The answer to this question is D 17/24
A rectangle is a quadrilateral and its area is expressed as the product of its length and width. From the given, we have:
Length = x + 2
Width = 2x - 5
Area = 54 cm^2
Area = Length x Width
Substituting the values,
Area = (x + 2) ( 2x-5) = 54
54 = 2x^2 - x - 10
2x^2 - x - 64 = 0
We can see that the equation above is a polynomial with a degree of 2 therefore we can usethe Quadratic Formula to solve for x. The quadratic formula will solve two values of x.
x1 = (-b + (√b^2 - (4ac))/ 2a = 5.91
x2 = <span>(-b - (√b^2 - (4ac))/ 2a = -5.41
Since, for this case, the value x should not result to a negative value for both dimensions thus x is equal to 5.91.</span>
Answer:
<h3>x = 3/2 ± √(61/20)</h3>
Step-by-step explanation:
5x² - 15x - 4 = 0
Add 4 to both sides.
5x² - 15x = 4
The coefficient of 5x² is 5, divide both sides by 5.
x² - 3x = 4/5
The coefficient of -3x is -3. Let b=-3.
Then we need to add (b/2)^2=9/4 to both sides to complete the square.
Add 9/4 to both sides.
x² - 3x + 9/4 = 61/20
Factor left side.
(x-3/2)² = 61/20
Take square root of both sides.
x-3/2 = ± √(61/20)
Add 3/2 to both sides.
x = 3/2 ± √(61/20)
Answer:
Increase: $969.93 New Price: $18,604
Step-by-step explanation:
I got this answer by finding out how much of the initial price 5.5% was, it ended being 969.925 so I rounded that to 969.23 so that I may found how much the price increased, then I added the increase price to the initial price so that I may find out how much the car would cost next year which is, $18,604.
Answer:
B
Hope you get it right! :)
Step-by-step explanation:
