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lidiya [134]
3 years ago
9

Help me plz. The sides of a rectangular terrain are given by the expressions (x - 5) y

Mathematics
1 answer:
tatyana61 [14]3 years ago
4 0

Area = (x - 5)(x – 7)

Area = x(x - 7) - 5(x - 7)

Area = x^2 -7x -5x + 35

Area = x^2 -12x + 35

algebraic expression that represents its area: x^2 -12x + 35

x^2 - 12x + 35 = 195

x^2 - 12x + 35 - 195 = 0

x^2 - 12x - 160 = 0

x^2 - 8x - 20x - 160 = 0

x (x + 8) - 20 (x + 8) = 0

(x + 8) (x - 20) = 0

(x + 8) = 0

(x - 20) = 0

x = - 8 (not a solution)

x = 20

hence,

length = x - 5

length = 20 - 5

length = 15 m

width = x - 7

width = 20 - 7

width = 13 m

perimeter = 2(13) + 2(15)

perimeter = 26 + 30

perimeter = 56 m²

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Answer:

The answer to your question is  x² + 5/2x - 3/2 = 0

Step-by-step explanation:

Data

Quadratic equation           x² + 2.5x - 1.5 = 0

Process

1.- Convert the decimals into fractions

2.5 = 25/10 = 5/2

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2.- Substitution

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3.- Conclusion

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"Each week, a subcommittee of four individuals is formed from among the members of a committee comprising seven individuals. Two
denis-greek [22]

Answer:

140 weeks.

Step-by-step explanation:

We are being asked for the maximum number that can elapse without having 2 subcommitees with the same members and the same chair. Notice that the secretary is not mentioned in this statement, so we can ignore that position.

Now, the maximum number of weeks would be equal to the total possible combinations of subcommitees that can be formed from the 7 individuals commiteed, times the number of options that can sit at the chair possition.

The total possible combinations of subcommitees that can be formed from the 7 individuals can be expressed like the following expression. Notice that there is no a particular order to be considered, so we use the combination formula:

\left[\begin{array}{ccc}7\\4\end{array}\right] = \frac{7!}{4!(7-4)!} = 35

Now, each of the 4 individuals have the same probability of being chosen as the chair commitee. So, we have to multiply 4 times the number of possible subcommitees in order to arrive our answer:

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