Find equations of the tangent lines to the curve y = ( x − 1) / (x + 1) that are parallel to the line x − 2y = 5.

Step-by-step explanation:

The first step is obtain the derivative of the function y:

(Remember that the slope of the tangent line to any curve is given by its derivative).

Secondly, in order to obtain the equations of the tangent lines parallel to x - 2y = 5 we need to obtain the slope of this line, remember that the line equation is given by:

m : slope

b: y-intercept

Then, the slope of the line

is m = 1/2.

Then, the derivative of the function y must be 1/2:

When x = -3, y =(-3-1)/(-3+1)= 2, then one of the tangent lines must pass through the point (-3,2).

When x = 1, y = (1-1)(1+1)= 0, then the other tangent line must pass through the point (1, 0).

Finally, the point-slope equation of a line is given by:

Substituting our previous results we have the equations of the tangent lines:

answer: 370

step-by-step explanation:

remember use pemdas! there are no parentheses or exponents so lets move onto the first part of the equation: multiplication and division. first, lets break the first part of the equation up into something easier using the distributive property. 28 * 12= (20 *12) + (8*12) you know that 20*12 is 240 and 8*12 is 96. add them and you get 336. then, lets solve the last part of the equation (the last part of pemdas is addition and subtraction). 336 plus 34 is 370. hope this !

c is the final answer! : )