Answer:
y = 1/2x+5
Step-by-step explanation:
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:
44
Step-by-step explanation:
0.5 m - 0.75 n = 16
Substitute n = 8 into the equation
0.5 m - ( 0.75 × 8 ) = 16
0.5 m - 6 = 16
( Add 6 to both sides )
0.5 m = 26
( Divide by 0.5 )
m = 52
Answer:
piontttttsssssssss
Step-by-step explanation:
Answer:
120 ways
Step-by-step explanation:
This can be solved through analytical combination.
First, select the president; this implies selecting one person out of five people, which is in 5 ways.
Secondly, select the vice president, this implies selecting one person out of four people, since one position has been taken by the president already leaving only four people which is in 4 ways
Thirdly, select the secretary, this implies selecting one person out of three remaining people, which is in 3 ways
Lastly, select the treasurer, this implies selecting one person out of two remaining people, which is in 2 ways
Therefore, ways by which a president, vice president, secretary, and treasurer can be elected is
5 x 4 x 3 x 2 = 120 ways
