Esmerelda simplified a complex fraction. her work is shown below. what errors did esmerelda make? check all that apply. esmerelda converted the mixed number to the wrong improper fraction. esmerelda added the numerators. esmerelda added the denominators. esmerelda did not divide –24 by 6 correctly. esmerelda did not use the reciprocal of the divisor.

Esmerelda did not use the reciprocal of the divisor.

Step-by-step explanation:

A complex fraction is another way to show division of two fractions.  In this case, we are dividing -5 1/4 by 3/2.

We first convert -5 1/4 to an improper fraction.  To do this, multiply the whole number by the denominator; this gives us -5(4) = -20.  Then add the -1 (negative since the fraction is negative); this gives us -21/4.

This means we are dividing -21/4 by 3/2.

To divide fractions, we multiply by the reciprocal; this means we flip the second fraction and multiply.  We would then multiply -21/4 by 2/3.  This is the step Esmerelda did not do.

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17