Answer:
positive, real, irrational, algebraic
Step-by-step explanation:
Numbers are categorized various ways. Some categories include ...
prime, composite
real, complex
integer, rational, irrational
whole number, natural number
positive, negative, zero
algebraic, non-algebraic*
√23 is the positive, real, irrational root of a prime number. It is an algebraic number.
_____
* An algebraic number is a root of a polynomial with integer coefficients.
√23 is a root of x^2 -23 = 0.
The y-intercept occurs on a graph when x = 0. Therefore on a graph of y= ab^x when x = 0, y = ab^0 = 1. Therefore the y-intercept is at the point (0,1).
Hope this helps!
Distance formula between 2 points (x1,y1) and (x2,y2)
D=

D=29 and one point is (-5,5) and the other is (k,0)
sub
29=

29=

square both sides
841=

841=

minus 25 both sides
816=

square root both sides don't forget positive and negative roots
+/-4√51=-5-k
add 5 to both sides
5+/-4√51=-k
times -1 both sides
-5+/-4√51=k
the possible values for k are
k=-5+4√51 or k=-5-4√51