Answer:(x-3)=-(y-5)=z
Step-by-step explanation:
Given
the point through which line passes is (3,5,0)
so we need a vector along the line to get the equation of line
It is given that line is perpendicular to both i+j & j+k
therefore their cross product will give us the vector perpendicular to both
v=(i+j)\times (j+k)=i-j+k
therefore we get direction vector of line so we can write
=t
i.e.
x=t+3,y=-t+5,z=t
Answer:
On the blue print, the room will measure 20 by 8 feet
Step-by-step explanation:
The radius is 11. I did 7599 divied by 3.14 =2,420. 2,420 divied by 20 and got 121. then i squared that to get 11
Answer:
If θ is the smallest angle in a right triangle with side lengths of 3, 4, and 5 units, then what does sin θ equal ?
SIN(θ) = 3/5
The distance formula between two points is :
![d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%5B%5D%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
The distance between vertices A(1, 4) and B(3, 6) is :
![\begin{gathered} d=\sqrt[]{(3-1)^2+(6-4)^2} \\ d=\sqrt[]{2^2+2^2} \\ d=\sqrt[]{4+4} \\ d=\sqrt[]{8} \\ d=2\sqrt[]{2} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20d%3D%5Csqrt%5B%5D%7B%283-1%29%5E2%2B%286-4%29%5E2%7D%20%5C%5C%20d%3D%5Csqrt%5B%5D%7B2%5E2%2B2%5E2%7D%20%5C%5C%20d%3D%5Csqrt%5B%5D%7B4%2B4%7D%20%5C%5C%20d%3D%5Csqrt%5B%5D%7B8%7D%20%5C%5C%20d%3D2%5Csqrt%5B%5D%7B2%7D%20%5Cend%7Bgathered%7D)
The distance between the vertices B(3, 6) and C(6, 3) is :
![\begin{gathered} d=\sqrt[]{(3-6)^2+(6-3)^2} \\ d=\sqrt[]{(-3)^2+(3)^2} \\ d=\sqrt[]{9+9} \\ d=\sqrt[]{18} \\ d=3\sqrt[]{2} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20d%3D%5Csqrt%5B%5D%7B%283-6%29%5E2%2B%286-3%29%5E2%7D%20%5C%5C%20d%3D%5Csqrt%5B%5D%7B%28-3%29%5E2%2B%283%29%5E2%7D%20%5C%5C%20d%3D%5Csqrt%5B%5D%7B9%2B9%7D%20%5C%5C%20d%3D%5Csqrt%5B%5D%7B18%7D%20%5C%5C%20d%3D3%5Csqrt%5B%5D%7B2%7D%20%5Cend%7Bgathered%7D)
The area formula of a rectangle is length x width or AB x BC
The area will be :
![\begin{gathered} A=2\sqrt[]{2}\times3\sqrt[]{2} \\ A=6\sqrt[]{4} \\ A=6(2) \\ A=12 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20A%3D2%5Csqrt%5B%5D%7B2%7D%5Ctimes3%5Csqrt%5B%5D%7B2%7D%20%5C%5C%20A%3D6%5Csqrt%5B%5D%7B4%7D%20%5C%5C%20A%3D6%282%29%20%5C%5C%20A%3D12%20%5Cend%7Bgathered%7D)
The answer is A. 12 square units