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icang [17]
3 years ago
13

The dimensions, in centimetres, of this rectangle are shown as algebraic expressions.

Mathematics
1 answer:
Korolek [52]3 years ago
4 0

Answer:

length = 15

Width = 9

Step-by-step explanation:

In a rectangle opposite sides are equal.

5x - y- 8 =3x +5y + 4

5x - 3x  -y - 5y = 4 + 8

2x - 6y = 12

Divide the entire equation by 2

x  - 3y = 6  --------------(I)

3x + y - 4 = 2x - 6y - 3

3x - 2x + y + 6y = -3 + 4

x + 7y = 1 -------------(II)

Multiply equation (II) by (-1)

(I)            x - 3y = 6

(II)*(-1)    <u>-x - 7y = -1</u>   {Now add. 'x' will be eliminated}

                  -10y= 5

                      y = 5/(-10)

                     y = -0.5

Plugin y = -0.5 in equation (I)

x - 3*(-0.5) = 6

x  + 1.5 = 6

        x = 6 - 1.5

        x = 4.5

Length = 5x - y - 8

           = 5*4.5 - (-0.5) - 8

           = 22.5 + 0.5 - 8

            = 23 - 8

Length = 15

Width = 2x - 6y - 3

         = 2*4.5 - 6*(-0.5) - 3

         =  9 + 3 - 3

Width = 9

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sdas [7]

Answer:

x = 5/3

Step-by-step explanation:

Solve for x:

7 x - 15 = -2 x

Add 2 x to both sides:

7 x + 2 x - 15 = 2 x - 2 x

2 x - 2 x = 0:

7 x + 2 x - 15 = 0

7 x + 2 x = 9 x:

9 x - 15 = 0

Add 15 to both sides:

9 x + (15 - 15) = 15

15 - 15 = 0:

9 x = 15

Divide both sides of 9 x = 15 by 9:

(9 x)/9 = 15/9

9/9 = 1:

x = 15/9

The gcd of 15 and 9 is 3, so 15/9 = (3×5)/(3×3) = 3/3×5/3 = 5/3:

Answer: x = 5/3

3 0
3 years ago
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Answer:

(3,-2)

Step-by-step explanation:

Got it right!!

6 0
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soldi70 [24.7K]

Answer:

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3 years ago
Given the diagram above . . .<br> 1. Is m∠A = 105? Explain.<br> 2. Is ∠B = 75? Explain.
maw [93]
1. Angle A is not 105degrees. As you can see on the horizontal line that it lies on, it's under 90degrees(acute). The angle aside from it is over 90degrees(obtuse).

2.Angle B is in fact not 75degrees.. By looking at the angle it's obtuse, over 90 degrees, so it can't be 75degrees.

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Eliosa determined that the correlation coefficient of the data set -0.7. What percent of the total variation in the y-values is
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Answer:

51% of the variation in Y is not explained by the regression line.

Step-by-step explanation:

To find the amount of variation not explained by the regression equation (how you found the correlation coefficient), we need to find <em>R. </em>We already have r ...

So to find R from r ( the correlation coefficient ) we just square it.

r² = .7² = .49

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4 years ago
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