Answer:
y=
Step-by-step explanation:

multiply both sides
8y+5=6
move the constant to the right
8y=6-5
calculate
8y=1
divide both sides
y=
or y=0.125
Answer: 
<u>Step-by-step explanation:</u>
(1, 2) and (4, -3)
First, find the slope (m): 
m = 
= 
Next, choose ONE of the points and input the point and slope into the Point-Slope formula: y - y₁ = m(x - x₁)
y - 2 =
(x - 1)
y - 2 =
+ 
y =
+ 
Then, determine which inequality symbol will result in (-2, 8) being False (since it is not a solution):
y ___
+ 
8 ___
+ 
8 ___ 
8 >
so ≤ makes the statement False
⇒ y ≤
+ 
****************************************************************
If you need a "system" of inequalities, then you need another equation.
There are infinite possibilities. Graph the points to see what works.
y < 8 or x > -2 are two examples.
---> I just realized that the system can be simpler than what I did above:

For a sec, I thought this was AB Calculus with derivatives and second derivatives but it isn't! That's a good thing!
Anyhow, all the problem is asking is to plug in the values of time to find the height.
We see when time is zero, the height is 64 feet. Plug in zero for the "t" variable and you'll get 64 feet.
When the penny has dropped for half a second or 0.5 seconds, we know the "t" variable and plug in that value.
h = -16(.5)^2 + 64.
h = -16(.25) + 64.
h = -4 + 64.
h = 64 feet when the penny has dropped for half a second.
I encouraged student progression when given the knowledge to complete a problem. We know how to complete the rest of the table. Good luck!
Answer:
n=6,
SAS,
63
Step-by-step explanation:
3n+7=25
3n=25-7
3n=18
n=18/3
n=6
_______________________________
ΔDEF is congruent to ΔXYZ
DE=XY(side)
<E=<Y (angle)
EF=YZ (side)
by SAS congruence criteria ΔDEF=ΔXYZ
_________________________
(Linear pair)
180°-117°
=63
Answer=63