Answer:
the value of 2 in 0.812 is 2 thousandths/0.002
0.002 = 2/1000
0.812 = 812/1000
Answer:
Option 3:
elimination using multiplication (3,-1)
Step-by-step explanation:
The system of equations to be solved are
-5x+3y=-18.......eqn (1)
2x+2y=4. .......eqn (2)
We first multiply eqn(1) by 2 and eqn(2) by 5 to get eqn(3) and eqn(4) respectively.
This implies
-10x+6y=-36.......eqn (3)
10x+10y= 20.......eqn (4)
we then add eqn(3) and eqn(4) to obtain
16y=-16
We divide through by 16
![\implies \frac{16y}{16}= \frac{16}{16}](https://tex.z-dn.net/?f=%20%5Cimplies%20%5Cfrac%7B16y%7D%7B16%7D%3D%20%20%5Cfrac%7B16%7D%7B16%7D%20%20)
![\implies y = - 1](https://tex.z-dn.net/?f=%5Cimplies%20y%20%3D%20%20-%201)
Putting the value of y into eqn(2)
![\implies 2x + 2( -1 ) = 4](https://tex.z-dn.net/?f=%20%5Cimplies%202x%20%2B%202%28%20-1%20%29%20%3D%204)
![\implies 2x - 2= 4](https://tex.z-dn.net/?f=%5Cimplies%202x%20-%202%3D%204)
Adding 2to both sides
![\implies 2x - 2+ 2 = 4 + 2](https://tex.z-dn.net/?f=%5Cimplies%202x%20%20-%202%2B%202%20%3D%204%20%2B%202)
![\implies 2x= 6](https://tex.z-dn.net/?f=%5Cimplies%202x%3D%206)
Dividing through by 2
![\implies \frac{2x}{2} = \frac{6}{2}](https://tex.z-dn.net/?f=%5Cimplies%20%20%5Cfrac%7B2x%7D%7B2%7D%20%3D%20%20%5Cfrac%7B6%7D%7B2%7D%20)
![\implies x = 3](https://tex.z-dn.net/?f=%5Cimplies%20x%20%3D%203)
Hence, (x, y)=(3,-1)
Step-by-step explanation:
Use the height equation:
y = ½ a t² + v t + h
where y is the height at time t,
a is the acceleration due to gravity,
v is the initial velocity,
and h is the initial height.
Here, a = -16, v = 0, and h = 90.
y = -8t² + 90
When the egg lands, y = 0.
0 = -8t² + 90
8t² = 90
t² = 45/4
t = 3.35
It takes approximately 3.35 seconds for the egg to land.
Answer:
1
Step-by-step explanation:
y-y1=m(x-x1)
y1= y-coordinate of a point
(-2,1)
the y-coordinate is 1