 ### For the equation, write the value or values of the variable that make a denominator zero. These are the restrictions on the variable. Keeping the restrictions in mind, solve the equation.

(dfrac{4}{x+5}+dfrac{2}{x-5}=dfrac{32}{x^2-25}) This question aims to find the solution to the given equation by taking into consideration the restrictions on the given function. Read moreFind the parametric equation of the line through a parallel to b.The fraction of two polynomials is said to be a rational expression. Such expression can be expressed as $dfrac{a}{b}$ in which […]

### A man 6 feet tall walks at a rate of 5 feet per second away from a light that is 15 feet above the ground.

When he is $10$ feet from the base of the light, at what rate is the tip of his shadow moving? When he is $10$ feet from the base of the light, at what rate is the length of his shadow changing? The purpose of this question is to find the rate of change of […]

### Find the parametric equation of the line through a parallel to b.

(a=begin{bmatrix}3\-4end{bmatrix}, b=begin{bmatrix}-7\8end{bmatrix}) This question aims to find the parametric equation of the line through two given vectors. A parametric equation is an equation that incorporates a parameter that is an independent variable. In this equation, the dependent variables are the continuous functions of the parameter.  Two or more parameters can also be used if needed. […]