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Gemiola [76]
4 years ago
9

The ratio of the width to the length of a rectangle is 3:7. The shorter side is 9 inches long. What is the longer side and also

the area of the rectangle? Please show your work.
Mathematics
2 answers:
photoshop1234 [79]4 years ago
3 0

shorter side : longer side = 3 : 7


Equate 3 parts tp 9 inches:

3 parts = 9 inches


Find 1 part:

1 part = 9 ÷ 3 = 3 inches


Find 7 parts:

7 parts = 3 x 7 = 21 inches


Area = Length x Width = 21 x 9 = 189 in²


Answer: The longer side is 21in and the area is 189 in²

andreyandreev [35.5K]4 years ago
3 0
Take the length of the shortest side divide that by the ratio of the shortest side 9/3 =3

Take that number 3 and multiply it by seven.
3*7=21

The shorter side is 9 inches, and the longer side is 21 inches.

To find the area, multiply 21 by 9.
The area is 189 inches
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Flauer [41]

Answer:

x = 10

Step-by-step explanation:

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50 =  6x - 10

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7 0
3 years ago
Simplify the expression using long division. (10x2 – 85x – 10) ÷ (x – 8)
Lelechka [254]

Answer: 5 • (2x2 - 17x - 2)

 ———————————————————

        x - 8      

Step-by-step explanation:

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 

Step  2  :

           10x2 - 85x - 10

Simplify   ———————————————

                x - 8      

Step  3  :

Pulling out like terms :

3.1     Pull out like factors :

  10x2 - 85x - 10  =   5 • (2x2 - 17x - 2)  

Trying to factor by splitting the middle term

3.2     Factoring  2x2 - 17x - 2  

The first term is,  2x2  its coefficient is  2 .

The middle term is,  -17x  its coefficient is  -17 .

The last term, "the constant", is  -2  

Step-1 : Multiply the coefficient of the first term by the constant   2 • -2 = -4  

Step-2 : Find two factors of  -4  whose sum equals the coefficient of the middle term, which is   -17 .

     -4    +    1    =    -3  

     -2    +    2    =    0  

     -1    +    4    =    3  

Observation : No two such factors can be found !!  

Conclusion : Trinomial can not be factored

8 0
3 years ago
what is the constant of variation for the quadratic variation of x |2|3|4|5|6| fx |28|63|112|175|252|
hjlf
F(x) = k*x^2
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8 0
3 years ago
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svp [43]
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3 0
3 years ago
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