Answer:
b)0, yes
Step-by-step explanation:
Given:
Vectors (4,8) . (6,-3)
Finding inner product of vectors:
= 4x6 + 8x-3
=24-24
=0
Now to check the angle between them using formula a.b=|a|.|b|cosθ
|a|= ![\sqrt{4^{2} +8^{2} } \\\sqrt{16+64}](https://tex.z-dn.net/?f=%5Csqrt%7B4%5E%7B2%7D%20%2B8%5E%7B2%7D%20%7D%20%5C%5C%5Csqrt%7B16%2B64%7D)
=8.9
|b|=![\sqrt{6^{2} +(-3)^{2} } \\\sqrt{36+9}](https://tex.z-dn.net/?f=%5Csqrt%7B6%5E%7B2%7D%20%2B%28-3%29%5E%7B2%7D%20%7D%20%5C%5C%5Csqrt%7B36%2B9%7D)
=6.7
Putting values of a.b=0 and |a|=8.9, |b|=6.7 in a.b=|a|.|b|cosθ we get,
0= 8.9(6.7)cosθ
cosθ =0
θ=90 degrees
Hence the two vectors are perpendicular !
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Answer:
![x=-\frac{68}{9}](https://tex.z-dn.net/?f=x%3D-%5Cfrac%7B68%7D%7B9%7D)
Step-by-step explanation:
![\frac{9}{14}=\frac{8}{x+20}\\](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B14%7D%3D%5Cfrac%7B8%7D%7Bx%2B20%7D%5C%5C)
![9(x+20)=8*14\\9x+180=112\\9x=-68\\x=-\frac{68}{9}\\](https://tex.z-dn.net/?f=9%28x%2B20%29%3D8%2A14%5C%5C9x%2B180%3D112%5C%5C9x%3D-68%5C%5Cx%3D-%5Cfrac%7B68%7D%7B9%7D%5C%5C)
Just download the app photomath it helps a lot with equations plus it shows u how to do them
(7c-18)-2c>0
group like terms: 7c-2c-18>0
add similar elements: 7c-2c=5c
5c-18+18>0+18
Add 18 to both sides
5c-18+18>0+18
simplify
5c>18
divide both sides by 5
5c÷5>18/5
simplify
c>18/5