Answer:
see explanation
Step-by-step explanation:
Given that z varies directly with y and x then the equation relating them is
z = kxy ← k is the constant of variation
To find k use the condition x = 6, y = 12 and z = 10
k = = = = , hence
z = xy ← equation of variation
Answer:
10 squareunits
Step-by-step explanation:
have tht is a great day today with my family and my answer is no longer have to get
Let x=the cost of the sweaters.
8x+40=320.
Isolate the 8x.
320-40=280.
8x=280
280/8=35. Each sweater cost 35 D0llaz
Answer:
B = 70
Step-by-step explanation:
Supplementary angles add to 180
5x+25 + 3x+19 = 180
Combine like terms
8x+ 44 =180
Subtract 44 from each side
8x+44-44 =180-44
8x= 136
Divide by 8
8x/8 = 136/8
x = 17
We want to find B
B = 3x+19 = 3(17)+19 = 51+19 = 70
9514 1404 393
Answer:
(x, y, z) = (-3, -1, 3)
Step-by-step explanation:
Many graphing calculators can solve matrix equations handily. Here, we use a combination of methods.
Use the last equation to write an expression for z.
z = 4 -x +4y
Substitute this into the second equation:
y -4(4 -x +4y) = -13
y -16 +4x -16y = -13
4x -15y -3 = 0
In genera form, the first equation can be written as ...
3x +y +10 = 0
Now, the solution to these two equations can be found to be ...
x = (-15(10) -1(-3))/(4(1) -3(-15)) = (-150 +3)/(4+45) = -3 . . . using "Cramer's rule"
y = -(10 +3x) = -(10 -9) = -1 . . . . from the first equation
z = 4 -(-3) +4(-1) = 3 . . . . . . . . from our equation for z
The solution to the system is (x, y, z) = (-3, -1, 3).
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<em>Additional comment</em>
Written as an augmented matrix, the system of equations is ...