280, 350, 700, 1400)=3720
That is incorrect
From the first triangle the sum of angles = 180 which means x = 53
then since the triangle are congruent 11 = x - y = 53-y which means y = 42
Since 2*51^x can get very big, the range is (-inf,3].
The largest possibe value of b is 1*3 = 3.
l
