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Vedmedyk [2.9K]
2 years ago
11

Is y= -9/5x + 1/5 perpendicular to y= 5/9x + 2/9

Mathematics
1 answer:
Lana71 [14]2 years ago
7 0

The given lines are perpendicular to each other.

Further explanation:

Given lines are:

Line 1: y= -9/5x + 1/5

Line 2:  y= 5/9x + 2/9

As the lines are in slope=intercept form, the co-efficient of x are their slopes

Let m1 be the slope of line 1 and m2 be the slope of line 2

Then

m_1=-\frac{9}{5}\\m_2=\frac{5}{9}\\m_1.m_2=-\frac{9}{5}*\frac{5}{9}\\m_1.m_2=-1

As we can see that the product of slopes of both lines is -1. The product of slopes of perpendicular lines is -1.

The given lines are perpendicular to each other.

Keywords: Slope, slope-intercept form

Learn more about equation of lines at:

  • brainly.com/question/4703807
  • brainly.com/question/4710621

#LearnwithBrainly

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Factor.<br><br> 10x^5 − 16x^4 + 4x^2
Licemer1 [7]
We have to find the GCD between 10, 16 and 4 and between x^5, x^4 and x^2

GCD (10,16,4) = 2
GCD (x^5,x^4,x^2) = x^2

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Final result: 2x^2(5x^3-8x^2+2)
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Simplify completely quantity x squared minus 3 x minus 54 over quantity x squared minus 18 x plus 81 times quantity x squared pl
oee [108]
Your statemtent is incomplete.

I found the samestatment with the complete words: <span>Simplify completely quantity x squared minus 3 x minus 54 over quantity x squared minus 18 x plus 81 times quantity x squared plus 12 x plus </span>36 over x plus 6

Given that your goal is to learn an be able to solve any similar problem, I can teach you assuming that what I found is exactly what you need.

x^2 - 3x - 54            x^2 + 12x + 36
------------------    x   ---------------------
x^2 - 18x + 81              x + 6

factor x^2 - 3x - 54 => (x - 9)(x + 6)

factor x^2 - 18x + 81 => (x - 9)^2

factor x^2 + 12x + 36 = (x + 6)^2

Now replace the polynomials with the factors=>

(x - 9) (x + 6) (x + 6)^2        (x + 6)^2       x^2 + 12x + 36
------------------------------ =  --------------- = --------------------
    (x - 9)^2 (x + 6)                 (x - 9)               x - 9

4 0
3 years ago
Read 2 more answers
Chau made $252 for 18 hours of work. At the same rate, how much would he make for 9 hours of work?
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Answer:

$126

Step-by-step explanation:

$252/$18=$14 dollars per hour.

now take 14*9 and you get $126.

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2 years ago
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Add. Write your answer in scientific notation. (8×106)+(7.92×109)
Anettt [7]

The sum of the numbers 8 × 10⁶ and 7.92 × 10⁹ in the form of scientific notation will be 7.928 × 10⁹.

<h3>What is Algebra?</h3>

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

The expression is given below.

8 × 10⁶ and 7.92 × 10⁹

The addition of both terms 8 × 10⁶ and 7.92 × 10⁹ will be

⇒ 8 × 10⁶ + 7.92 × 10⁹

⇒ 8 × 10⁶ + 7920 × 10⁶

⇒ 7928 × 10⁶

⇒ 7.928 × 10⁹

The sum of the numbers 8 × 10⁶ and 7.92 × 10⁹ in the form of scientific notation will be 7.928 × 10⁹.

More about the Algebra link is given below.

brainly.com/question/953809

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