A coordinate plane. A line goes through the point (–4,–2) and has an x-intercept of –1. Which point also lies on the line? (–6,–5) (3,2) (4,5) (5,4)

Solved

Show answers

Ответ:

Calvinailove13

13.07.2021

Mathematics

$\bf \textit{simmetry identities}\\\\
sin(-\theta)=-sin(\theta)\\\\
-------------------------------\\\\
sin(-\theta)=\cfrac{1}{5}\implies -sin(\theta)=\cfrac{1}{5}\implies sin(\theta)=\cfrac{-1}{5}\cfrac{\leftarrow opposite=b}{\leftarrow hypotenuse=c}
\\\\\\
c^2=a^2+b^2\implies \pm\sqrt{c^2-b^2}=a\implies \pm\sqrt{5^2-(-1)^2}=a
\\\\\\
\pm\sqrt{24}=a\implies \pm2\sqrt{6}=a$

so. hmm which is it? the +/- ? well, neverminding for a second, the value of tangent, just looking at the sign, the tangent is positive,

tangent = opposite/adjacent.... so that only happens, when both are the same sign, + or - both

now, we know the sine is -1/5.. if the sine is negative, the cosine also has t to be negative, so we'd use the -2√(6) = a

thus $\bf cos(\theta)=\cfrac{adjacent}{hypotenuse}\implies cos(\theta)=\cfrac{-2\sqrt{6}}{5}$

0,0(0 оценок)

Ask your question to the AI advisor

Ai-bot is an expert in any field and is the perfect companion for reliable and useful answers and advice on a variety of topics, including science, history, technology, art, sports, health, culture and more.

Ask your question

More tips

Answers on questions: Mathematics

Ask an AI advisor a question

I want advice