1. what is the area of a square whose diagnol is 1 unit longer than the length of a side?
2. if a 3 didget number is chosen at random, from the set of all 3 diget numbers what is the probablility all 3 didgets will be prime?
for what value of "b" will the solution of the system consist of pairs of positive numbers?
4. Find the equation of a line perpendicular to 3x-5y=17 that goes throgh the point (4,3)
5.ms sanders has Epogen 2200 units subcutaneous injection 3 times a week ordered for the anemia caused by chronic renal failur. Epogen 3000units/ml is avalible. How many millilieters will the patient recieve for each dose?
You should get and .
You want both x and y to be positive.
So and .
Solving the first gives...
and so, dividing by b, we get
if and if .
Solving the second gives...
and so if and if .
So putting the inequalities together, we find that if , b is both greater than 1 and greater than 2. So . And if we find that b is both less than 1 and less than 2. So .
Knowing that in a 45-45-90 triangle the hypotenuse is \sqrt(2) multiplied by side:
As for number 4, simply solve for y to get the function in the form of:
Recall that m is the slope, and that the slope of a line that is perpendicular to the line in question is given by:
Once you have the slope and the given point, simply plug in point slope form:
and solve for y.