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3 years ago

1/2(x+10)= 1/4 (x-8) x= (must be a fraction)

Mathematics

1 answer:

Alex_Xolod [135]3 years ago

5 0

Answer:

$x=-9\frac{1}{3}$

Step-by-step explanation:

$\frac{1}{2}(x+10)=\frac{1}{4}(x-8)$

$\frac{1}{2}x+5=\frac{1}{4}x-2$

$\frac{1}{2}x-\frac{1}{4}x=-5-2$

$\frac{3}{4}x=-7$

$x=-\frac{28}{3}=-9\frac{1}{3}$

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3 years ago

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3 years ago

Describe what happens to the graph of y=3x + 4 when the slope is changed 1/3 one over three

kumpel [21]

Answer:

see the explanation

The graph in the attached figure

Step-by-step explanation:

we have

$y=3x+4$

This is a linear equation (the graph is a line)

The y-intercept is the point (0,4) ---> value of y when the value of x is equal to zero)

The x-intercept is the point (-4/3,0) ---> value of x when the value of y is equal to zero)

The slope is m=3

If the slope is changed to m=1/3

we have

$y=(1/3)x+4$

This is a linear equation too (the graph is a line)

The y-intercept is the point (0,4) ---> is the same

The x-intercept is the point (-12,0) ---> the x-intercept is different

The slope is m=1/3

The second line becomes a lot less steep

Remember that the slope is the ratio between the rise and the run

In the first line the ratio rise/run is 4/1

In the second line the ratio rise/run is 1/3

see the attached figure to better understand the problem

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3 years ago