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:
y= 15
Step-by-step explanation:
Y= Kxz
y=6 x=1/2 z=6
15= K (1/2) (6)
15= K (3)
K= 5
SO
y= (5) (1/2) (6)
Y= 15
The largest number is 952. I'll tell you why...
7*8=56
------------
56*18=7*8*18=7*8*3*6=1008 (4 digits)
56*17=7*8*17=952 (3 digits)
A triangle has 180 degrees. You can find the total sum of the ratio by adding its parts together 1+3+5 = 9 Now to find out what each part of the ratio is worth we divide the whole value (180) by the sum of the ratio parts (9)
180/9 = 20
Now we multiply each part of the ratio by 20
1 * 20 = 20
3 * 20 = 60
5 * 20 = 100
Since we have an angle greater than 90 degrees this is an obtuse triangle.
Y=200x. it will take joan 8 hours to hike 1600 ft.
