730.921 is equal to 730,921
The intersection point of the two lines is (2,1,0).
The respective direction vectors are
L1: <1,2,4>
L2: <4,1,15>
Since the normal vector of the required plane is perpendicular to both direction vectors, the normal vector of the plane is obtained by the cross product of L1 and L2.
i j k
1 2 4
4 1 15
=<30-4, 16-15, 1-8>
=<26, 1, -7>
We know that the plane must pass through (2,1,0), the equation of the plane is
26(x-2)+1(y-1)-7(z-0)=0
simplifying,
26x+y-7z=52+1+0=53
or
26x+y-7z=53
Check:
Put points on L1 in the plane
26(t+2)+(2t+1)-7(4t+0)=53 ok
For L2,
26(4t+2)+(t+1)-7(15t+0)=53 ok
Answer:
x=2 y=8 ---> (2;8)
Step-by-step explanation:
2x+5y=44
6x-4=y
1.
2x+5(6x-4)=44
2x+30x-20=44
32x=64
x=2
2.
6x-4=y
6*2-4=y
12-4=y
y=8
Answer:
28.108 K.
Step-by-step explanation:
Given: Pressure (P)= 1.2atm
Number of moles (n)= 2.6 moles
Volume (V)= 5.00-L
Now finding the temperature (T).
Formula; T= 
R is a constant factor which makes other factors work together.
There is a numerical value for R which we use is 
∴ Temperature (T)= 
⇒ Temperature (T)= 
∴ Temperature is 28.108 K
Answer:
A.
Step-by-step explanation:
