Answer:
x = -1
y = -2
Step-by-step explanation:
To get y by itself:
3x - y = -1
-y = -1 - 3x
y = 1 + 3x
Solve for x with substitution:
2x = 4(1 + 3x) + 6
2x = 4 + 12x + 6
2x = 10 + 12x
-10x = 10
x = -1
Plug the x value into 3x - y = -1
3(-1) - y = -1
-3 - y = -1
-y = 2
y = -2
Answer:
576 cm^3
Step-by-step explanation:
Express this volume formula as V = π r^2 h, where the " ^ " symbol indicates exponentiation. Substitute 4 for r (this is half the diameter), 12 cm for h, and 3 for π: V = 3*(4)^2*12 cm^3, or V = 576 cm^3.
Answer: C
Explanation:
. there are multiple sockets that can be interchanged easily to accommodate many different size nuts and bolts
9514 1404 393
Answer:
A) 5x+12 = -12x-12
D) 5x+12 = -5x-12
Step-by-step explanation:
If you subtract the right side expression from both sides, you will get an equation with something equal to zero. If the 'something' has a variable in it, there is exactly one solution.
A: (5x+12) -(-12x-12) = 17x+24 = 0 . . . one solution
B: (5x+12) -(5x-5) = 17 = 0 . . . . no solutions
C: (5x+12)-(5x+12) = 0 = 0 . . . . infinite solutions
D: (5x+12) -(-5x-12) = 10x +24 = 0 . . . one solution
Answer:
X=75
Y=110
Step-by-step explanation:
A straight line is 180, so add the equations that make a line and set them equal to 180
x+20+x+10=180
Combine like terms
2x+30=180
Subtract 30 from both sides
2x=150
Divide by 2
X=75
Same for y
y+y-40=180
2y-40=180
Add 40 to both sides
2y=220
Divide by 2
Y=110
