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eduard
3 years ago
14

Rafael's salary last year was $49,500 and he took home

Mathematics
1 answer:
Feliz [49]3 years ago
4 0
Can you give more information ?
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The line that contains the point Q( 1, -2) and is parallel to the line whose equation is
Triss [41]
Let's call this line y=mx+C, whereby 'm' will be its gradient and 'C' will be its constant.

If this line is parallel to the line you've just mentioned, it will have a gradient 2/3. We know this, because when we re-arrange the equation you've given us, we get...

y-4=\frac { 2 }{ 3 } \left( x-3 \right) \\ \\ y-4=\frac { 2 }{ 3 } x-2\\ \\ y=\frac { 2 }{ 3 } x-2+4\\ \\ y=\frac { 2 }{ 3 } x+2

So, at the moment, our parallel line looks like this...

y=(2/3)*x + C

However, you mentioned that this line passes through the point Q(1, -2). If this is the case, for the line (almost complete) above, when x=1, y=-2. With this information, we can figure out the constant of the line we want to find.

-2=(2/3)*(1) + C

Therefore:

C = - 2 - (2/3)

C = - 6/3 - 2/3

C = - 8/3

This means that the line you are looking for is:

y=(2/3)*x - (8/3)

Let's find out if this is truly the case with a handy graphing app... Well, it turns out that I'm correct.

3 0
3 years ago
1. If mPCV = 42, then mZVCN =
zalisa [80]

Answer:

Easy lol mzvcn=48

Step-by-step explanation:

7 0
2 years ago
What is the value of A when we rewrite<br> (5/2)^x +(5/2)^x+3 as A x (5/2)^x
elixir [45]

Answer:

Step-by-step explanation:

(\frac{5}{2})^{x}+(\frac{5}{2})^{(x+3)}=(\frac{5}{2})^{x}+(\frac{5}{2})^{x}*(\frac{5}{2})^{3}\\\\=(\frac{5}{2})^{x}*[1+(\frac{5}{2})^{3}]

Therefore,

A=1+(\frac{5}{2})^{3}

3 0
3 years ago
e position of a submarine relative to the water surface was −32 1/4 feet. A downward navigational maneuver increased its depth b
swat32

Answer:-47 3/4


Step-by-step explanation:

The correct answer would be -47 3/4  


You would use the equation


-32 1/4 - 15 1/2 = -47 3/4


to find your answer

5 0
3 years ago
A tank full of water is leaking at a constant rate for 30 minutes. The equation
ankoles [38]

Answer:  A. There were 500 liters in the tank when the leak started, and it is  decreasing by 9 liters per minute.

Step-by-step explanation:

This equation is in the form; y =mx + c.

<em>c</em> in this equation is the value of y when x is at 0.

<em>c</em> in the above formula is 500 which means that the number of litres (y) at zero minutes(x) is 500 litres.

<em>m</em> is the rate of change as a result of a change in x.

<em>m</em> in this equation is -9 which means that the water is reducing by 9 litres every minute (x).

3 0
2 years ago
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