Answer:
, 9.9 ounces of water remaining.
Step-by-step explanation:
<u>Given:</u>
Dylan drank 5.2 ounces of water before soccer practice, and 12.9 ounces after practice.
Before he drank any water, there were 28 ounces of water in the container.
<u>Question asked:</u>
Which expression can be used to find the amount of water remaining?
<u>Solution:</u>
Let 
the amount of water remaining.
Total quantity of water in the container = 28 ounces
Before practice, Dylan drank = 5.2 ounces
After practice, Dylan drank = 12.9 ounces
Remaining amount of water = Total quantity of water in the container - Amount of water is drunk before practice - Amount of water is drunk before practice
Thus, 9.9 ounces of water remaining in the container.
If you would like to find the volume here:
L•W•H
Big Rectangular: 10•14•6
Small Rectangular: 1•2•3
Surface Area:
2(L•W) + 2(L•H) + 2(W•H)
Big Rectangular: 2(10•14) + 2(10•6) + 2(14•6)
Small Rectangular: 2(1•2) + 2(1•3) + 2(2•3)
If we consider "a" as the edge length, and "D" the cube's diagonal, we have that the square cube's diagonal is equal to the edge length's square plus the side diagonal (d) square (Pythagoras theorem)
a² + d² = D²
And since:
d² = a² + a²
Clearing a, we have:
a² = D²-d²
<span>a² = D²-2a²
</span><span>3a² = D²
</span>
a = √(<span>
D²/3)</span>
Surface area is equal to 6·a², so the surface area will be 6·(D²/3) =
2D²The volume is a³, so the volume will be √(D²/3)³ = √
(
<span>/3</span>³<span>) =
D</span>
³/√27
Answer:
y = -1/3x + 6
Step-by-step explanation:
First, change the original equation to slope intercept form:
y + 4 = 3x
y = 3x - 4
Now, find the slope of the perpendicular line. It will be the opposite reciprocal:
The opposite reciprocal of 3 is -1/3.
Next, plug this into the slope intercept equation along with the given point, so we can solve for b:
y = mx + b
6 = -1/3(2) + b
6 = -2/3 + b
6.67 = b
So, the equation will be y = -1/3x + 6
