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elixir [45]
3 years ago
5

What is -0.8+1.4n=2+0.7n

Mathematics
1 answer:
Sergio [31]3 years ago
6 0

Answer:

n=4

Step-by-step explanation:

To solve combine your like terms.

You can start by adding 0.8 to both sides and subtracting 0.7n from both sides.

-0.8+1.4n=2+0.7n\\1.4n=2.8+0.7n\\0.7n=2.8

Next, divide both sides by 0.7 to isolate for n.

0.7n=2.8\\n=4

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A relation is plotted as a linear function on the coordinate plane starting at point e (0, 27)(0, 27) and ending at point f (5,−
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2

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Write the equation of a line that is perpendicular to the given line and that passes through the given point.
katrin2010 [14]
Greetings and Happy Holidays!

<span>1) Perpendicular to </span>-x+5y=14
In order for lines to be perpendicular, their slopes must be negative reciprocals.
Example of slopes with negative reciprocals: 5 and \frac{-1}{5}

First, rearrange the equation into slope y-intercept form:
-x+5y=14

5y=x+14

\frac{5y}{5}=\frac{x+14}{5}

y=\frac{1}{5}x+\frac{14}{5}

The slope of the equation is: \frac{1}{5}

The negative reciprocal formula: (m_{1})(m_{2})=-1

Solve for the negative reciprocal: 
\frac{1}{5}m_{2}=-1

Divide both sides by \frac{1}{5}
\frac{\frac{1}{5}m_{2} }{ \frac{1}{5}} = \frac{-1}{ \frac{1}{5}}

m_{2}=(-1)(\frac{5}{1})

m_{2}=(\frac{-5}{1})

m_{2}=-5

The slope of the new line is: -5

2) Passes through (-5,-2)

Create
an equation with the slope discovered in slope y-intercept form.
y=-5x+b

Input
the point the line passes through.
(-2)=-5(-5)+b

Solve
for b (the y-intercept).
-2=-5(-5)+b

Multiply.
-2=25+b

Add
-25 to both sides.
(-2)+(-25)=b

-27=b

The y-intercept is equal to -27

The Equation of the line is:
y=-5x-27

I hope this helped!
-Benjamin
6 0
4 years ago
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