For two lines to be perpendicular, their slopes must be negative reciprocals of one another, mathematically:
m1*m2=-1, in this case our reference line has a slope of -3 so:
-3m=-1 divide both sides by -3
m=-1/-3
m=1/3
So the perpendicular line will have a slope of 1/3
Step-by-step explanation:
4x+9y=28
-4x-y=-28
8y=0
divide both side by 8
y=0
solve for X in equation 1
4(X)-9(0)=28
4x-0=28
4x =28
divide both side by 4
4x/4=28/4
X= 7
y=0,x=7
12/50=24% of student bring lunch so 24%-524=398 student buy lunch out of 524
Answer:
¼ x 20 = 5
⅛ x 56 = 7
0.16 x 32 = 5.12
4.5 x 9.1 = 40.95
Step-by-step explanation:
Answer:
At these rates Sydney read 10 pages per hour more than Zander.
Step-by-step explanation:
Zander read
pages in
of an hour.
Therefore, pages read by Zander in 1 hour = 
= 
= 
= 55 pages per hour
Sydney read
pages in
of an hours.
Pages read by Sydney in 1 hour = 
= 
= 65 pages per hour
Therefore, number of pages read more by Sydney as compared to Zander,
= 65 - 55
= 10 pages per hour
At these rates Sydney read 10 pages per hour more than Zander.