Answer:
Step-by-step explanation:
1/4y - 1/2
= 1/4y x 4 : 4 - 1/2
= y/4 - 1/2
Given that x = 2 + 2^(2/3) + 2^(1/3)
so x - 2 = 2^(2/3) + 2^(1/3)
=(x-2)^3 = [2^(2/3)+2^(1/3)]^3
use (a-b)^3= a^3 - b^3 - 3ab(a-b)
and (a+b)^3= a^3 + b^3 + 3ab(a+b) formulae.
or x^3 - 8 - 6x(x-2) = 2^2 + 2^1 + 3*[2^{(2/3)+(1/3)}[2^(2/3)+2^(1/3)
or x^3 - 8 - 6x^2 + 12x = 4 + 2 + 6(x-2)
or x^3 - 8 -6x^2 + 12x = 6 + 6x - 12
or x^3 - 6x^2 +6x = 2
Answer:
The numbers are 7 and 42
Step-by-step explanation:
Let x and y be the numbers
x = 6y
x-y = 35
Substitute the first equation into the second equation
6y -y = 35
Combine like terms
5y = 35
Divide by 5
5y/5 = 35/5
y = 7
Now find x
x = 6*y
x = 6*7
x = 42
Answer:
substitute y in the other equation
Step-by-step explanation:
so for 10.1 substitute the x+3 in for y in y+x+1 bc thats what the first equation tells you. So then you would have x+3=x+1, so then you would solve and would get x+2=x which is obviously not true so you would say : the lines intersect or whatever your teacher said to say
but if the equation is true then you plug that variable in for either of the equations and then you have the other variable (sorry if that makes no sense)
Answer:
14.32
Step-by-step explanation:
Since this is a right triangle, we can us the Pythagorean theorem
a^2 + b^2 = c^2
3^2 + 14^2 = JL ^2
9+196 = JL ^2
205 = JL ^2
Taking the square root of each side
sqrt(205) = JL
14.31782106 = JL
To 2 decimal places
14.32