Answer:
a = 1/2 (1 ±sqrt(47))
Step-by-step explanation:
a^2-a+12=0
We will complete the square
Subtract 12 from each side
a^2-a+12-12=0-12
a^2-a=-12
The coefficient of a = -1
-Divide by 2 and then square it
(-1/2) ^2 = 1/4
Add it to each side
a^2 -a +1/4=-12 +1/4
(a-1/2)^2 = -11 3/4
(a-1/2)^2= -47/4
Take the square root of each side
sqrt((a-1/2)^2) =sqrt(-47/4)
a-1/2 = ±i sqrt(1/4) sqrt(47)
a-1/2= ±i/2 sqrt(47)
Add 1/2 to each side
a-1/2+1/2 = 1/2± i/2 sqrt(47)
a = 1/2± i/2 sqrt(47)
a = 1/2 (1 ±sqrt(47))
Answer:
8.69 × 10^4
For a clearer answer look at the image.
Step-by-step explanation:
10² + 10² = 10^4
5.84 + 2.85 = 8.69
8.69 × 10^4
Answer:
b =15
Step-by-step explanation:
We can use Pythagoras theorem to find b:
64 + 
= 289
64 + 225 = 289
64 + 
= 289
b = 15
hope this helps :) and sorry if not right
Answer:
c(2) = -10
Step-by-step explanation:
The first equation says that the first term of the sequence is -20.
The second equation is saying that to find any term of the sequence, add 10 to the previous term.
c(2) = c(2-1) + 10
c(2) = c(1) + 10
c(2) = -20 + 10 = -10
Answer:
0.33...acre
Step-by-step explanation:
1/4=0.25
3/4=0.75
-------------
0.25/0.75=x/1
cross product
0.75*x=0.25*1
0.75x=0.25
x=0.25/0.75
x=0.3
