A. PT and TQ are equal since they are both bisected by T. So, set them equal to each other you get the equation:
5x+3 =48
5x=45
x=9
Answer:
Step-by-step explanation:
We have the quadratic equation 
i.e. 
As, the roots of the quadratic equation 
are given by 
.
So, from the given equation, we have,
a = 1, b = -36 , c = -324.
Substituting the values in , we get,
i.e. 
i.e. 
i.e. 
i.e. 
and 
i.e. 
and 
i.e. x = 43.45 and x = -7.45
Thus, the roots of the equation are 43.45 and -7.45.
Hence, the factored form of the given expression will be
To find 15% of 23000,
23000 x (15/100) = 23000 x 0.15 = 3450
So her salary for the month would be $3450.
Answer: The solution is (3, -2)
This means that x = 3 and y = -2 pair up together.
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Explanation:
The solution is where the two lines cross. Note if we started at the origin (0,0) and moved to the right 3 units, and then down 2 units, we would arrive at the location (3, -2).
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As a way to check, we can plug x = 3 into each equation. We should get y = -2 as a result for each equation
y = (-5/3)x + 3
y = (-5/3)*3 + 3
y = -5+3
y = -2
The first equation is confirmed. Let's check the second equation
y = (1/3)x - 3
y = (1/3)*3 - 3
y = 1 - 3
y = -2
Both equations have the y value equal -2 when x = 3. Therefore, the overall solution is confirmed.
