(07.04) when 27 times x squared times z all over negative 3 times x squared times z to the sixth power is completely simplified, the exponent on the variable z is numerical answers expected! answer for blank 1:

                                                                                                                     Hello, Your answer will be A. 1/4        

Step-by-step explanation:

The coordinates of a point (x,y) that divides a segment with end points (a,b), (c,d) into two parts with ratio m/n are found using the fraction m / (n + m) and the formulae:

x = a + [m / (m + n)] × (c - a)

y = b + [m / (m + n) ] × (d - b)

For this case:

Point F (4,9)

Point G (7,2)

m = 1

n = 3

Fraction = 1 / (1 + 3) = 1 / 4

Hence, the coordinates of the point H are:

x = 4 + (1/4)×(7 - 4) = 4 + 3/4 = 4.75

y = 9 + (1/4)×(2 - 9) = 9 - 7/4 = 7.25

Have a Great Day!