Answer: The required value of the expression at x= 80 is 16.

Since k is constant (the same for every point), we can find k when given any point by dividing the y-coordinate by the x-coordinate. For example, if y varies directly as x, and y = 6 when x = 2, the constant of variation is k = = 3. Thus, the equation describing this direct variation is y = 3x.

The Coulomb constant, the electric force constant, or the electrostatic constant (denoted ke, k or K) is a proportionality constant in electrostatics equations. In SI units it is equal to 8.9875517923(14)×109 kg⋅m3⋅s−2⋅C−2.

We know that quadratic equation has two equal roots only when the value of discriminant is equal to zero. We know that two roots of quadratic equation are equal only if discriminant is equal to zero. , we cannot have k =0. Therefore, we discard k=0.

We know that if the system of equation has unique solution then a1a2≠b1b2. Hence, for the system of equations to have a unique solution the value of k must not be 6. So, the answer is k can have any value other than 6.

So, for k=2 the given system of the linear equations has infinite solutions.

Then, by substituting all the values of constants in the condition of inconsistency and by using the first two equality relation, we get the value of k. Complete step by step answer: In this question, we are supposed to find the value of k for the pair of linear equations 4x-5y=5 and kx+3y=3 is inconsistent.

Hence, the given system of equations will have infinitely many solutions, if k=2.

yx=k. Where k is a constant. Rewriting this equation by multiplying both sides by x yields: y=kx. Notice that this is a linear equation in slope-intercept form, where the y -intercept b is equal to 0 .

Slope is the ‘steepness’ of the line, also commonly known as rise over run. We can calculate slope by dividing the change in the y-value between two points over the change in the x-value.