3 years ago

Which equation has the following characteristics?

Mathematics

1 answer:

leva [86]3 years ago

5 0

Answer is B. Have a nice day.

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What is the product of 2x-5 and 3x2 + 5x - 7? Write your answer in standard form.

jasenka [17]

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3 years ago

Please help me with this problem

aev [14]

Answer: $\bold{b)\quad \dfrac{17\sqrt2}{26}}$

Step-by-step explanation:

$\text{Given }sin\ x=-\dfrac{5}{13}\quad \text{and is in Quadrant IV}\quad \implies\quad cos\ x=\dfrac{12}{13}\\\\\text{Use the cosine sum formula: }cos(A + B) = cosA\cdot cosB-sinA\cdot sinB\\\\\implies cos\bigg(x+\dfrac{\pi}{4}\bigg)=cosx\cdot cos\dfrac{\pi}{4}-sinx\cdot sin\dfrac{\pi}{4}\\\\\\=\dfrac{12}{13}\cdot\dfrac{\sqrt2}{2}-\bigg(-\dfrac{5}{13}\bigg)\cdot \dfrac{\sqrt2}{2}\\\\\\=\dfrac{12\sqrt2}{26}+\dfrac{5\sqrt2}{26}\\\\\\=\large\boxed{\dfrac{17\sqrt2}{26}}$