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
Mint Chocolate chip with a swirl of chocolate and caramel (this is for the 20character limit)
Answer:
320,400
Step-by-step explanation:
80,100 restricted numbers x 4 area codes
Mean is calculated by adding all numbers and dividing by how many there are. I have set up an equation to find x from the given mean.
To cancel out the denominator, multiply both sides by 4.
When that is done, you are left with:
Combine like terms:
Add 5 to both sides, cancelling out the -5 on the left.
Your answer is 51.
If you want to check your work, plug in 51 for x.
6 + 7/12
7/12 = .583333333333...
6 + .58333333333... = 6.58333333...
Your answer would be c)