Mathematics, 03.07.2019 12:00 ybetancourt1

Consider the rational expression x2+6x−2/6x−5 . which statements are true about the rational expression? select each correct answer.

Answers: 2

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Answer from: boo050341

The last three terms are true.

Step-by-step explanation:

The last three statements are true. Yes, the numerator has 3 terms: x^2 + 6x - 2. Yes, the denominator has 2 terms: 6x - 5. Yes, that denominator is a single factor.

No, the numerator does not have three factors. It does, however, have three terms. No, 6x in the numerator does not cancel out the 6x in the denominator.

Answer from: clairajogriggsk

Correct choices are C, D and E

Step-by-step explanation:

Consider expression $\dfrac{x^2+6x-2}{6x-5}.$

Note that numerator x^2+6x-2 consists of three terms: $x^2,\ 6x,\ -2$ and the denominator 6x-5 consists of two terms: $6x,\ -5.$

A. False option.

The term in the numerator and in the denominator can be divided out, if both numerator and denominator are factored. Since is a term in numerator and denominator and is not a factor, then it cannot be divided out.

B. False option.

The numerator is quadratic trinomial. Each quadratic trinomial has at most 2 factors. Since 3>2, then the numerator cannot have three factors.

C. True option, because three terms of the numerator are $x^2,\ 6x,\ -2.$

D. True option, because two terms of the denominator are $6x,\ -5.$

E. True option. The linear polynomial is always single factor.

Answer from: Quest

Your answer should be “b” i truly hope i could ! good luck (:

Answer from: Quest

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.

$\tan\left(x\right)=\frac{\left[altitude\right]}{\left[base\right]}=\frac{p}{r}$

$\tan\left(x\right)=\frac{p}{r}$

$\frac{p}{r}=tan(x)$

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).

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