The fewest number of expressions is 3.
Answer:
Step-by-step explanation:
The given system of equations is expressed as
3x + y = 9 - - - - - - - - - - - - - - -1
3x = 9 - y - - - - - - - - - - - - - -2
To apply the method of elimination, we would rearrange equation 2 so that it would take the form of equation 1. Therefore, we would add y to the left hand side and the right hand side of the equation, it becomes
3x + y = 9 - - - - - - - - - - - - - - - - -3
Subtracting equation 3 from equation 1, it becomes
0 = 0
The equations have infinitely many solutions because if we input any values of x and y that satisfies the first equation, those values will also satisfy the second equation.
Answer: 
Step-by-step explanation:
As X is an acute angle, all 6 trigonometric functions with an argument of X are positive.
Using the identity 
,
5(k+4)-2k
Multiply the k and the 4 by 5
Now you have 5k+20-2k
Minus 2k from 5k
Now you have 3k+ 20 that’s the answer
2(3+d-1)
Multiply 3, d, and 1 by 2
Now you have 6+2d-2
Minus 2 from 6
Now you have 4+2d that’s the answe
Answer: a) The figure can be reasonably divided into two geometries:
• a rectangular prism
• a hemisphere.
b) The volume of the rectangular prism is given by
V = lwh
V = (10 cm)(5 cm)(4 cm) = 200 cm³
The volume of the hemisphere is given by
V = (2π/3)r³
V = (2π/3)(3 cm)³ = 18π cm³
c) The total volume of the figure is
total volume = (prism volume) + (hemisphere volume)
V = 200 cm³ + 18π cm³
V ≈ 256.549 cm³
Step-by-step explanation:
