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Law Incorporation [45]
3 years ago
11

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

sions represents the area of the rectangle? Select all that apply.
S^2

(s+6)(s+1)

(s-6)(s-1)

(s-6)(s+1)

s^2 - 7s + 1

s^2 - 5s - 6

s^2 + 7s + 6
Mathematics
2 answers:
Semmy [17]3 years ago
5 0

Answer: Area of rectangle can be given by expressions:

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


Step-by-step explanation:

Given : A square has sides of length s.

According to the question,

Dimensions of new rectangles=(s-6)×(s+1)

Thus, Area of rectangle= (s-6)×(s+1)

=s^2-6s+s-6\\\Rightarrow\ s^2-5s-6

Thus , area of rectangle can be given by expressions:

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

Ivahew [28]3 years ago
5 0

Answer:

(s-6)(s+1) and s² - 5s - 6

Step-by-step explanation:

Suppose s represents the side length of the square,

∵ Rectangle is 1 inch longer than the square,

⇒ Length = (s+1) inches,

It is 6 inches shorter than square,

⇒ Width = (s-6) inches

∵ Area of a rectangle = Length × width

= (s+1)(s-6)

= s² - 6s + 1s - 6

= s² - 5s - 6

Hence, THIRD and FIFTH options are correct.

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If 18√8 - 8 √18 = √n, what is n?
Yuliya22 [10]

Answer:

n=288

Step-by-step explanation:

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a

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n

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18

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18

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2

Cancel the common factor of  2  

Cancel the common factor.

n

1

2

⋅

2

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(

18

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8

−

8

√

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2

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n

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18

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8

−

8

√

18

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2

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n

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18

√

8

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2

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18

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8

−

8

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18

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2

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2

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−

8

√

9

(

2

)

)

2

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9

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2

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n

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(

36

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−

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√

3

2

⋅

2

)

2

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2

−

8

(

3

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2

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2

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2

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2

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x

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2

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1

2

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(

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2

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2

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m

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n

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n

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n

=

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⋅

2

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2

⋅

2

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2

and  

2

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2

2

2

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2

2

2

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n

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⋅

2

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5 0
3 years ago
How to get everything to one side of the inequality for 3+4/x>=(x+2)/x
Ksenya-84 [330]

Answer:

2x+2\geq 0

Step-by-step explanation:

Given:

The given inequality is.

3+\frac{4}{x} \geq \frac{x+2}{x}

Solution:

Simplify the given expression.

3+\frac{4}{x} \geq \frac{x+2}{x}

Multiply by x both side of the equation.

x(3+\frac{4}{x}) \geq x(\frac{x+2}{x})

Simplify.

3x+\frac{4x}{x} \geq x(\frac{x+2}{x})

3x+4\geq x+2

Rewrite the equation as.

3x+4-x-2\geq 0

2x+2\geq 0

Therefore, 2x+2\geq 0 is the simplest form of the given expression.

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3 years ago
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3 years ago
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erastova [34]

Answer:

slope = - \frac{3}{2}

Step-by-step explanation:

note that BC is perpendicular to AB, hence the slope of BC is the negative reciprocal of the slope of AB

m_{BC} = - \frac{1}{2/3} = - \frac{3}{2}


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3 years ago
The number of cars at a dealership dropped from 64 to 48 after a weekend sale.
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Answer: B. 25%

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64-48 = 16

16/ 64= 0.25

0.25 x 100 = 25%

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