Answer:
Step-by-step explanation:
Given points P(1, -1, 4), Q (4,2,1) vector equation of a line joining the points with position vectors r₀ and r₁ is:
r = (1 - t)r₀ + tr₁
where
t ∈ [0, 1]
and r₀ = P = (1, -1, 4)
r₁ = Q = (4, 2, 1)
r(t) = (1 - t) 
+ t
∴
The vector equation where t ∈ [0,1] is:
r(t) = (1+3t)i - (1+3t)j + (4 - 3t)k
The parametric equation is:
x(t) = 1 + 3t
y(t) = -1 + 3t
z(t) = 4 - 3t
(x(t), y(t), z(t) ) = ( 1 + 3t, -1 + 3t, 4 - 3t )
Answer:
Step-by-step explanation:
The marks on both sides of the triangle shows that the sides are equal. This means that the triangle is an isosceles triangle.
This means that
x = 4
Also, in an isosceles triangle, the base angles are equal. Therefore, the sum of the base angles would be 2y.
The sum of angles in a triangle is 180 degrees. Therefore,
2y + 50 = 180
Subtracting 50 from both sides of the equation, it becomes
2y + 50 - 50 = 180 - 50 = 130
2y = 130
y = 130/2 = 65 degrees.
Answer:
45.56923076923077
Step-by-step explanation:
Work out 51.6 x 12 which is 619.2 and subtract that from 1804.80 then x your answer which is 1,184.8 and divide by 26 to get your answer which is 45.569....
Water was pumped out in t-hours.
Time t would be the domain, 0 to t.
It would be 75 centimeters
