Answer:
(5,2,2)
Step-by-step explanation:
-3x+4y+2z = -3
2x-4y-z=0
y = 3x-13
Multiply the second equation by 2
2*(2x-4y-z)=0*2
4x -8y -2z =0
Add this to the first equation to eliminate z
-3x+4y+2z = -3
4x -8y -2z =0
-------------------------
x -4y = -3
Take the third equation and substitute it in for y
x - 4(3x-13) = -3
Distribute the 4
x - 12x +52 = -3
Combine like terms
-11x +52 = -3
Subtract 52 from each side
-11x +52-52 = -3-52
-11x = -55
Divide by -11
-11x/-11 = -55/-11
x=5
Now we can solve for y
y =3x-13
y =3*5 -13
y = 15-13
y=2
Now we need to find z
2x-4y-z=0
2(5) -4(2) -z=0
10-8 -z=0
2-z=0
Add z to each side
2-z+z= 0+z
2=z
x=5, y=2, z=2
(5,2,2)
If 100 cats killed 100 mice in 100 days, you can say that each cat killed one mouse the day after the last cat. So, if four cats killed four mice, and we're going of off the same basis that each cat killed one mouse the day after the last cat, then the answer would be 4.
What is NOT true about the solution is that it can have different values
Answer:
y=x+12
Step-by-step explanation:
Well the slope is -4/-4 =1
We plug it into the formula, y=mx+b, but m=1
So it is y=1x+b
We know the points, so we plug y and x in which is:
-4=-4*4+b
-4=-16+b
b=12
So the point slope form of that is y=x+12
Answer
Find the volume of the coin is cubic millimeters.
To prove
Formula
Where r is the radius and h is the height .
As given
The $1 coin depicts Sacagawea and her infant son.
The diameter of the coin is 26.5 mm, and the thickness is 2.00 mm.
Radius = 13.25 mm
Put in the formula
Volume of coin = 3.14 × 13.25 × 13.25 × 2.00
= 1102.53 mm³ (approx)
Therefore the volume of the coin is 1102.53 mm³ .
