Answer:
Step-by-step explanation:
If two lines are parallel, that means their slopes are equal.
And we also know that the line must pass through (-6,7)
And with our point-slope equation, we get the equation:

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Hope that helps!
Answer:
1/2 - 3(1/2 + 1)²
simplify the expression (1/2 + 1)
1/2 - 3•(3/2)²
using PEMDAS, we see we have to evaluate the exponent first
(3/2)² = 9/4
rewrite the equation
1/2 - 3 • (9/4)
multiply 3 by (9/4)
1/2 - (27/4)
subtract
-25/4
(1 + 1/3)² - 2/9
simplify the expression (1 + 1/3)
(4/3)² - 2/9
using PEMDAS, we see we have to evaluate the exponent first
(4/3)² = 16/9
rewrite the equation
(16/9) - (2/9)
subtract
14/9
Answer:
B
Step-by-step explanation:
The area of the biggest rectangle =

The area of the of the smallest rectangle inside=

Then the area of the shaded region =

So, we choose B.
2/6 is equal to 4/12 and 3/4 is equal to 9/12 so 3/4 is larger
Answer: 0.125 mg per half minute
Step-by-step explanation:
15mg per hour can be written as 15mg/h
To find out how many mg of medication are delivered per half minute you can convert from hour to minutes
There are 60 minutes in 1 hour, so you can use the conversion factor (1h/60 min) and multiply the expression by it
15 mg/h (1h/60min) = 0.25 mg/min
But the question is per half minute so you have to multiply and divide the previous expression by 0.5 (To obtain 0.5 min in the denominator, which is half minute)
Then,
(0.25 mg/min ) (0.5/0.5) = 0.125 mg/ 0.5 min (0.125 mg per half minute)