Answer:
(6,0)
Step-by-step explanation:
The given system has equations:
![x-4y=6](https://tex.z-dn.net/?f=x-4y%3D6)
![2x+2y=12](https://tex.z-dn.net/?f=2x%2B2y%3D12)
Multiply the top equation by 2 to get:
![2x-8y=12](https://tex.z-dn.net/?f=2x-8y%3D12)
![2x+2y=12](https://tex.z-dn.net/?f=2x%2B2y%3D12)
Subtract the top equation form the bottom equation to get:
![2x-2x+2y--8y=12-12](https://tex.z-dn.net/?f=2x-2x%2B2y--8y%3D12-12)
![\implies 10y=0](https://tex.z-dn.net/?f=%5Cimplies%2010y%3D0)
![\implies y=0](https://tex.z-dn.net/?f=%5Cimplies%20y%3D0)
Put y=0 into ![x-4y=6](https://tex.z-dn.net/?f=x-4y%3D6)
![x-4*0=6](https://tex.z-dn.net/?f=x-4%2A0%3D6)
![\implies x=6](https://tex.z-dn.net/?f=%5Cimplies%20x%3D6)
Therefore the solution is (6,0)
Answer:
<h2>
B. ST = 2</h2><h2 />
Step-by-step explanation:
|<-------------- 10 --------------------->|
S-------------------T--------------------U
X-6 2X - 8
FIND: ST
SOLUTION:
ST + TU = SU
x - 6 + 2x - 8 = 10
combine like terms:
3x - x = 10 + 8 + 6
x = 24/3
x = 8
plugin the value of x= 8 into the ST = x - 6
ST = x - 6
ST = 8 - 6
ST = 2
proof:
x - 6 + 2x - 8 = 10
8 - 6 + 2(8) - 8 = 10
10 = 10 ---OK
Find 5/8 of full
find 5/8 of 64
5/8 times 64/1=320/8=160/4=80/2=40
answer is 40 gallons in the trick right now
Answer:
30 I THINK
Step-by-step explanation:
Here, Function: h(t)= -16t² + 70t + 40
So, put the value of t, (time at which you want to calculate the height)
h(1) = -16(1)² + 70(1) + 40
h(1) = -16 + 110
h(1) = 94
Now, h(2) = -16(2)² + 70(2) + 40
h(2) = -64 + 180
h(2) = 116
h(3) = -16(3)² + 70(3) + 40
h(3) = -144 + 250
h(3) = 106
In short, Your height depends on time, and at each time it would be different, can be expressed by the coordinates on a Graph: (1, 94) (2, 116) (3, 106)
Hope this helps!