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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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faltersainse [42]

Answer:

13

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Step-by-step explanation:

So we have two equations regarding the number of quarters <em>q</em> and the number of pennies <em>p:</em>

<em />p+q<em />

Which represents the total amount of coins and

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Which represents the total amount of money in dollars.

So we are asked to evaluation each expression for the situation in which we have 6 quarters and 7 pennies. Thus, plug 6 in for <em>q</em> and 7 in for <em>p:</em>

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This tells us that we have 16 coins in total.

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