Answer:
9 inches by 12 inches
Step-by-step explanation:
So let's say <em>L</em>=length and <em>W</em>=width.
Since the problem states that the length should be 3 inches longer than the width, <em>L</em><em>=</em><em> </em>W+3
And the formula to find the perimeter of a rectangle is 2L+2W
so plug in W+3 for L and you get 2(W+3)+2W
Then distribute
2W+6+2W
Combine like-terms
4W+6
And the problem states the perimeter is 42 inches so,
4W+6=42
Subtract 6 to both sides
4W=36
Divide by 4 to both sides
W=9
So the width is 9
And to get the length, plug in 9 for W in L=W+3
L=9+3
L=12
So the length is 12
Answer:
2(4x + 1)(x + 1)
Step-by-step explanation:
Given
8x² + 10x + 2 ← factor out 2 from each term
= 2(4x² + 5x + 1)
To factor the quadratic
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 4 × 1 = 4 and sum = + 5
The factors are + 1 and + 4
Use these factors to split the x - term
4x² + x + 4x + 1 ( factor the first/second and third/fourth terms )
= x(4x + 1) + 1 (4x + 1) ← factor out (4x + 1)
= (4x + 1)(x + 1), thus
4x² + 5x + 1 = (4x + 1)(x + 1) and
8x² + 10x + 2 = 2(4x + 1)(x + 1) ← in factored form
Answer:
a.5years=300 rabbits
b. 50 years(multiply 50 by 300)
Step-by-step explanation:
hope this is helpful
