Answer:
c (2,3,-2)
Step-by-step explanation:
3x+y+z = 7
x+3y-z =13
y = 2x-1
Add the first two equations together to eliminate z
3x+y+z = 7
x+3y-z =13
----------------------
4x+4y = 20
Divide by 4
4x/4 + 4y/4 = 20/4
x+y = 5
We know y = 2x-1. substitute this into the equation
x+ (2x-1) = 5
Combine like terms
3x-1 =5
Add 1 to each side
3x-1+1 =5+1
3x=6
Divide by 3
3x/3 = 6/3
x=2
Now we can find y
y = 2x-1
y = 2(2)-1
y =4-1
y= 3
We know x and y, now we need to find z
3x+y+z = 7
3(2) +3 +z = 7
6+3+z =7
9+z=7
Subtract 9 from each side
(-9+z =7-9
z=-2
So x=2,y=3 =-2
(2,3,-2)
The answer is 46,000 years.
It can be calculated using the equation:
= decimal amount remaining, where n is a number of half-lives.
Decimal amount remaining is 0.00362 (= 0.362%). Let's calculate number of half-lives.
⇒
⇒
⇒ n ≈ 8
Now we know that number of half-lives is 8.
Number of half-lives is quotient of total time elapsed and length of half-life.
So, total time elapsed is a product of length of half-life (5,730 years) and number of half-lives (8). Since 5,730 years × 8 = 45,840 years, then the person died 46,000 years ago (rounded to the nearest thousand).
In geometry, the segment addition postulate states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.
I Think The answer is d I hope it helps Message Me if I’m wrong and I’ll change My answer and fix it for you
Answer:
1) x=6, y=-6 which is (6,-6) as an ordered pair
3) x=10, y=-1 which is (10,-1) as an ordered pair
Step-by-step explanation:
Question 1:
<u>Solve them like an addition problem:</u>
-4x-2y=-12
4x+8y=-24
________
(-4x+4x)+(-2y+8y)=(-12+-24)
0x+6y=-36
6y=-36
y=-6
<u>Plug value of y into one of the original equations:</u>
4x+8(-6)=-24
4x-48=-24
4x=24
x=6
Question 3:
<u>Solve them like an addition problem:</u>
x-y=11
2x+y=19
_______
(x+2x)+(-y+y)=11+19
3x+0y=30
3x=30
x=10
<u>Plug value of x into one of the original equations:</u>
10-y=11
-y=1
y=-1