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3 years ago

What is the slope of a line that is perpendicular to the lien whose equation is 2y=3x-1

2 answers:

5 0

$\text{Let}\ k:y=m_1x+b_1\ \text{and}\ l:y=m_2x+b_2.\\\\l\ \parallel\ k\iff m_1=m_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\----------------------\\\\\text{The slope-intercept form:}\ y=mx+b.\\\\\text{We have}\ 2y=3x-1.\ \text{Convert to the slope-intercept form:}\\\\2y=3x-1\qquad\text{divide both sides by 2}\\\\y=\dfrac{3}{2}x-\dfrac{1}{2}\to m_1=\dfrac{3}{2}\\\\\text{Therefore}\\\\m_2=-\dfrac{1}{\frac{3}{2}}=-\dfrac{2}{3}\\\\Answer:\ \boxed{The\ slope\ =\ -\dfrac{2}{3}}$

bixtya [17]3 years ago

3 0

Answer:

-2/3

Step-by-step explanation:

We are to find the slope of a line which is perpendicular of a line with an equation $2y=3x-1$ .

We know that the slope of line which is perpendicular to another line is the negative reciprocal of that perpendicular line.

So writing the given equation of a line in the slope intercept form:

$2y=3x-1$ ---> $y=\frac{3}{2} x-\frac{1}{2}$

Here the slope of this line is $\frac{3}{2}$ so the slope of a line which is perpendicular to the given line will be $-\frac{2}{3}$ .

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Put the expressions in order from least to greatest.

Arte-miy333 [17]

Answer:

$\frac{11^{4} }{11^{11} } ,\frac{1}{11^{-4} }, 11^{5}*11^{2}, (11^{-3})^{-3}$

Step-by-step explanation:

For this, you need to know the rules of exponents:

If the coefficient is the same, you can do things to it (which I will get into)

In this case, all the coefficients are 11, so we don't have to worry about the coefficients being different.

For the first one, you can subtract the denominator exponent by the numerator exponent like so:

$11^{4} * 11^{-11} = 11^{-7}\\$

(When you multiply, you add the exponents)

Also, the rule is: $x^{-y} = \frac{1}{x^{y} }$ or $\frac{1}{x^{-y} } = x^{y}$

For the second one, you can use the rule mentioned before:

$\frac{1}{11^{-4} } = 11^{4}$

For the third one, you want to multiply the exponents (in these kinds of cases, you can multiply the exponent by the exponent)

So:

$(11^{-3} )^{-3} = 11^{9}$

Finally, the fourth one, you can simply just add the exponents:

$11^{5} * 11^{2} = 11^{7}$

Then, just order them from least to greatest by their exponents value :)

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1 year ago

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ValentinkaMS [17]

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Step-by-step explanation:

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3 years ago

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Radda [10]

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3 years ago

A tractor costs $16,900 and depreciates in value by 13% per year. How much will the tractor be worth after 8 years?

Assoli18 [71]

Answer: $-676

Step-by-step explanation:

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I need help solving this

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3 years ago

Read 2 more answers