Answer:
8
Step-by-step explanation:
Ok so,
Simplifying
4x + 4y + 4z + 4 = 0
Reorder the terms:
4 + 4x + 4y + 4z = 0
Solving
4 + 4x + 4y + 4z = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4' to each side of the equation.
4 + 4x + 4y + -4 + 4z = 0 + -4
Reorder the terms:
4 + -4 + 4x + 4y + 4z = 0 + -4
Combine like terms: 4 + -4 = 0
0 + 4x + 4y + 4z = 0 + -4
4x + 4y + 4z = 0 + -4
Combine like terms: 0 + -4 = -4
4x + 4y + 4z = -4
Add '-4y' to each side of the equation.
4x + 4y + -4y + 4z = -4 + -4y
Combine like terms: 4y + -4y = 0
4x + 0 + 4z = -4 + -4y
4x + 4z = -4 + -4y
Add '-4z' to each side of the equation.
4x + 4z + -4z = -4 + -4y + -4z
Combine like terms: 4z + -4z = 0
4x + 0 = -4 + -4y + -4z
4x = -4 + -4y + -4z
Divide each side by '4'.
x = -1 + -1y + -1z
Simplifying
x = -1 + -1y + -1z
The given lines are
x = 1 + t
y = 2t
z = -3t
The plane is x + y - z = 3
If the lines intersect the plane at a point p, then the lines should satisfy the equation of the plane.
That is,
(1 + t) + (2t) - (-3t) = 3
1 + t + 2t + 3t = 3
1 + 6t = 3
6t = 2
t = 1/3
Therefore the coordinates of the point p are
x = 1 + 1/3 = 4/3
y = 2(1/3) = 2/3
z = -3(1/3) = -1
That is p (4/3, 2/3, -1)
Answer: The point p has coordinates (4/3, 2/3, -1)
Speed (v) = distance (d) / time (t)
so either the second or third. if this is realistic deer can't run 100 miles per hour so is say the second initially but to check what is .25miles/25s convert to hours. (3600 seconds in an hour) so .25*3600=900 then 900miles/25hour= 36miles/ hour.
