An ratio is a fraction that describes a comparison of two numbers or quanitites
The answer is 4 hours
p -<span> the programming time
</span>c - time spent on commercials
<span>A radio station broadcasts programs and commercials 20 hours everyday:
p + c = 20
</span><span>The ratio of the time spent on commercials to the programming time is 1:4.
c : p = 1 : 4
p = c * 4 : 1
p = 4c
p + c = 20
p = 4c
_____
4c + c = 20
5c = 20
c = 20 : 5
c = 4h</span>
I: 12x-5y=0
II:(x+12)^2+(y-5)^2=169
with I:
12x=5y
x=(5/12)y
-> substitute x in II:
((5/12)y+12)^2+(y-5)^2=169
(25/144)y^2+10y+144+y^2-10y+25=169
(25/144)y^2+y^2+10y-10y+144+25=169
(25/144)y^2+y^2+144+25=169
(25/144)y^2+y^2+169=169
(25/144)y^2+y^2=0
y^2=0
y=0
insert into I:
12x=0
x=0
-> only intersection is at (0,0) = option B
Answer:
Step-by-step explanation:
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