Answer:
1 1/8 inches.
Step-by-step explanation:
As the sails are similar, corresponding sides are in the same ratio, so we have the equation
:24/3 = 9/b where b = base of the souvenir boat.
Cross multiply:
24b = 9*3
b = 27/24
= 1 1/8 inches.
Answer:
2 equivalent expressions w/ negative signs in different places.
a) 
=-1/5 x and x/-5
b) 
=14/-y and -14/1/y
c) 
=a/1/b and 1/b/1/a
d) 
=-c/y and -c/1/y
Answer:
-1/x
Step-by-step explanation:
Answer:
(a - b)(5x - 2y)
Step-by-step explanation:
5x(a - b) – 2y(a - b) =
The factors in parentheses (shown in bold) are a common factor.
Factor (a - b) out from both terms.
= (a - b)(5x - 2y)
Answer:
The length is 8 inches and the width is 3 inches
Step-by-step explanation:
Let w represent the width.
The length can be represented by 2w + 2
Use the area formula, A = lw, and plug in the area and the expressions for the length and width:
A = lw
24 = (2w + 2)(w)
Simplify and solve for w:
24 = 2w² + 2w
2w² + 2w - 24
Divide everything by 2:
w² + w - 12
Factor:
(w + 4)(w - 3)
Set equal to 0 and solve for each factor:
w + 4 = 0
w = -4
w - 3 = 0
w = 3
Since the width cannot be negative, the width has to be 3.
Next, find the length by plugging in 3 as w:
2w + 2
2(3) + 2
= 8
So, the length is 8 inches and the width is 3 inches
