Answer:
53.2 kg
Step-by-step explanation:
Let E represent Esther's weight. Then Henry's weight is E/2, and David's weight is E-5.2. Their average weight is ...
((E-5.2) + E + (E/2))/3 = 42.6
2.5E -5.2 = 127.8 . . . . . . . . . . multiply by 3, simplify
2.5E = 133 . . . . . . . . . . . . . . . . add 5.2
E = 133/2.5 = 53.2 . . . . kg
Esther's weight is 53.2 kg.
Answer:
an = 4/3n - 13/3.
Step-by-step explanation:
The first term is a1,
a24 = a1 + 23d
83/3 = a1 + 4/3* 23
a1 = 83/3 - 92/3
a1 = -9/3 = -3.
So the nth term an = -3 + 4/3(n - 1)
an = -3 + 4/3 n - 4/3
an = 4/3n - 13/3
The answer is a=6, b=4, and 0=3 you can always try to find the answer in google though
Hope that helped
Umm.. I have to see the problems, we might not have the same textbooks so
PART A
The equation of the parabola in vertex form is given by the formula,

where

is the vertex of the parabola.
We substitute these values to obtain,

The point, (3,6) lies on the parabola.
It must therefore satisfy its equation.




Hence the equation of the parabola in vertex form is

PART B
To obtain the equation of the parabola in standard form, we expand the vertex form of the equation.

This implies that

We expand to obtain,

This will give us,


This equation is now in the form,

where

This is the standard form