Answer:
A⊥X
Since
A is perpendicular to Y
A⊥YAnd, X is parallel to Y
X || Y
That implies that A must be also perpendicular to X
A⊥X
Which means that they have the same slope (same inclination)
Step-by-step explanation:
Answer:
![x=1\frac{83}{91}\\y=-2\frac{73}{91}](https://tex.z-dn.net/?f=x%3D1%5Cfrac%7B83%7D%7B91%7D%5C%5Cy%3D-2%5Cfrac%7B73%7D%7B91%7D)
Step-by-step explanation:
#Using the method of substitution and replacement of unknown values.
Given that
![\frac{3}{2}x+\frac{2}{3}y=1...(i)\\and\\\frac{1}{6}x-\frac{3}{5}y=2...(ii)\\](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7Dx%2B%5Cfrac%7B2%7D%7B3%7Dy%3D1...%28i%29%5C%5Cand%5C%5C%5Cfrac%7B1%7D%7B6%7Dx-%5Cfrac%7B3%7D%7B5%7Dy%3D2...%28ii%29%5C%5C)
Express eqtn (ii) in terms of x
![\frac{1}{6}x=2+\frac{3}{5}y\\x=12+\frac{18}{5}y](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B6%7Dx%3D2%2B%5Cfrac%7B3%7D%7B5%7Dy%5C%5Cx%3D12%2B%5Cfrac%7B18%7D%7B5%7Dy)
Replacing for x in eqtn (i)
![\frac{3}{2}(12+\frac{18}{5}y)+\frac{2}{3}y=1\\18+\frac{27}{5}y+\frac{2}{3}y=1\\18-1=-\frac{91}{15}y\\y=-2\frac{73}{91}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D%2812%2B%5Cfrac%7B18%7D%7B5%7Dy%29%2B%5Cfrac%7B2%7D%7B3%7Dy%3D1%5C%5C18%2B%5Cfrac%7B27%7D%7B5%7Dy%2B%5Cfrac%7B2%7D%7B3%7Dy%3D1%5C%5C18-1%3D-%5Cfrac%7B91%7D%7B15%7Dy%5C%5Cy%3D-2%5Cfrac%7B73%7D%7B91%7D)
Substitute y value in eqtn(ii) to obtain x
![Y=-2\frac{73}{91}\\\frac{1}{6}x-\frac{3}{5}y=2\\x=2+\frac{3}{5}(-2\frac{73}{91})\\x=1\frac{83}{91}](https://tex.z-dn.net/?f=Y%3D-2%5Cfrac%7B73%7D%7B91%7D%5C%5C%5Cfrac%7B1%7D%7B6%7Dx-%5Cfrac%7B3%7D%7B5%7Dy%3D2%5C%5Cx%3D2%2B%5Cfrac%7B3%7D%7B5%7D%28-2%5Cfrac%7B73%7D%7B91%7D%29%5C%5Cx%3D1%5Cfrac%7B83%7D%7B91%7D)
Number of parts: 6
Fraction:5/6
2:
Number of shaded parts: 1
Number of total parts: 4
Fraction: 1/4
Answer:
Answer here
Step-by-step explanation:
Answer:
10.5
Step-by-step explanation:
v=158
l×w×h =158
l×5×3=158
l×15=158
L =158÷15=10.5