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:
y= 143°
x= 37°
Step-by-step explanation:
y is 143° cause they are the same thing just on the other side.
x us 37°cause 180-143 is 37.
Answer:
15x2+10x-9x+7
8x3+20x2+3x+12
11x4+4x2-6x2-16
Step-by-step explanation:
The equation that matches the given situation is
. So, after two moves, Eric's elevation changed
meters above.
We know that in mathematics, subtraction means removing something from a group or a number of things. What is left in the group gets smaller when we subtract. The minuend is the first element we use. The subtrahend is the part that is being removed. The difference is the portion that remains after subtraction.
Assume that "negative" means climbing down and "positive" means climbing up. We must locate the elevation change in this area.
Given that Eric climbed straight down
meters. So we can write
.
Again Eric climbed straight up
meters. So, we can write
.
Then the change = 
=
=
=
=
=
=
=
Therefore, the equation that matches the given situation is
. So, after two moves, Eric's elevation changed
meters above.
Learn more about subtraction here -
brainly.com/question/24116578
#SPJ10
Step-by-step explanation:
first pick has probability

second pick has probability

combined probability is
