Width = w
Length = w + 1
Area = 30
w(w+1) = 30
w² + w = 30
w² + w - 30 = 0
w² + 6w - 5w - 30 = 0
w(w + 6) -5(w + 6) = 0
(w + 6)(w - 5) = 0
w = 5 or -6
Since the width cannot be negative, the width is 5 units.
Hence, the width is 5 units and the length is 6 units.
Answer:
64 feet.
Step-by-step explanation:
From the question given, we can see that the answer has been done half way.
Now, the concluding part can be obtained as follow:
52/78 = x/96
Cross multiply
78 × x = 52 × 96
78x = 4992
Divide both side by 78
x = 4992/78
x = 64 feet
Therefore, the distance 'x' between the lions and monkeys is 64 feet.
Answer: x=11
Step-by-step explanation:
The lines are parallel, which you can tell by the two arrows. 4x-8 is a corresponding angle to 3x+3, meaning they are congruent.
4x-8 = 3x+3
x=11
Multiply both sides:
(2x + 2)(x + 3)
= 2x^2 + 6x + 2x + 6
= 2x^2 + 8x + 6
<h2>Answer: (1) 2x^2 + 8x + 6</h2>