Answer:
Step-by-step explanation:
The given relation between length and width can be used to write an expression for area. The equation setting that equal to the given area can be solved to find the shed dimensions.
__
<h3>Given relation</h3>
Let x represent the width of the shed. Then the length is (2x+3), and the area is ...
A = LW
20 = (2x+3)(x) . . . . . area of the shed
__
<h3>Solution</h3>
Completing the square gives ...
2x² +3x +1.125 = 21.125 . . . . . . add 2(9/16) to both sides
2(x +0.75)² = 21.125 . . . . . . . write as a square
x +0.75 = √10.5625 . . . . . divide by 2, take the square root
x = -0.75 +3.25 = 2.50 . . . . . subtract 0.75, keep the positive solution
The width of the shed is 2.5 feet; the length is 2(2.5)+3 = 8 feet.
proportional relationships have constant ratios.
the graph is a line, so it is a proportional relationship. (A)
the function is in the form y=kx (proportional function) (C)
Find the ratio of the tables: (B)

D

All represent a proportional relationship
Answer:
13 =w
Step-by-step explanation:
-33 = 6 - 3w
Subtract 6 from each side
-33-6 = 6 - 3w-6
-39 = -3w
Divide each side by -3
-39/-3 = -3w/-3
13 =w
Answer:
The answer is 675.75
Step-by-step explanation:
159 × 4.25= 675.75