Answer:
1/125, 1/625, 1/3125
Step-by-step explanation:
a8=25*(1/5)^7=25/78125=1/3125
We have y = -2 - 2x ;
Then, x + ( -2 - 2x ) = 5 ;
x - 2 - 2x = 5;
- x - 2 = 5 ;
-x = 7 ;
x = - 7;
Finally, y = - 2 - 2 × ( - 7 ) ;
y = - 2 + 14 ;
y = 12;
<span>The x coordinate of the solution to the system is - 7 .</span>
1 unit to the left of -1 on the number line is -2.
Thus, 7 units to the left of -1 is -8.
The appropriate choice is ...
... c. -8
Answer:
11.2 feet
Step-by-step explanation:
The two furthest corners of the bed are at (8, 6) and (5, 10). To determine which is the furthest from the origin, use the distance formula.
d = √((x₂ − x₁)² + (y₂ − y₁)²)
d = √((8 − 0)² + (6 − 0)²)
d = 10
d = √((x₂ − x₁)² + (y₂ − y₁)²)
d = √((5 − 0)² + (10 − 0)²)
d = 5√5
d ≈ 11.2
Therefore, the corner at (5, 10) is the furthest from the origin, about 11.2 feet away.
The sequence is to take the previous number and multiply by 4, so the sequence is
3 12 48 192 768 3072 12288
add them all up and you get 16383
