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frez [133]
3 years ago
12

The given line segment has a midpoint at (−1, −2).

Mathematics
1 answer:
Sav [38]3 years ago
6 0
As the midpoint is a point on the perpendicular line, we can solve by eliminating the other equations, like this:
Check if the point (-1,-2) is on the line y=-4x-4:
-4(-1)-4=0 is differente from -2.
-4(-1)-6=-2, so (-1,-2) is on the line y=-4x-6.
We check also for the other equation like this:
Third equation: (-1)-4 = -5 not equal to -2. 
Fourth equation: (-1)-6=-7 not equal to -2. 
So the correct answer is the line y=-4x-6
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The doctor's dosage was not appropriate.

The right dosage is from 56.625 mg to 113.25 mg of Antibiotic to be given every 6 hour for the child with weight 25 lbs.

Step-by-step explanation:

It is given that 20 to 40 mg/kg/day is the recommended dosage.

Now, the doctor's order is 150 mg of antibiotic to be given every 6 hours. And my child weighs 25 lbs.

Now, 1 lb is equivalent to 0.453 kg.

So, my child's weight is (25 × 0.453) = 11.325 kg.

So, the doctor's order is 150 mg of antibiotic to be given every 6 hours for a child of weight 11.325 kg.

Hence, the dosage is [(150 × 4) ÷ 11.325] = 52.98 mg/kg/day.

So, this is not within the limit of 20 to 40 mg/kg/day.

Therefore, the doctor's dosage was not appropriate.

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So, 20 \leq  \frac{4x}{11.325} \leq 40

⇒ 20\leq 0.3532x \leq 40

⇒ 56.625 \leq  x \leq  113.25

So, the right dosage is from 56.625 mg to 113.25 mg of antibiotic to be given every 6 hours for the child with weight 25 lbs. (Answer)

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