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Blababa [14]
3 years ago
12

What is an equation of the line that passes through the point (-4,3) and is

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

Answer:

5x + 4y = - 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

4x - 5y = 20 ( subtract 4x from both sides )

- 5y = - 4x + 20 ( divide all terms by - 5 )

y = \frac{4}{5} x - 4 ← in slope- intercept form

with slope m = \frac{4}{5}

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{\frac{4}{5} } = - \frac{5}{4} , thus

y = - \frac{5}{4} x + c ← is the partial equation

To find c substitute (- 4, 3) into the partial equation

3 = 5 + c ⇒ c = 3 - 5 = - 2

y = - \frac{5}{4} x - 2 ← in slope- intercept form

Multiply through by 4

4y = - 5x - 8 ( add 5x to both sides )

5x + 4y = - 8 ← equation in standard form

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Try entering 2x+3=15 @ x=6 into the text box. After you enter the expression, Algebra Calculator will plug x=6 in for the equation 2x+3=15: 2(6)+3 = 15. The calculator prints "True" to let you know that the answer is right. More Examples Here are more examples of how to check your answers with Algebra Calculator. Feel free to try them now.

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How many different ways can four team members from the group of fifteen be lined up for a photograph?
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32760

Step-by-step explanation:

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3 years ago
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In the figure to the right, AE + DC = 1 1/5 cm, AB = 1 3/4 cm, DE = 1 1/4 cm, and BC = 1 3 /10 cm. Find the perimeter of the fig
pentagon [3]

Answer:

The perimeter of the figure = 9.5 cm

Step-by-step explanation:

<em>Note: You probably missed to add the figure, but after a little research I found and am attaching the figure. I have answered your question based on the reference of that figure. But, I hope you would learn the concept so that you could solve any question based on this concept. So, please check the figure.</em>

<em>Solution:</em>

The perimeter of the figure is the sum of all the sides of the given figure as shown in the attached figure.

So, here is the formula to calculate the perimeter.

                <em>Perimeter </em>=<em> AB + DE + BC + AE + BC  </em>

As AE + DC = 1 1/5 cm, AB = 1 3/4 cm, DE = 1 1/4 cm, and BC = 1 3/10 cm

Therefore,

<em>Perimeter</em> = 1 3/4  + 1 1/4  + 13/10 + 1 1/5           ∵ AE + BC = 1 1/5

                                   = (130  + 110  + 52 + 88) / 40

                                   = 380/40  

                                   = 9.5 cm

So, the perimeter of the figure is = 9.5 cm

Keywords:  perimeter

Learn more about perimeter of polygon from brainly.com/question/13393967

#learnwithBrainly

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