An expression is shown

Mathematics

1 answer:

PSYCHO15rus [73]3 years ago

5 0

Answer:

Step-by-step explanation:

Adding the expressions in the numerator, we get:

6·10^(-5).

Then the given fraction appears like:

6·10^(-5)

-------------

3·10^7

First, we reduce 6/3, obtaining 2:

10^(-5)

2 -------------

10^(7)

Since the bases are the same, we can rewrite these exponentials with that base (10) and single exponent 12, which is the sum of 5 and 7 and is in the denominator:

---------

10^12

This matches the second possible answer choice.

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Given the line 2x - 3y - 5 = 0, find the slope of a line that is perpendicular to this line.

Tasya [4]

Answer:

The slope of a line that is perpendicular to the given line is $-\frac{3}{2}$

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

$y=mx+b$

Where "m" is the slope of the line and "b" is the y-intercept.

Solve for "y" from the equation of the line $2x - 3y - 5 = 0$ :

$2x - 3y - 5 = 0\\\\-3y=-2x+5\\\\y=\frac{-2}{-3}x+\frac{5}{-3}\\\\y=\frac{2}{3}x-\frac{5}{3}$

You can observe that the slope of this line is:

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By definition, the slopes of perpendicular lines are negative reciprocal, then, the slope of a line that is perpendicular to the give line, is

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Answer:

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Step-by-step explanation:

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3 years ago

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