What is the relation between the variables in the equation a=lw? a. a varies directly as lw b. a varies jointly as lw c. a varies inversely as lw d. none of the above

Option b is correct.

The relation between the variables in the equation A=lw is;

A varies jointly as lw.

Explanation:

Variation problems states that involves a simple relationships or formulas, involving one variable being equal to one term.

Joint variation: If y varies jointly with respect to a and b,then the equation will be of the form y = kab where k is the constant.

Given the equation: A = lw.

Since, this equation would be the formula of area of rectangle with length l and width w.

If we change the width(w) of the rectangle, then the area changes(A),

Similarly, if we change the length(l) of the rectangle then the area(A) will also change.

Therefore, by the definition of Joint variation;

We can say that the area(A) of the rectangle varies jointly with the length and the width of the rectangle i.e,  A varies jointly as lw.

answer: domain and range mean all possible values of x and y that could be substituted to the inequality. a solution means all possible values that make the inequality statement true. so while the range is still all real numbers, the solution is the shaded area, for which y will always be greater than the line of the function.

b is 38 degrees.

a is 52 degrees.

this is because if b is 38 and a is 14 degrees more than b than 38+14=52 and 52+38=90 degrees. hope this .