Answer:
A ) y=-1/2x+2
Step-by-step explanation:
since the equation is y=2x+4 and the points are (-2,3) and the line is perpendicular to that equation
y=-1/2x+b
enter the point (-2,3)
3=1+b
b=2
so
y=-1/2x+2
Answer:
Less than 5
Step-by-step explanation:
The eason behind the answer being less than 5 is because if you multiply something by a fraction that is less than a whole number, then you will get less than the original number you multiplied the fraction with.
Hope this helps :)
Hello,
I suppose the function is y=3√(6x+42)
==>6x+42>=0 (it must be a square root of a positive)
==>6x>=-42
==>x>=-42/6
==>x>=-7
ANSWER D
The angle between the two extreme vectors of Sofia bats is 74.60 degrees.
In this question,
The angle between two vectors will be deferred by a single point, which is called as the shortest angle at which we have to turn around one of the vectors to the position of co-directional with another vector.
The extreme vectors of Sofia bats are
and ![\vec v = < -8, 12 >](https://tex.z-dn.net/?f=%5Cvec%20v%20%3D%20%3C%20-8%2C%2012%20%3E)
The angle between the vectors is
The dot product is calculated as
![\vec u. \vec v = (-8)(13)+(12)(15)](https://tex.z-dn.net/?f=%5Cvec%20u.%20%5Cvec%20v%20%3D%20%28-8%29%2813%29%2B%2812%29%2815%29)
⇒ ![-104+180](https://tex.z-dn.net/?f=-104%2B180)
⇒ 76
The magnitude can be calculated as
![||\vec u|| = \sqrt{(-8 )^{2} +(12)^{2} }](https://tex.z-dn.net/?f=%7C%7C%5Cvec%20u%7C%7C%20%3D%20%5Csqrt%7B%28-8%20%29%5E%7B2%7D%20%2B%2812%29%5E%7B2%7D%20%7D)
⇒ ![\sqrt{64+144}](https://tex.z-dn.net/?f=%5Csqrt%7B64%2B144%7D)
⇒ ![\sqrt{208}](https://tex.z-dn.net/?f=%5Csqrt%7B208%7D)
![||\vec v|| = \sqrt{(13 )^{2} +(15)^{2} }](https://tex.z-dn.net/?f=%7C%7C%5Cvec%20v%7C%7C%20%3D%20%5Csqrt%7B%2813%20%29%5E%7B2%7D%20%2B%2815%29%5E%7B2%7D%20%7D)
⇒ ![\sqrt{169+225}](https://tex.z-dn.net/?f=%5Csqrt%7B169%2B225%7D)
⇒ ![\sqrt{394}](https://tex.z-dn.net/?f=%5Csqrt%7B394%7D)
Thus the angle between the vectors is
![\theta = cos^{-1} \frac{76}{(\sqrt{208} )(\sqrt{394} )}](https://tex.z-dn.net/?f=%5Ctheta%20%3D%20cos%5E%7B-1%7D%20%5Cfrac%7B76%7D%7B%28%5Csqrt%7B208%7D%20%29%28%5Csqrt%7B394%7D%20%29%7D)
⇒ ![\theta = cos^{-1} \frac{76}{\sqrt{81952} }](https://tex.z-dn.net/?f=%5Ctheta%20%3D%20cos%5E%7B-1%7D%20%5Cfrac%7B76%7D%7B%5Csqrt%7B81952%7D%20%7D)
⇒ ![\theta = cos^{-1} \frac{76}{286.27 }](https://tex.z-dn.net/?f=%5Ctheta%20%3D%20cos%5E%7B-1%7D%20%5Cfrac%7B76%7D%7B286.27%20%7D)
⇒ ![\theta = cos^{-1} (0.2654)](https://tex.z-dn.net/?f=%5Ctheta%20%3D%20cos%5E%7B-1%7D%20%280.2654%29)
⇒ ![\theta=74.60](https://tex.z-dn.net/?f=%5Ctheta%3D74.60)
Hence we can conclude that the angle between the two extreme vectors of Sofia bats is 74.60 degrees.
Learn more about angle between two vectors here
brainly.com/question/19726452
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