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defon
3 years ago
5

Which number line shows the solutions to 1/2 x -2 > 0

Mathematics
2 answers:
Mkey [24]3 years ago
5 0

Answer:

The top choice

Step-by-step explanation:

1/2 x -2 > 0

Add 2 to each side

1/2 x -2+2 > 0+2

1/2 x > 2

Multiply each side by 2

1/2 x *2 > 2*2

x > 4

There is an open circle at 4 and the line goes to the right

marta [7]3 years ago
5 0

Answer:

It is the first option everything to the right of 4.

Step-by-step explanation:

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<h2>Hello!</h2>

The answer is:

The correct option is the first option,

y=\frac{5}{4} (x-1)

<h2>Why?</h2>

To solve this problem, we need to remember that the point-slope form of a line is given by the following equation:

y-y_{1}=m(x-x_{1})\\\\y-0=\frac{5}{4}(x-1)

We are given two points of the line,

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x=5\\x_{1}=1\\y=5\\y_{1}=0\\

Then, substituting the given points into the equation ,to calculate m (slope), we have:

m=\frac{y-y_{1}}{x-x_{1}}

m=\frac{5-0}{5-1}=\frac{5}{4}

The slope of the function is \frac{5}{4}

Now, substituting "x1" and "y1" and the slope in the point-slope equation, we have:

(y-0)=\frac{5}{4} (x-1)

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Hence, the correct option is the first option,

y=\frac{5}{4} (x-1)

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4 years ago
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anzhelika [568]

Answer:

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Step-by-step explanation:

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Brook only stated that the distance on the line is 4 units, so I can only assume that she measured the Y-Axis.

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