Match the math terms to the definition

Definitions:

1. a quotient of two quantities

2. a quotient that involves variables

3. numbers that would result in division by zero

4. multiply the numerators and multiply the denominators for a new fraction

5. multiply by the reciprocal of the divisor

6. the denominators must be the same

7. contains a fraction in the numerator, denominator, or with the denominator

8. a new fraction resulting from the interchanging of the numerator and denominator

9. the dividend of a fraction

10. the divisor in a fraction

11. the lowest common multiple of denominators

12. a combination of integral and fractional expressions

13. an equation that contains fractions

14. a statement that two fractions are equal

Terms:

addition of fractions

numerator

complex fractions

denominator

fractional equation

multiplication of fractions

lowest common denominator

algebraic fraction

fraction

division of fractions

mixed expression

reciprocal

exclusions

proportion

they are simplified

step-by-step explanation:

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).

answer: on graphs, the open and closed circles, or vertical asymptotes drawn as dashed lines us identify discontinuities.

as before, graphs and tables allow us to estimate at best.

when working with formulas, getting zero in the denominator indicates a point of discontinuity.

when working with piecewise-defined functions, check for discontinuities at the transition points where one piece ends and the next begins.

step-by-step explanation: