Answer:
hola
Step-by-step explanation:
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Hey there!
To find the equation of a line, we first have to determine its slope knowing that parallel lines have the same slope.
Let the line that we are trying to determine its equation be
and the line that is parallel to
be
.
passes through the points (9 , 2) and (3 , -5) which means that we can find its slope using the slope formula:
⇒Subtitute the values :

.
Assuming that we want to get the equation in Slope-Intercept Form, let's substitute m = 7/6:
Slope-Intercept Form:
We know that the coordinates of the point (0 , -3) verify the equation since it is on the line
. Now, replace y with -3 and x with 0:

Therefore, the equation of the line
is 
▪️Learn more about finding the equation of a line that is parallel to another one here:
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Answer: The initial volume is 593.76mL
Step-by-step explanation:
As you do not say anithing about the pressure, i guess that the pressure remains constant.
If the gas is an ideal gas, we have:
P*V = n*R*T
where P is pressure, n is number of moles and R is a constant.
Now, initially we have:
P*Vi = n*R*315°C
finally we have:
P*825mL = n*R*452°C
Now we can take the quiotient of those two equations and get:
(P*Vi)/(P*852mL) = (n*R*315°C)/( n*R*452°C)
Now we have:
Vi/852mL = 315/452
Vi = (315/452)*852mL = 593.76mL
So when we expand the gas at constant pressure, we increase the temperature.
Answer:
Part 1) 
Part 2) 
Part 3) 
Step-by-step explanation:
<u><em>The complete question is</em></u>
Consider this right triangle. 21 29 20 Write the ratio equivalent to: Sin B - CscA- Cot B
The picture of the question in the attached figure
Part 1) Write the ratio equivalent to: Sin B
we know that
In the right triangle ABC
----> by SOH (opposite side divided by the hypotenuse)
substitute the values

Part 2) Write the ratio equivalent to: Csc A
we know that
In the right triangle ABC

-----> by SOH (opposite side divided by the hypotenuse)
substitute the values

therefore

Part 3) Write the ratio equivalent to: Cot A
we know that
In the right triangle ABC

-----> by TOA (opposite side divided by the adjacent side)
substitute the values

therefore

Answer:
The balance after the payment is $1263.84.
Step-by-step explanation:
The formula for amount after compound interest is

Where, P is principal, r is rate of interest, n is number of time interest compounded in a period, number of periods.
According to the given information,
P=1455.69
r=0.128
n=365
t=45
Put these values in the above formula,


The amount after compound interest is $1478.84. Add late fee chages $35 in this amount and subtract the payment of $250. So, the balance amount after payment is

Therefore the balance after the payment is $1263.84.