Answer:
The answer is
Step-by-step explanation:
2.
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Answer:
( a+b) (a-b)
x^2 - 50
Step-by-step explanation:
The formula for difference of squares is
a^2 - b^2 = ( a+b) (a-b)
121x^2 -144 = (11x)^2 - 12^2 so this is the difference of squares
x^2 - 16y^2 = (x)^2 - (4y)^2 so this is the difference of squares
9x^2 -64 = (3x)^2-8^2 so this is the difference of squares
x^2 - 50 = (x)^2 - 2*(5)^2 this is not the difference of squares
Answer:
First option: ![13 \sqrt{2}](https://tex.z-dn.net/?f=13%20%5Csqrt%7B2%7D%20)
Step-by-step explanation:
![cosθ = \frac{adj}{hyp}](https://tex.z-dn.net/?f=cos%CE%B8%20%3D%20%20%5Cfrac%7Badj%7D%7Bhyp%7D%20)
![cos45° = \frac{13}{y}](https://tex.z-dn.net/?f=cos45%C2%B0%20%3D%20%20%5Cfrac%7B13%7D%7By%7D%20)
Multiply both sides by y:
![y(cos45°) = 13](https://tex.z-dn.net/?f=y%28cos45%C2%B0%29%20%3D%2013)
![y ( \frac{ \sqrt{2} }{2} ) = 13](https://tex.z-dn.net/?f=y%20%28%20%5Cfrac%7B%20%5Csqrt%7B2%7D%20%7D%7B2%7D%20%29%20%3D%2013)
![y = 13 \div \frac{ \sqrt{2} }{2}](https://tex.z-dn.net/?f=y%20%3D%2013%20%5Cdiv%20%20%5Cfrac%7B%20%5Csqrt%7B2%7D%20%7D%7B2%7D%20)
![y = 13 \times \frac{2}{ \sqrt{2} }](https://tex.z-dn.net/?f=y%20%3D%2013%20%5Ctimes%20%20%5Cfrac%7B2%7D%7B%20%5Csqrt%7B2%7D%20%7D%20)
![y = \frac{26}{ \sqrt{2} } ( \frac{ \sqrt{2} }{ \sqrt{2} } )](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B26%7D%7B%20%5Csqrt%7B2%7D%20%7D%20%28%20%5Cfrac%7B%20%5Csqrt%7B2%7D%20%7D%7B%20%5Csqrt%7B2%7D%20%7D%20%29)
![y = \frac{26 \sqrt{2} }{2}](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B26%20%5Csqrt%7B2%7D%20%7D%7B2%7D%20)
![y = 13 \sqrt{2}](https://tex.z-dn.net/?f=y%20%3D%2013%20%5Csqrt%7B2%7D%20)
The answer is 8.
57/6 = 8.