Answer:
(-7,4)
Step-by-step explanation:
goal: (y-k)^2=4p(x-h)
y^2-8y=4x+12 Rearranged and added 4x and 12 on both sides
y^2-8y+(-8/2)^2=4x+12+(-8/2)^2 complete square time (add same thing on both sides)
y^2-8y+(-4)^2=4x+12+(-4)^2 (simplify inside the squares)
(y-4)^2=4x+12+16 (now write the left hand side as a square)
(y-4)^2=4x+28
(y-4)^2=4(x+7) factored...
vertex is (-7,4)
Answer:
1/24
Step-by-step explanation:
1/4 divided by 6 will equal 1/24 of the soup to each kid
this is reproved when you add 1/24 x 6 and it will give .25 which is 1/4
Answer:
$3.42
Step-by-step explanation:
Meters of material required = 1.2 meters
Cost per meter of material = $0.85
Direct labor hours = 0.1
Cost of direct labor per hour = $15
Overhead rate = $9 per direct labor hour
Standard cost per unit of product :
(Direct material cost per unit + direct labor cost per unit + overhead cost per unit)
Direct material cost per unit :
Material needed × cost per meter = (1.2 × $0.85) = $1.02
Direct labor cost per unit :
Direct labor hour × cost per hour = ( 0.1 × $15) = $1.5
Overhead cost:
0.1 * $9 = $0.9
Standard cost :
($1.02 + $1.5 + $0.9) = $3.42
7^2 + 9^2 = 130
Square root of 130 is about 11.4
<span>To solve the problem we can subtract the initial time from the final one and keep in mind that from x AM to x PM there are 12 hours. In our case we have: from 2:16 AM to 2:16 PM we get 12 hours. And now we can subtract 2:16 hours or 2*60 + 16 = 136 minutes from 8:10 hours or 8*60 + 10 = 490 minutes. Which gives us 490 - 136 = 354 minutes, or 5 hours and 54 minutes. Plus the other 12, it gives us 17 hours and 54 minutes. So the answer is B.</span>
