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atroni [7]
3 years ago
11

Write an equation of a line that goes through the point (-9, 3), and is perpendicular to the line 3x + y = 5

Mathematics
1 answer:
Vlad [161]3 years ago
3 0
To find the slope of the line, first find the slope of 3x + y = 5, and then its opposite reciprocal.

3x + y = 5
y = -3x + 5
the slope of 3x + y = 5 is -3.

the slope is -3, so the opposite reciprocal slope is 1/3.

the equation of any line is y = ax + b
to find this line, y = 3, x = -9, and the slope is 1/3.

3 = -9a + b
3 = -9 (1/3) + b
3 = -3 +b
b = 6

substitute a and b into the equation
y = ax + b
y = 1/3x + 6

the equation of the line is y = 1/3x + 6.


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Temka [501]

Answer:

x + 46

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Distributive Property

<u>Algebra I</u>

  • Combining Like Terms

Step-by-step explanation:

<u>Step 1: Define expression</u>

4(-8x + 5) - (-33x - 26)

<u>Step 2: Simplify</u>

  1. Distribute:                              -32x + 20 + 33x + 26
  2. Combine like terms (x):         x + 20 + 26
  3. Combine like terms (Z):         x + 46
3 0
3 years ago
In the equation y = <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B3%7D%20" id="TexFormula1" title=" \frac{x}{3} " alt="
Likurg_2 [28]
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7 0
3 years ago
Ben simplified this expression (2x^-4y^7 / 3x^3y^2)^3 Analyze bens work. did he simplify the expression correctly? If not, what
katovenus [111]

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6 0
3 years ago
Need help with solving and understanding
prohojiy [21]
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5 0
3 years ago
500 plates cost $18.00 what does each plate cost​
ozzi

Answer:

$0.036

Step-by-step explanation:

I will be solving this questions in a rational, proportional way.

This question given is directly proportional. There are two types of proportion.

Direct - Let's say there are two values, x and y. In direct proportion, while x   increases, y increases with it.  

Inverse- Taking x and y, in inverse proportion, while x increases, y decreases or while y increases, x decreases.

In the given example, there are two values, number of plates and cost of plates. While the number of plates increases, the cost would surely increase. Therefore, giving us that it is a direct proportion.

500 plates : $18.00 :: 1 : $x

500 plates is to 18 dollars, then, 1 plate is to how many dollars?

In direct proportion, the product of extremes is equal to the product of means.

500(x) = 18(1)

500x = 18

x = 18 / 500

x = 0.036

Hence, one plate costs $0.036 or 3.6 cents

5 0
3 years ago
Read 2 more answers
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