Answer:
12.56 feet
Step-by-step explanation:
The perimeter of a shape is the sum of all its side.
Since circle doesn't have "sides", the perimeter is the length of the whole circle. This has the name "circumference".
The circumference of a circle has the formula:
Where
C is the circumference (perimeter of a circle)
r is the radius
Given,
r = 2 feet
We substitute and find the circumference, using 3.14 as ,
Hence, the circumference is 12.56 feet
Answer:
The reason is because linear functions always have real solutions while some quadratic functions have only imaginary solutions
Step-by-step explanation:
An asymptote of a curve (function) is the line to which the curve is converging or to which the curve to line distance decreases progressively towards zero as the x and y coordinates of points on the line approaches infinity such that the line and its asymptote do not meet.
The reciprocals of linear function f(x) are the number 1 divided by function that is 1/f(x) such that there always exist a value of x for which the function f(x) which is the denominator of the reciprocal equals zero (f(x) = 0) and the value of the reciprocal of the function at that point (y' = 1/(f(x)=0) = 1/0 = ∞) is infinity.
Therefore, because a linear function always has a real solution there always exist a value of x for which the reciprocal of a linear function approaches infinity that is have a vertical asymptote.
However a quadratic function does not always have a real solution as from the general formula of solving quadratic equations, which are put in the form, a·x² + b·x + c = 0 is , and when 4·a·c > b² we have;
b² - 4·a·c < 0 = -ve value hence;
√(-ve value) = Imaginary number
Hence the reciprocal of the quadratic function f(x) = a·x² + b·x + c = 0, where 4·a·c > b² does not have a real solution when the function is equal to zero hence the reciprocal of the quadratic function which is 1/(a·x² + b·x + c = 0) has imaginary values, and therefore does not have vertical asymptotes.
Ok, so if he walks 4 miles per 64 minutes, or 4 miles/64 min which will
reduce to 1 mile/ 16 min, then the numbers of miles he walks in a given
number of minutes would be
1/16 * number of minutes
The question states we represent miles with y and number of minutes with x, so...
y = 1/16x
So let's check it...
How many miles (y) in 64 minutes (x)
y = 1/16x
y = 1/16 * 64
y = 64/16 = 4 miles
Yep! It checks!
Answer:
The ASA Postulate
Step-by-step explanation:
Answer:
There may be fractional solutions in this context.
Step-by-step explanation:
We are given an inequality equation and we have to get a solution to that.
It is, 2s + 36 > 50
⇒ 2s > 50 - 36 {Subtracting 36 from both the sides}
⇒ 2s > 14
⇒ s > 7 {Dividing both sides by 2}
Therefore, solution of this given inequality is s > 7.
Now, the value of s is greater than 7 which may be an integer or a fraction.
So, there may be fractional solutions in this context. (Answer)