Answer:
Step-by-step explanation:
sin =opposite/hypotenuse
sinQ=5/6
Answer:
Step-by-step explanation:
The line can be written as
Since the line is contained in the plane, if we take any two points of this line they will lie in the plane.
Give values for t =0 and 1
We get two points (x,y,z) as (1,3,0) and (3,2,1)
Now we have another non collinearpoint (1,1,1) (given)
The plane equation can be written using these 3 points using the determinant.
x-x1 y-y1 z-z1
x2-x1 y2-y2 z2-z1
x3-x1 y3-y1 z3-z1 =0
Substitute the values form the points.
We get
Expand the determinant as
(x-1)(-1+2)-(y-3)(2-0)+z(-4-0) =0
x-1-2y+6-4z =0
x-2y-4z+5 =0
Answer:
Step-by-step explanation:
So we have the equation:
First, let's distribute the left side of our equation:
Multiply:
Now, let's isolate the y-variable. Subtract 4y from both sides:
The right side cancels. Subtract on the left. So:
Now, subtract 5 from both sides:
The left side cancels. Subtract on the right:
Now, divide both sides by 6. So:
The left will cancel. Therefore:
And we're done!
Answer:
n = 80 / 10, or 8.
Step-by-step explanation:
Everything is on the picture.
Answer: $82,000
Step-by-step explanation:
4000 multiplied by 9 equals $36000. Add 36000 to 46000 and you get $82000.