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3 years ago

The Length is _ and the width is. ?

Mathematics

1 answer:

Leviafan [203]3 years ago

4 0

Answer:

W=10

L=18

Step-by-step explanation:

So the equation for finding the perimeter of a rectangle is

2w + 2l = p

w=width

l=length

p=perimeter

Since the perimeter is 56 feet, and the length is 2 feet less than twice the width, then:

w=?

l=(2w-2)

p=56

So plug this info in-

2w + 2(2w-2) = 56

Then distribute-

2w + 4w - 4 = 56

Combine like terms

6w=60

Divide both sides by six

w=10

And to find length, plug width into the equation for length-

l=(2(10)-2)

l=18

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Answer:

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Step-by-step explanation:

All you have to do is distribute it out and combine like terms

5 0

3 years ago

Read 2 more answers

What is 2 1/8 - 1 2/7 equal to?

Allushta [10]

2 1/8 - 1 2/7 = ?
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8,7 | 2
4,7 | 2
2,7 | 2
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3 years ago

I need the answer to this algebra question. 4 x 38/12 + 2

mylen [45]

Answer: it is 38x/3+2

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2 years ago

1 , 3 , 6 , 10 , 15

Bas_tet [7]

First difference,

$\Delta_{1} = a_{2} - a_{1} = 3 - 1 = 2 = 1 + 1$

Second difference,

$\Delta_{2} = a_{3} - a_{2} = 6 - 3 = 3 = 2 + 1$

Third difference,

$\Delta_{3} = a_{4} - a_{3} = 10 - 6 = 4 = 3 + 1$

And so on.

Assuming the pattern holds on, we see that

i-th difference,

$\Delta_{i} = a_{i + 1} - a_{i} = i + 1$

$\implies a_{i + 1} = a_{i} + i + 1$

Then, nth term is,

$\implies a_{n} = a_{n - 1} + n$

$= a_{n - 2}+ (n + (n - 1))$

$= a_{n - 3} + (n + (n - 1) +(n - 2))$

$= a_{n - (n - 1)} + \sum \limits^{n - 2}_{k = 0}(n - k)$

$= a_1 + \sum \limits^{n - 2}_{k = 0}n- \sum \limits^{n - 2}_{k = 0}k$

$= a_1 +n(n -2 + 1 )- \frac{1}{2} (n - 2)(n - 1)$

$= a_1 +n(n -1 )- \frac{1}{2} (n - 2)(n - 1)$

$= a_1 +(n -1 )(n- \frac{1}{2} (n - 2))$

$= a_1 + \frac{1}{2} (n -1 )(2n- n + 2)$

$= a_1 + \frac{1}{2} (n -1 )(n + 2)$

$\implies a_{n} = 1 + \frac{1}{2} (n -1 )(n + 2)$

Now, the 21st term in the sequence is,

$\implies a_{21} = 1 + \frac{1}{2} (21 -1 )(21 + 2)$

$= 1 + \frac{1}{2} \times 20 \times 23$

$= 231$

4 0

3 years ago

(?,5) is on the line 4x-7y=1. Find the other half of the coordinate.

ludmilkaskok [199]

The coordinate is an ordered pair $(x,y)$ . We have a number, 5, for y, which we can substitute (plug-in) for y in the equation of the line and solve for x.

$4x-7y=1\\4x-7(5)=1\\4x=36\\x=9$

$(9,5)$

8 0

3 years ago