Answer:
Note that orthogonal to the plane means perpendicular to the plane.
Step-by-step explanation:
-1x+3y-3z=1 can also be written as -1x+3y-3z=0
The direction vector of the plane -1x+3y-3z-1=0 is (-1,3,-3).
Let us find a point on this line for which the vector from this point to (0,0,5) is perpendicular to the given line. The point is x-0,y-0 and z-0 respectively
Therefore, the vector equation is given as:
-1(x-0) + 3(y-0) + -3(z-5) = 0
-x + 3y + (-3z+15) = 0
-x + 3y -3z + 15 = 0
Multiply through by - to get a positive x coordinate to give
x - 3y + 3z - 15 = 0
Answer:
no cap -check ur test thingy i got the answer from yahoo asks its x^2+6x+5
Step-by-step explanation:
Answer:
7x-5 in
Step-by-step explanation:
(8x + 2)+(5x+12)+(8x + 2)+?=28x+11
8x+2+5x+12+8x+2+?=28x+11
8x+5x+8x+2+12+2+?=28x+11
13x+8x+16+?=28x+11
21x+16+?=28x+11
21x-21x+16+?=28x-21x+11
16+?=7x+11
16-16+?=7x+11-16
?=7x-5 in
Is it a mixed number or a improper fraction?
We'll use the formula for the classical probability as follows.
P(A) = Number of outcomes favorable for A / Total number of possible outcomes
In this case, two socks are randomly drawn from a set of 6+10 = 16 socks. So the total number of possible outcomes = 16C2 = 120.
The two stocks match each other if they are both blue or grey. So the number of favorable outcomes is 6C2 + 10C2 = 15 + 45 = 60.
Hence the probability that the two stocks match is

.