If y varies directly as x and if x = 2 when y = 8 then k = 4.
If y varies directly as x then k = 2.
y varies directly with x means y = kx, where k is the constant of the variation. When x = 2.5 and y = 5, we have y = kx 5 = 2.5k k = 2 When x = 10, y = kx y = (2)(10) y = 20
Half of 2x squared is x squared. To find half of a term, you divide the coefficient by 2 and keep the variable and exponent the same. In this case, half of 2 is 1, so the expression simplifies to x squared.
2. 2 squared = 4, and 4-2 = 2
2x -2 squared = 0
f(2) = 24.
20
40
What is y? Fx varies with x, but y could be anything.
If y varies directly as x then k = 2.
y = -5
y = kx3/2If y2 varies directly with x3, then y varies directly with sqrt(x3) or x3/2.Unfortunately, limitations of the browser used by Answers.com means that we cannot see most symbols. If your question is not answered, please resubmit it, spelling out the symbols as "plus", "minus", "equals" etc. Also use ^ to indicate powers (x^2) or x-squared. :-)
To find the answer, You Find the square root of 7 Squared (7^2) and add 9 Squared (9^2). So you have Sqrt(7^2+9^2). Works out at about 11.40175
y varies directly with x means y = kx, where k is the constant of the variation. When x = 2.5 and y = 5, we have y = kx 5 = 2.5k k = 2 When x = 10, y = kx y = (2)(10) y = 20
Half of 2x squared is x squared. To find half of a term, you divide the coefficient by 2 and keep the variable and exponent the same. In this case, half of 2 is 1, so the expression simplifies to x squared.
cos(30) = sqrt(3)/2 so cosine squared is 3/4.
Since ( x ) varies directly with ( y ) and inversely with ( z ), we can express this relationship as ( x = k \frac{y}{z} ), where ( k ) is a constant. Given that ( x = 5 ) when ( y = 10 ) and ( z = 5 ), we can find ( k ): [ 5 = k \frac{10}{5} \implies k = 2. ] Now, to find ( x ) when ( y = 20 ) and ( z = 10 ): [ x = 2 \frac{20}{10} = 4. ] Thus, ( x ) equals 4.