<span>2x+12y=-1
</span>y = -1x/6 -1/12
Perpendicular lines<span> are </span>lines<span> that cross one another at a 90° angle. They have slopes that are opposite reciprocals of one another. Therefore, the slope of the perpendicular line in this problem is the opposite reciprocal of -1/6 which is 6. The equation would be
</span><span>y=(6)x+9</span>
Answer:
It'll take 7.5967 years to have $300 on that account.
Step-by-step explanation:
This problem involves a compounded interest compounded continuously, so in order to solve it we must use the formula for those cases as shown below:
M = C*e^(i*t)
Where M is the final value, C is the initial capital, i is the interest rate and t is the total time. We have:
300 = 250*e^(0.024*t)
e^(0.024*t) = 300/250
e^(0.024*t) = 1.2
0.024*t = ln(1.2)
t = ln(1.2)/0.024 = 7.5967
It'll take 7.5967 years to have $300 on that account.
Step-by-step explanation:
let's simply do the multiplications and then compare with the original.
(x-m)² + n
right ?
or is it
let's go for the first.
x² - 2mx + m² + n = x² - 3x
-2mx + m² + n = -3x
fun there we see two things :
-2m = -3
m = 3/2
and
m² + n = 0
(3/2)² = -n
9/4 = -n
n = -9/4
so our transformed expression looks like
(x - 3/2)² - 9/4
Answer:
1 /1 ; 360°
Step-by-step explanation:
Start time = 2:30 pm
Stop time = 3:30 pm
Minute hand makes a complete revolution per hour ;
This means that the minutes hand revolves round the whole circle in one hour, hence fraction of the circle covered by the minute hand between 2:30 pm - 3:30 pm is 1/1 = 1
The angle turned by the minutes hand :
1 complete revolution = 360°
A circle covers 360°
1 /1 fraction of a circle = 1/1 * 360° = 360°
Hence, angle turned by the minute hand = 360°
