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Gnom [1K]
3 years ago
15

A square has sides of length s. A rectangle is 6 inches shorter and 1 inch longer than the square. Which of the following polyno

mials represents the area of the rectangle? Select all that apply.

Mathematics
2 answers:
Doss [256]3 years ago
7 0
S - side of the square
rectangle
s-6
s+1
A =Length*Width
A=(s-6)(s+1)
A=s²-6s+s-6=s²-5s-6
uysha [10]3 years ago
3 0

Answer:

(s-6)(s+1)\text {and }s^2-5s-6

Step-by-step explanation:

Allow me add in all applies and hope it will fit the original one. Please have a look at the attached photo.

Given:

Length of the square: s

Because the rectangle is 6 inches shorter: s-6

and 1 inch longer than the square: s+1

=> the area of the rectangle is:

A = (s-6)(s+1)

<=> A = s^{2} -6s + s -6

<=> A = s^{2}  + 5s -6

Thus , area of rectangle can be given by expressions:

(s-6)(s+1)\text {and }s^2-5s-6

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c

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6 0
3 years ago
It takes a train 60 seconds to completely drive through a bridge of 1260 m, and 90 seconds to completely drive through a tunnel
Olegator [25]

The length of train is 120 meters

The speed of train is 25 meter per second

<u><em>Solution:</em></u>

The speed is given by formula:

speed = \frac{distance}{time}

Given that,

It takes a train 60 seconds to completely drive through a bridge of 1260 m

And 90 seconds to completely drive through a tunnel of 2010 m

Let the length of the train be "x"

<em><u>The total distance travelled by the train across the bridge is given by:</u></em>

total distance = x + 1260 + x = 2x + 1260

[ here we use x + x to represent that train completely drives through bridge ]

The time taken is given as 60 seconds

<em><u>Therefore, the speed is given as:</u></em>

speed = \frac{2x+ 1260}{60}

<em><u>The total distance travelled by the train through the tunnel is given by:</u></em>

total distance = x + 2010 + x = 2x + 2010

The time taken is given as 90 seconds

<em><u>Therefore, the speed is given as:</u></em>

speed = \frac{2x+ 2010}{90}

The speed of the train was the same in both cases.

Equate both speeds

\frac{2x+ 1260}{60} = \frac{2x+ 2010}{90}

\frac{x+630}{30} = \frac{x+1005}{45}

45(x+630) = 30(x+1005)\\\\45x + 28350 = 30x + 30150\\\\45x - 30x = 30150 - 28350\\\\15x = 1800\\\\x = 120

Thus length of train is 120 meters

<em><u>Find the speed of train:</u></em>

speed = \frac{2x+ 1260}{60}\\\\speed = \frac{2(120) + 1260)}{60}\\\\speed = 25

Thus speed of train is 25 meter per second

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3 years ago
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Answer:

Step-by-step explanation:

3⁵:3² = 3³:1 = 27:1

:::::

4:5 = 1:5/4 = 1:1.25

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Answer:

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Step-by-step explanation:

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