Answer:
The radius of the circle is 
Step-by-step explanation:
we know that
The circumference of a circle is equal to

In this problem we have


substitute and solve for r


Pi: Irrational
√(2/3): Irrational
0.57575757 is rational
and -1/2 is rational.
I hope this helps.
Answer:
x = 5 and -2
Step-by-step explanation:
Given the function of x to be;
f(x) = (x-5)(x+2)/x+1
The value of x that will make the function zero can be calculated for by equating the given function to zero first to have;
If f(x) = 0, then;
(x-5)(x+2)/x+1 = 0
Cross multiplying;
(x-5)(x+2) = 0
(x-5) = 0 and x+2 = 0
x = 5 and x = -2
The value of x that will make the function zero is therefore 5 and -2
Answer: Options A and C.
Step-by-step explanation:
The parent exponential function has the form:

This can be transformated as following:
When you multiply the function by a factor <em>a</em> (
)<em> </em>and <em>a>0 </em>, then the function is vertically stretched.
When you add a number <em>k</em> to the parent function, the function is shifted up (
)
The parent function given in the problem is:

To obtain the function
, the parent function is multiplied by a factor 3 (which is greater than 0) and the number 5 is added.
Therefore, the graph is shifted up and vertically stretched.
Product means to multiply.
306 x 15 = 4590.