Find an equation of the plane that passes through the points p, q, and r. p(7, 2, 1), q(6, 3, 0), r(0, 0, 0)
Alona [7]
Answer:
x - 2y - 3z = 0
Step-by-step explanation:
The cross product of vectors rp and rq will give a vector that is normal to the plane:
... rp × rq = (-3, 6, 9)
Dividing this by -3 (to reduce it and make the x-coefficient positive) gives a normal vector to the plane of (1, -2, -3). Usint point r as a point on the plane, we find the constant in the formula to be zero. Hence, your equation can be written ...
... x -2y -3z = 0
Answer:
The measure of Q is 116
Step-by-step explanation:
For a Rhombus, opposite angles are equal
so angle R is 64 too
Now, we should understand that the diagonals bisect the angles
So the angles in the triangle QTR are
Q + 32 + 32 = 180
Q = 180-64
Q = 116 degrees
(x4−3x3+4x2−8)/(x+1) = x3−4x2<span>+8x−8.</span>
The volume of the tank is (70 cm)³ = 343,000 cm³.
Now,
1 mL = 1 cm³
1 L = 1000 mL
so we convert the given rate to
Then the time it will take to fill up the tank is
