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likoan [24]
3 years ago
15

Determine if the equations are parallel perpendicular or neither 10x-2y=16 and x+5y=-20

Mathematics
1 answer:
Inessa [10]3 years ago
3 0

Answer:

perpendicular lines

Step-by-step explanation:

First, put both equations into slope-intercept form.

Lets start with 10x - 2y = 16

Remember that the slope intercept formula is y = mx + b

So, we must get y alone on one side.

First, subtract 10x from both sides

10x - 2y = 16

-2y = -10x + 16

Now, divide both sides by negative 2

y = 5x - 8

Now for our second equation.

First we must subtract x from both sides

x + 5y = -20

5y = -x - 20

Now, divide both sides by 5

y = -1/5x - 4

Now, both of our equations are in slope-intercept form

Here's how to determine if two equations are parallel or perpendicular

<em>Remember that the m in y = mx + b is our slope</em>

Parallel = same slope

Perpendicular = negative reciprocal slope

(ex: take the number 6                             take the number -3

negative reciprocal = -1/6                        negative reciprocal = 1/3)

If we look at the slopes in both of our equations, we see that there is a negative reciprocal slope (the slopes are 5 and -1/5)

So, these two lines are perpendicular. :)

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A) x * y = 42  (or x = 42/y)
B) x + y = 23

B) 42/y + y = 23
42 + y^2 = 23y
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The numbers are 21 and 2


7 0
3 years ago
What is x. Please show *all* the steps.
Zolol [24]

The equation 5/2 - x + x - 5/x + 2 + 3x + 8/x^2 - 4 = 0 is a quadratic equation

The value of x is 8 or 1

<h3>How to determine the value of x?</h3>

The equation is given as:

5/2 - x + x - 5/x + 2 + 3x + 8/x^2 - 4 = 0

Rewrite as:

-5/x - 2 + x - 5/x + 2 + 3x + 8/x^2 - 4 = 0

Take the  LCM

[-5(x + 2) + (x -5)(x- 2)]\[x^2 - 4 + [3x + 8]/[x^2 - 4] = 0

Expand

[-5x - 10 + x^2 - 7x + 10]/[x^2 - 4] + [3x + 8]/[x^2 - 4] = 0

Evaluate the like terms

[x^2 - 12x]/[x^2 - 4] + [3x + 8]/[x^2 - 4 = 0

Multiply through by x^2 - 4

x^2 - 12x+ 3x + 8 = 0

Evaluate the like terms

x^2 -9x + 8 = 0

Expand

x^2 -x - 8x + 8 = 0

Factorize

x(x -1) - 8(x - 1) = 0

Factor out x - 1

(x -8)(x - 1) = 0

Solve for x

x = 8 or x = 1

Hence, the value of x is 8 or 1

Read more about equations at:

brainly.com/question/2972832

8 0
2 years ago
In Tayshia's pantry, there are bags of Cheetos and Doritos. The ratio of Cheetos to total bags of chips in her pantry is 9 to 16
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It’s not enough information given
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The scale reads 18kg a dog weighed at an animal clinic. About how many pounds dose the dog weigh​
zhenek [66]

Answer:

Step-by-step explanation:

80 pds

5 0
3 years ago
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Approximate the unknown side x in the diagram. <br> A. 3.356<br> B. 5.222<br> C. 3.064<br> D. 4.737
Marianna [84]

Answer:

The answer to your question is x = 3.356 cm

Step-by-step explanation:

This is a right triangle so we can use the Trigonometric functions to solve this problem.

Data

Ф = 40°

Adjacent side = 4 cm

Opposite side = x

Process

1.- We must know the lenght of the opposite side so we must use the tangent to solve it.

    tangent Ф = \frac{Opposite side}{Adjacent side}

2.- Solve it for Opposite side

    Opposite side = tanФ x Adjacent side

     Opposite side = tan 40° x 4

     Opposite side = 0.839 x 4

     Opposite side = 3.356

     Opposite side = x = 3.356 cm

5 0
2 years ago
Read 2 more answers
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