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3 years ago

2. A piece of string 42 centimeters long is cut into 2 unequal pieces. The longer

Mathematics

1 answer:

Vaselesa [24]3 years ago

4 0

Answer: 28 cm

Step-by-step explanation:

x - the length of the shorter piece

2x - the length of the longer piece

Together they are 42 cm long.

Compose te equation:

2x + x = 42

3x = 42

x = 14 cm

The shorter piece is 14 cm, the longer piece is twice longer, 2x, or 2( 14 ).

Two times longer than 14 is 28. The longer piece is 28 cm.

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?? So lost with this

labwork [276]

Answer:

$A)\ 1,\ -1,\ -3\\\\B)\ d=-2\\\\C)\ \left\{\begin{array}{ccc}a_1=11\\a_n=a_{n-1}-2\end{array}\right\\\\D)\ f(n)=-2n+13$

Step-by-step explanation:

It's an arithmetic sequence.

9 = 11 - 2

7 = 9 - 2

5 = 7 - 2

3 = 5 - 2

A) next three terms: 3 - 2 = 1, 1 - 2 = -1, -1 - 2 = -3

B) Common difference = -2

C) Recursive Function:

$\left\{\begin{array}{ccc}a_1=11\\a_n=a_{n-1}-2\end{array}\right$

D) Explicit Function:

$f(n)=a_1+(n-1)d$

a₁ - first term

d - common difference

Substitute a₁ = 11 and d = -2:

$f(n)=11+(n-1)(-2)=11-2n+2=-2n+13$

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3 years ago

- Simplify the expression: -21 - (38)

Nutka1998 [239]

Step-by-step explanation:

-21 - (38)

-21-38

-(21+38)

-59

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3 years ago

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Abie makes $39,000 a year, and spends about $250 each month on entertainment. What

Sergio [31]

$250*12months=$3,000
$39,000/$3,000=13
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Andre45 [30]

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Sarah has 8 3/4 cups of flour each batch takes 1 2/3 cups of flour which is the best answer for how many batches of sarah can ma

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2 years ago