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astraxan [27]
1 year ago
10

Is each line parallel, perpendicular, or neither parallel nor perpendicular to the line −3x+5y=−15? Drag and drop each choice in

to the boxes to correctly complete the table.
Mathematics
1 answer:
nexus9112 [7]1 year ago
5 0

The first line is perpendicular, the second line is not perpendicular and not parallel , the third line is parallel to the above line and the forth line not parallel or perpendicular to the line.

<h3>How can the slope of the line be calculate?</h3>

The slope of the line  is been given as −3x+5y=−15

Then y= \frac{3}{5x} -3, hence the slope is \frac{3}{5}

  • Slope of the first line 5x + 3y = 15 after calculation is

the slope is y= \frac{5}{-3x} +5\\\\\frac{5}{-3}

this means that the line is perpendicular to the given line

  • Slope of the second line  3x + 5y = 15 after calculation is

y= \frac{3}{-5x} +15\\\\\frac{3}{-5}

This means that the line is not perpendicular and not parallel

  • Slope of the Third line  -3x + 5y = 15 can be calculated as

y= \frac{3}{5x} +15\\\\\frac{3}{5}

This means that the line is parallel to the above line.

  • Slope of the first line  3x + 5y = 15 after calculation is

y= \frac{-3}{5x} +3\\\\\frac{-3}{5}

This means that the line is not parallel or perpendicular to the line

Learn more about slope of  line at:

brainly.com/question/3493733

#SPJ1

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What is the solution to the equation 13.7y – 10.6 = 6.2y + 19.4?  
Lyrx [107]

Answer:

4

Step-by-step explanation:

Simplifying

13.7y + -10.6 = 6.2y + 19.4

Reorder the terms:

-10.6 + 13.7y = 6.2y + 19.4

Reorder the terms:

-10.6 + 13.7y = 19.4 + 6.2y

Solving

-10.6 + 13.7y = 19.4 + 6.2y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-6.2y' to each side of the equation.

-10.6 + 13.7y + -6.2y = 19.4 + 6.2y + -6.2y

Combine like terms: 13.7y + -6.2y = 7.5y

-10.6 + 7.5y = 19.4 + 6.2y + -6.2y

Combine like terms: 6.2y + -6.2y = 0.0

-10.6 + 7.5y = 19.4 + 0.0

-10.6 + 7.5y = 19.4

Add '10.6' to each side of the equation.

-10.6 + 10.6 + 7.5y = 19.4 + 10.6

Combine like terms: -10.6 + 10.6 = 0.0

0.0 + 7.5y = 19.4 + 10.6

7.5y = 19.4 + 10.6

Combine like terms: 19.4 + 10.6 = 30

7.5y = 30

Divide each side by '7.5'.

y = 4

Simplifying

y = 4

4 0
3 years ago
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Step2247 [10]

Answer:

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Step-by-step explanation:

When the numerators are the same, the denominator that is bigger has a lesser value. In this case, the inequality > shows that \frac{1}{10} is bigger than the fraction next to it so in order to find a fraction that is lesser in value than  \frac{1}{10}, we need to find a denominator that is <u>more than 10</u>, since 10 is the denominator of the first fraction. The only number more than 10 in the options is 12, so 12 is the answer.

7 0
3 years ago
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Alexxx [7]

Answer:

9.2

Step-by-step explanation:

first i added 5 + 3 = 8

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6 0
3 years ago
Classify the following polynomial function, −3x(x2−4)(2x2+5)based on degree and number of terms.
Free_Kalibri [48]

Answer:

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Step-by-step explanation:

We know that this is a quintic polynomial because the degrees add up to 5. If we expand the polynomial, we have -3x(x^2-4)(2x^2+5)=(-3x^3-12x)(2x^2+5)=-6x^5-45x^3-24x^3-60x=-6x^5-69x^3-60x

So, there are 3 terms, which is a trinomial.

5 0
2 years ago
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amid [387]
I hope this helps you



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