Solve for me please this is trigonometry

Mathematics

1 answer:

Vladimir79 [104]2 years ago

3 0

Answer:

$x= 23.4$

Step-by-step explanation:

In a right triangle the tangent of an angle is the ratio of the opposite length over the adjacent*. In formulas, $tan 54° = x/17$ Solving for x, using a calculator for the tangent, $x= 23.4$

*I promise I didn't just spellcheck that.

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How would I solve this Rational Equation? Solve for all values of x.

Nesterboy [21]

9514 1404 393

Answer:

x = 4

Step-by-step explanation:

I like to put these in the form f(x) = 0. We can do that by subtracting the right side. Common factors can be cancelled from numerator and denominator, provided they are not zero.

$\dfrac{7}{x+3}+\dfrac{3}{x-3}-\dfrac{x}{x-3}=0\\\\ \dfrac{7(x-3)+(x+3)(3-x)}{(x+3)(x-3)}=0\\\\\dfrac{(x-3)(4-x)}{(x-3)(x+3)}=0\\\\ \dfrac{4-x}{x+3}=0\qquad x\ne3\\\\x=4 \qquad\text{equate the numerator to zero, add $x$}$

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If you leave the numerator as (x-3)(4-x), then there are two values of x that make it zero. Because x=3 makes the equation "undefined", it cannot be considered to be a solution.