The values of x are x = -0.77 and x = 3.27
<h3>How to determine the value of x?</h3>
To calculate the value of x. we start by using the following equivalent ratio
2x : (3.5 + x + 1.5) = x + 0.5 : x + 1.5
Evaluate the like terms
2x : (5 + x) = x + 0.5 : x + 1.5
Express the ratio as a fraction
2x/5 + x = x + 0.5/x + 1.5
Cross multiply
2x(x + 1.5) = (5 + x)(x + 0.5)
Open the brackets
2x^2 + 3x = 5x + 2.5 + x^2 + 0.5x
Evaluate the like terms
x^2 - 2.5x - 2.5 = 0
Using a graphing calculator, we have
x = -0.77 and x = 3.27
Hence, the values of x are x = -0.77 and x = 3.27
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Answer:
<h2>Length is 17m and Breadth is also 17m</h2>
Step-by-step explanation:
The perimeter of a rectangle is expressed as 2(L+B) where;
L is the length and B is the breadth of the triangle.
P = 2(L+B)
68 = 2(L+B)
L+B = 68/2
L+B = 34
L = 34 - B ... 1
Area of the rectangle A = LB... 2
Substituting equation 1 into 2 will give;
A = (34-B)B
A = 34B-B²
To maximize the area of the triangle, dA/dB must be equal to zero i.e
dA/dB = 0
dA/dB = 34 - 2B = 0
34-2B = 0
2B = 34
Dividing both sides of the equation by 2 we will have;
B = 34/2
B = 17
Substituting B = 17 into equation 1 to get the length L
L = 34-17
L = 17m
This shows that the rectangle with maximum area is a square since L = B = 17m
The dimension of the rectangle is Length = 17m and Breadth = 17m
Hey there
Your answer is 156 hope it helps:)
- Maddie
7:2
Step-by-step explanation:
Step one is to think about how often tacos are made. Tacos are made often. Now think about how often Wraps are made, not very often. After some research, the ratio is 7 burritos to 2 wraps. This would make the answer 7:2. Unfortunately tacos are more loved than Wraps.