Answer:
m=3
Step-by-step explanation:
Perpendicular lines intersect at 90 degrees or perpendicular angles. As such, their slopes are related. The slope of each line is the negative reciprocal of the other. For the equation, 
. The slope or 
. This means the slope of the other line will be the negative reciprocal which is -(-3)=3
Label the 3 distinct sides of the box. I arbitrarily chose the letters a, b and c.
Use the info about areas as follows:
ab=54 in^2
ac=90 in^2
bc=60 in^2
Here you have 3 equations in 3 unknowns (a, b and c), which is enough info to use to determine a, b and c. Then the volume of the box is a*b*c.
Example: bc = 90, but c = 60/b. You could subst. 60/b for c in the 2nd and 3rd equation, which will eliminate c completely and leave you with 2 equations in 2 unknowns.
Continuing this procedure, I determined that a=9, b=6 and c=10. Thus, the volume of the box is V = 9*6*10 = 540 cubic inches (answer)
Answer:
the one on the bottom left, with 23 all by its lonesome
Step-by-step explanation:
Step-by-step explanation:
If the order of the cards doesn't matter:
₅₂C₅ = 52! / (5! (52−5)!)
₅₂C₅ = 2,598,960
If the order of the cards does matter:
52 × 51 × 50 × 49 × 48 = 311,875,200
