the answer is the fraction of the number of line is a whole number an integer number
If the points B , C and D all lie on the line segment AE then AE = AB + CD + DE
Answer:
175 mL
Step-by-step explanation:
(a) Convert the mass of the cat to kilograms
1 kg = 2.20 lb
Mass = 8 lb × (1 kg/2.20 lb)
= 3.64 kg
(b) Calculate the hourly volume
V = 3.64 kg × (2 mL/1 kg)
= 7.27 mL
(c) Calculate the daily volume
V = 24 h × (7.27 mL/1 h)
= 175 mL
Since this is multiple choice ...
• check if B is correct:
x = 0, y = 4, z = 1 ⇒ 3x - y + 4z = -4 + 4 = 0 ≠ -10
(it's not)
• check if C is correct:
x = -2, y = 4, z = 0
⇒ 3x - y + 4z = -6 - 4 + 0 = -10
⇒ 3x - y + 4z = 2 + 4 + 0 = 6
⇒ 3x - y + 4z = -4 - 4 + 0 = -8
While this solution does satisfy the system, it can still have infinitely many other solutions that would work.
• check if D is correct:
Eliminate one of the variables from each equation. For instance,
(3x - y + 4z) + (-x + y + 2z) = -10 + 6
2x + 6z = -4
x + 3z = -2
and
(2x - y + z) + (-x + y + 2z) = -8 + 6
x + 3z = -2
but now it's impossible to eliminate one of the variables.
Therefore there are infinitely many solutions to the system [D].