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Alla [95]
3 years ago
7

The length of a rectangle is three times its width.

Mathematics
1 answer:
BartSMP [9]3 years ago
5 0

Answer:

perimeter:- 8x

Step-by-step explanation:

since,

length= 3(width)

length= 3x

and, perimeter= 2(l + b)

= 2(3x + x)

= 2(4x)

perimeter = 8x

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Find the value of x. The figures are not drawn to scale. Pis the center of the circle.
cricket20 [7]

Answer:

6.7 feet i think...

Step-by-step explanation:

the middle line is 12 feet and the dot is about in the middle of the line

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2 years ago
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3(4)<br> Solve 3(x-9)=21
Bas_tet [7]

Answer:

X=16

Step-by-step explanation:

Solve 3(x-9)=21   IF X = 16

16-9 = 7

3X7= 21

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Which of the following statements are true?
elena-14-01-66 [18.8K]

Answer: D (I think)

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3 years ago
The sum of the fractions 2/y-3 and 6/y+3 is equal to their
Sphinxa [80]

Step-by-step explanation:

Move expression to the left side and change its sign

5

y

−

3

+

10

y

2

−

y

−

6

−

y

y

+

2

=

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Write

−

y

as a sum or difference

5

y

−

3

+

10

y

2

+

2

y

−

3

y

−

6

−

y

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Factor out

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and

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3

from the expression

5

y

−

3

+

10

y

(

y

+

2

)

−

3

(

y

+

2

)

−

y

y

+

2

=

0

Factor out

y

+

2

from the expression

5

y

−

3

+

10

(

y

+

2

)

(

y

−

3

)

−

y

y

+

2

=

0

Write all numerators above the least common denominator

5

(

y

+

2

)

+

10

−

y

(

y

−

3

)

(

y

+

2

)

(

y

−

3

)

=

0

Distribute

5

and

−

y

through the parenthesis

5

y

+

10

+

10

−

y

2

+

3

y

(

y

+

2

)

(

y

−

3

)

=

0

Collect the like terms

8

y

+

20

−

y

2

(

y

+

2

)

(

y

−

3

)

=

0

Use the commutative property to reorder the terms

−

y

2

+

8

y

+

20

(

y

+

2

)

(

y

−

3

)

=

0

Write

8

y

as a sum or difference

−

y

2

+

10

y

−

2

y

+

20

(

y

+

2

)

(

y

−

3

)

=

0

Factor out

−

y

and

−

2

from the expression

−

y

(

y

−

10

)

−

2

(

y

−

10

)

(

y

+

2

)

(

y

−

3

)

=

0

Factor out

−

(

y

−

10

)

from the expression

−

(

y

−

10

)

(

y

+

2

)

(

y

+

2

)

(

y

−

3

)

=

0

Reduce the fraction with

y

+

2

−

y

−

10

y

−

3

=

0

Determine the sign of the fraction

−

y

−

10

y

−

3

=

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Simplify

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−

y

y

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When the quotient of expressions equals

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10

−

y

=

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Move the constant,

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−

y

=

−

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Change the signs on both sides of the equation

y

=

10

Check if the solution is in the defined range

y

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,

y

≠

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,

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≠

−

2

∴

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6 0
3 years ago
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Which graph shows a system of equations with no solutions?
podryga [215]

Graph of Parallel lines shows a system of equations with no solutions

Step-by-step explanation:

Consider a set of equations

7x - 2y = 16\\21x + 6y =24

If we solve this both equations using any one of the solving method, (Substitution method) then we will get

7x-2y=16\\7x=16+2y\\x=\frac{16+2y}{7}

substituting the following x in 2nd equation (21x + 6y = 24) We get

21(\frac{16+2y}{7} )+6y=24\\3(16+2y)+6y=24\\48+6y+6y=24\\12y=24-48\\y=-\frac{24}{12} \\y=-2

Put y= -2 in x equation

x=\frac{16+2(-2)}{7}\\ x=\frac{16-4}{7}\\\x=\frac{12}{7} \\x=1.71

Comparing these (x,y) values we can understand that they never meet at a point

4 0
2 years ago
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