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>
Step-by-step explanation:
a) The diameter of the wheel is the distance between the minimum and maximum. In other words, it's double the amplitude.
d = 2 × 14 = 28.
b) The period of the wave is:
720 = 2π / T
T = π/360
So the time for 3 revolution is:
3T = π/120
3T = 0.026 seconds
c) The minimum here is when cosine = 1.
h(t) = -14(1) + 14
h(t) = 0
This makes sense, since the minimum height is when the nail is at the bottom of the wheel, or at the ground.
Yes. As long as all four sides connect, it is a quadrilateral
Answer:
Yes, they should.
Step-by-step explanation:
If she is using the data from her table to graph her function they should represent the same function.
