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Aleks04 [339]
3 years ago
6

What is the slope of any line perpendicular to y=-1/3x+22

Mathematics
1 answer:
STatiana [176]3 years ago
5 0
Answer:
The slope of any line perpendicular to the given line is 3

Explanation:
The general form of the linear line is:
y = mx + c where m is the slope
The given line is:
y = -1/3 x + 22
Comparing the given line with the general form, we will find that:
slope of the given line (m1) is -1/3

Now, for any two lines to be perpendicular, the product of their slopes should be equal to -1.
This means that:
m1 * m2 = -1
We have m1 = -1/3
Therefore:
-1/3 * m2 = -1
m2 = 3*1
m2 = 3

Hope this helps :)
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Rus_ich [418]
The answer should be C if you were to add each point.
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4 years ago
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Select the correct answer. Consider these three numbers written in scientific notation: 6. 5 × 103, 5. 5 × 105, and 1. 1 × 103.
Karo-lina-s [1.5K]

Scientific notation uses expression which gives easy access of order. The greatest number is 5.5 \times 10^5 .It is greater by smallest number by 500  times.

<h3>How to convert a number to scientific notation?</h3>

It is usually of the form a.bc.. \times 10^kexponent of 10 starts)

(we have 1 ≤ |a| < 10 ) (where |a| is magnitude of a without sign)

This notation is used to get some idea of how large or small a number is in terms of power of 10.

<h3>What are some basic properties of exponentiation?</h3>

If we have a^bbase and 'b' is called power or exponent and we call it "a is raised to the power b" (this statement might change from text to text slightly).

Exponentiation(the process of raising some number to some power) have some basic rules as:

a^{-b} = \dfrac{1}{a^b}\\\\a^0 = 1 (a \neq 0)\\\\a^1 = a\\\\(a^b)^c = a^{b \times c}\\ a^b \times a^c = a^{b+c}

The given numbers are:

  • First number = 6.5 \times 10^3 = 6500
  • Second number = 5.5 \times 10^5 = 550000
  • Third number = 1.1 \times 10^3 = 1100

The smallest number is 1,100 and greatest is 550,000

Getting the division to get to know how many times the greatest number is larger than the smallest number, we get:

\dfrac{5.5 \times  10^5}{1.1 \times 10^3} = \dfrac{5.5 \times 10^{5-3}}{1.1} = \dfrac{5.5}{1.1} \times 10^2 = 5 \times 10^2 = 500

Thus, it is found that greatest number is 5.5 \times 10^5 . It is greater by smallest number by 500  times.

Learn more about scientific notation here:
brainly.com/question/3112062

6 0
3 years ago
A 9-yard roll of string costs $3.42. What is the unit price?
Karolina [17]

<em>Answer:</em>

<em>$0.38 per yard</em>

<em>Step-by-step explanation:</em>

<em>Step 1:</em>

Given; A 9-yard roll of string that costs $3.42.

Required; To find the unit price

<em>  Step 2:</em>

Convert $3.42 to cents

1 ~dollar=100~cents ~\\therefore,\\$3.42=3.42~x~100=342~cents~

<em>Step 3:</em>

<em>Find the unit price</em>

\frac{9 yard}{1 yard} =\frac{342 ~cents}{x~cents}

9x=342

\frac{9x}{9} =\frac{342}{9}

x=38~cents

<em>Convert to dollars</em>

x=\frac{38}{100}

x=0.38~per~yard

Hence the unit price is $0.38 per yard.

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For combining like terms: it is 7z
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