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Answer:
y=-1/2x-5
Step-by-step explanation:
First we need to put (y-3)=2(x-4) in slope intercept form.
we need to do order of operations....
so we need to first do the parenthesis
x*2= 2x
2*-4= -8
y-3=2x-8
add 3 on both sides to isolate y
y= 2x-5
so now we know the y=mx+b form
this is one line...
now we need to find out what line is perpendicular.
Perpendicular lines have opposite reciprocals slopes.
y=-1/2x-5
Answer:
4 and 6
Step-by-step explanation:
10 and 8 leave a remainder so can't be equal number of booklet
Answer:
Step-by-step explanation:
We have the equations
4x + 3y = 18 where x = the side of the square and y = the side of the triangle
For the areas:
A = x^2 + √3y/2* y/2
A = x^2 + √3y^2/4
From the first equation x = (18 - 3y)/4
So substituting in the area equation:
A = [ (18 - 3y)/4]^2 + √3y^2/4
A = (18 - 3y)^2 / 16 + √3y^2/4
Now for maximum / minimum area the derivative = 0 so we have
A' = 1/16 * 2(18 - 3y) * -3 + 1/4 * 2√3 y = 0
-3/8 (18 - 3y) + √3 y /2 = 0
-27/4 + 9y/8 + √3y /2 = 0
-54 + 9y + 4√3y = 0
y = 54 / 15.93
= 3.39 metres
So x = (18-3(3.39) / 4 = 1.96.
This is a minimum value for x.
So the total length of wire the square for minimum total area is 4 * 1.96
= 7.84 m
There is no maximum area as the equation for the total area is a quadratic with a positive leading coefficient.
Electron transfer theory describes the parameters which control the rate at which an electron is transferred from one atom or molecule to another.
<h3>
What was the basic principle of Marcus theory?</h3>
- In theoretical chemistry, Marcus theory is a theory originally developed by Rudolph A. Marcus, starting in 1956, to explain the rates of electron transfer reactions – the rate at which an electron can move or jump from one chemical species.
- Marcus' method (also referred to as Marcus's method and Method of Marcus) is a structural analysis method which was designed to design concrete slabs with rectangular, orthogonal shapes. It represents an adaptation of the strip method.
- Marcus Hush theory (M-H theory) was developed in 1956 by Rudolph A. Marcus which explains the fundamentals of the redox/ electron transfer reactions in terms of the rate of jumping/moving an electron from oxidant species (electron donor) to the reductant (electron acceptor).
- The "Marcus Inverted Region" (MIR) is that part of the function of rate constant versus free energy where a chemical reaction becomes slower as it becomes more exothermic.
We want to see how we can model the difference: -8 - 3 + 3
The correct option is D:
"add 3 positive counters and 3 negative counters"
We know that Marcus starts with 8 negative counters, corresponding to the first term in our difference.
Now, let's study the math of our expression.
-8 - 3 + 3
Remember that we can perform the operation in any order we want, so we can write this as:
-8 + (-3 + 3)
Notice that the thing inside the parentheses is equal to zero, so we have:
- 8 + (-3 + 3) = -8
So to not change the value, we add 3 and we subtract 3.
Now if we have 8 negative counters, and we want to add 3 positive counters and not change the value, then we also need to add 3 negative counters to "cancel" the 3 positive counters we added.
Then the correct option is D.
To learn more about Marcus refer to,
brainly.com/question/23140234
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