Answer:
x = -3±sqrt( 5)
Step-by-step explanation:
(x + 3)^2-5=0
Add 5 to each side
(x + 3)^2-5+5=0+5
(x + 3)^2 = 5
Take the square root of each side
sqrt((x + 3)^2 )=±sqrt( 5)
x+3 = ±sqrt( 5)
Subtract 3 from each side
x+3-3 = -3±sqrt( 5)
x = -3±sqrt( 5)
Answer:
volume before window is taken out = lwh
volume of window is w^3
total volume is..... as given in pic
this is right
...............
7.) (x, y) —> (1/2*x, 1/2*y)
second side = x
first side = 3x - 6
third side = (3x - 6) + 8
The perimeter = 80m and is equal x + (3x - 6) + [(3x - 6) + 8]
x + 3x - 6 + 3x - 6 + 8 = 80
7x - 4 = 80 |+4
7x = 84 |:7
x = 12 m
3x - 6 = 3(12) - 6 = 30 m
(3x - 6) + 8 = 3x + 2 = 3(12) + 2 = 38 m
Answer: 12m, 30m, 38m
Answer:
Beatrice will accumulate $1230.72 at the end of the year.
Step-by-step explanation:
We can write:

for deposits
The first month would have only the deposit reflected in her balance, then, expanding some steps of the calculation would yield:

A geometric series is given by:

Translating our series to the short form:

plugin in the values for the 12 month gives:
