Answer:
7.39
Step-by-step explanation:
Answer:
It can't be simplified or added together because one is multiplied by x and the other is not
Step-by-step explanation:
Answer:
Ф = 19.80 °
Step-by-step explanation:
by using pythagoras theorem
h² = p² + b²
13² = 5² + b ²
b = √194
b = 13.93
now
tanФ = p/b
Ф = tan¬1( 5 / 13.93)
Ф = 19.80 °
b×h=a
this is how to represent it and it is a direct variation.
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
