The rectangle shown below has an area of 4(x+3) square units.
a. use the distributive property to write an equivalent expression for the rectangle's area.
b. if the dimensions of the rectangle are doubled, what is the area of the new rectangle in terms of x?
c. will the ratio of the area of the original rectangle to the area of the larger rectangle be the same for any positive of x? explain

Adoctor administers a drug to a 38-kg patient, using a dosage formula of 50 mg/kg/day. assume that the drug is available in a 100 mg per 5 ml suspension or in 500 mg tablets. a. how many tablets should a 38-kg patient take every four hours? b. the suspension with a drop factor of 10 ggt/ml delivers the drug intravenously to the patient over a twelve-hour period. what flow rate should be used in units of ggt/hr? a. the patient should take nothing pills every four hours. (type an integer or decimal rounded to the nearest hundredth as needed.)

What is the x-intercept and y-intercept of the equation 2x+1. 2o

In trapezoid abcd, ac is a diagonal and ∠abc≅∠acd. find ac if the lengths of the bases bc and ad are 12m and 27m respectively.