Answer:
Length: 5 ft; width: 4 ft.
Step-by-step explanation:
A = LW formula for area of rectangle
(2x + 1)(2x) = 20 substitute length, width, and area into formula
4x² + 2x - 20 = 0 use the distributive property to multiply out left side
2x² + x - 10 = 0 divide both sides of equation by 2
(2x + 5)(x - 2) = 0 factor out trinomial
2x + 5 = 0 or x - 2 = 0 use zero product rule to solve for x
2x = -5 or x = 2 subtract 5 from both sides; add 2 to both sides
x = -5/2 or x = 2
We discard x = -5/2 since it would give negative length and width, and the length and width cannot be negative.
Length: 2x + 1 = 2(2) + 1 = 5
Width: 2x = 2(2) = 4
Length: 5 ft; width: 4 ft.
Y=mx+b or -2=-1 x 2+b, b= -2(-1)(2) b=0
Therefore the equation of the line is
y=-1x
Answer:
30:1
Step-by-step explanation:
45*12 = 540
540/18 = 30
Answer:
4 minutes
Step-by-step explanation:
The value of 7k "minutes past nine" is the same as 8k" minutes to ten".
Since there are 60 minutes in an hour and 9 and 10 fall in between the same hour, this means that:
7k = 60 - 8k
7k + 8k = 60
15k = 60
k = 60 / 15
k = 4 minutes
Answer:
17
Step-by-step explanation:
