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BartSMP [9]
3 years ago
11

Darius is studying the relationship between mathematics and art. He asks friends to each draw a "typical” rectangle. He measures

the length and width in centimeters of each rectangle and plots the points on a graph, where x represents the width and y represents the length. The points representing the rectangles are (6.1, 12.0), (5.0, 8.1), (9.1, 15.2), (6.5, 10.2), (7.4, 11.3), and (10.9, 17.5). Which equation could Darius use to determine the length, in centimeters, of a "typical” rectangle for a given width in centimeters?
A. y = 0.605x + 0.004
B. y = 0.959x + 0.041
C. y = 1.518x + 0.995
Mathematics
2 answers:
Alex17521 [72]3 years ago
6 0
Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.

The equation could Darius use to determine the length, in centimeters, of a "typical” rectangle for a given width in centimeters is <span>y=1.518x+0.995</span>
SpyIntel [72]3 years ago
5 0

Answer:

Option A

Step-by-step explanation:

Given that Darius is studying  the relationship between mathematics and art. He asks friends to each draw a "typical” rectangle. x the length, y the width are known.

x y

6.1 12

5 8.1

9.1 15.2

6.5 10.2

7.4 11.3

10.9 17.5

 

slope 0.605311851

Intercept 0.004221583

Hence regression equation would be

y = 0.605x +0.004

Option A is the right answer

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(x-6)^2

Step-by-step explanation:

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2 years ago
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How do i find the slope
Elodia [21]

Hi, I'm happy to help!

To find the slope, you need to use the slope formula, where m is the slope:

<u>m=</u>\frac{y_{2}-y_{1 } }{x_{2} -x_{1} }<u></u>

Slope means rise over run, or how much the line rises per the amount the line moves forward. This equation shows the movement from the y points to show <u>rise</u>, over the difference in the x points to show <u>run</u>.

Now, to find the slope we insert our values, starting with our second y point:

<u>m=</u>\frac{2-y_{1 } }{x_{2} -x_{1} }<u></u>

Now insert our first y point:

<u>m=</u>\frac{2-4 }{x_{2} -x_{1} }<u></u>

Now we insert our second x point:

<u>m=</u>\frac{2-4 }{-3 -x_{1} }<u></u>

And finally our first x point:

<u>m=</u>\frac{2-4 }{-3 -3 }

Now, we solve:

<u>m=</u>\frac{-2 }{-6}

So, our slope is -2/-6, to simplify it, we remove both negatives because they cancel each other out.

<u>m=</u>\frac{2 }{6}

Now, we simplify our fraction by dividing the top and bottom by 2:

<u>m=</u>\frac{1}{3}<u></u>

So, our slope is 1/3. This means that for every 1 unit the line rises, it goes to the right 3 units. The y-intercept is where the line hits the y axis.

If the question is asking for slope intercept form for the equation, you use y=mx+b

y represents any y coordinate on your line, m represents your slope (1/3), x represents any x coordinate on your line, and b represents your y-intercept (3).

If you were to insert these values, you would get:

y=\frac{1}{3}x+3

You use this to find what a y coordinate would be so you can draw your line.

For the next equation we do the same thing:

<u>m=</u>\frac{y_{2}-y_{1 } }{x_{2} -x_{1} }<u></u>

Insert our values:

<u>m=</u>\frac{4-1}{2-(-4)}<u></u>

Get rid of the double negative:

<u>m=</u>\frac{4-1}{2+4}<u></u>

Solve:

<u>m=</u>\frac{3}{6}<u></u>

Simplify:

<u>m=</u>\frac{1}{2}

Now that we know our slope, let's plug it in to our slope intercept form equation.

y=\frac{1}{2}x+3

I hope this was helpful! Keep learning! :D

5 0
3 years ago
Learn with an example
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Answer: 10,000

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4 0
3 years ago
In a quadrilateral ABCD, AB || DC and AD || BC. Find the perimeter of triangle COD if the diagonals of the quadrilateral interse
aalyn [17]
Draw a diagram as shown below.

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Because the diagonals bisect each other at O, therefore
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Because AB = 13, therefore DC = 13.
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Answer:

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Step-by-step explanation:

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