Answer:
A. 7 in.
Step-by-step explanation:
We have been given that the perimeter of a rectangle is 16 inches. The equation that represents the perimeter of the rectangle is , where l represents the length of the rectangle and w represents the width of the rectangle.
We know that perimeter of rectangle is 2 times the sum of width and length of rectangle.
To be a rectangle length cannot be 8 as length and width of the rectangle is 8 inches.
Therefore, 7 inches the possible value for the length of the rectangle.
Answer:
The answer is 1024
Step-by-step explanation:
Hope I am correct
Answer: OPTION A
Step-by-step explanation:
The distance between any number is always positive so we should apply the absolute value.
The distance between numbers=number 1-number2 (or vise versa, and that is why we need absolute value)
In your question, the two numbers are 3/4 and 2. Applying to the expression above, the distance between two numbers should be |3/4-2| or |2-3/4|.
The only option in your case is |3/4-2| and this is it.
Hope this helps!! :)
Please let me know if you have any question
Answer:
x = - 3 is extraneous
Step-by-step explanation:
Given
- 1 = x ( add 1 to both sides )
= x + 1 ( square both sides )
x + 7 = (x + 1)² ← distribute right side
x + 7 = x² + 2x + 1 ( subtract x + 7 from both sides )
0 = x² + x - 6 ← in standard form
0 = (x + 3)(x - 2) ← in factored form
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x - 2 = 0 ⇒ x = 2
As a check
Substitute these values into the equation and if both sides are equal then they are the solutions.
x = - 3 : 
- 1 = 
- 1 = 2 - 1 = 1 ≠ - 3
x = 2 : 
- 1 = 
- 1 = 3 - 1 = 2
x = 2 is a solution and x = - 3 is extraneous
