Find the location of point f which is 3/4 of the way between points e and g. point g is located at (-8,-2). point e is located at (-4,14).

(-7 , 7/2)

Step-by-step explanation:

Given in the question,

point E(-4,14)

x1 = -4

y1 = 14

point G(-8,-2)

x2 = -8

y2 = -2

Location of point F which is 3/4 of the way from E to G

which means ratio of point F from E to G is 3 : 1

a : b

3 : 1

xF =

yF =

Plug values in the equation

xF = -4 + (3)/(3+1) (-8+4)

xF = -7

yF = 14 + (3)/(3+1)(-2-14)

yf = 7/2

correct answer is infinitely many solutions

step-by-step explanation:

2(2x + 3) = -4 + 2(2x + 5)

solving the above equation:

4x + 6 = -4 +4x +10

combining like terms

4x -4x = -4+10-6

0=0

since both sides are 0=0, we end up into true statement it means it has infinite many solutions.

so correct answer is infinitely many solutions

rick has $1400 and sally has $1500

step-by-step explanation:

to find amount of money rick has after 10 years :

principal = $1000 , time = 10 years , rate = 4% annually

to find amount of money sally has after 10 years :

her friend gives to pay her $50 per year, therefore money she has after 10 years = 50 × 10 = $500

also, sally gets $1000 after 10 years,

therefore, total amount of money sally has after 10 years = 500 + 1000 = $1500

so, after 10 years : rick has $1400 and sally has $1500