Answer:
x = - 7, x = 1
Step-by-step explanation:
Given
x² + 6x = 7
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(3)x + 9 = 7 + 9
(x + 3)² = 16 ( take the square root of both sides )
x + 3 = ±
= ± 4 ( subtract 3 from both sides )
x = - 3 ± 4
x = - 3 - 4 = - 7
x = - 3 + 4 = 1
Solution set = { - 7, 1 }
=2 4/5
8/10+2
2+8/10=2 8/10
4/5- -2/1
(4x1)-(-2x5) divided by 5x1
=4- -10 divided by 5
=14/5
=2 4/5
17.2/43= 0.4
Since the scale is 1:43, you would just divide the actual length by 43.
0.4:17.2 is congruent to 1:43.
43/17.2= 2.5
1/.04= 2.5
I hope this helps!
~kaikers
Answer:
y =
x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (4, 5) ← 2 points on the line
m =
= 
The line crosses the y- axis at (0, 2 ) ⇒ c = 2
y =
x + 2 ← equation of line
Answer:
3645 rabbits after 6 months.
Step-by-step explanation:
The population of a rabbit colony triples each month.
This means that the population of the colony after t months is given by:

In which P(0) is the initial population.
The population started with 5 rabbits.
This means that 
So

How many rabbits are there after 6 months?
This is P(6). So

3645 rabbits after 6 months.