The greatest number of friends Noor can offer hot chocolate to is 8.
ANSWER= 8
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:
The polynomial 3x² + x - 6x + 3 is a prime polynomial
How to determine the prime polynomial?
For a polynomial to be prime, it means that the polynomial cannot be divided into factors
From the list of options, the polynomial (D) is prime, and the proof is as follows:
We have:
3x² + x - 6x + 3
From the graph of the polynomial (see attachment), we can see that the function does not cross the x-axis.
Hence, the polynomial 3x² + x - 6x + 3 is a prime polynomial
Read more about prime polynomial at:
brainly.com/question/2944912
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Answer:
x=3.5
Step-by-step explanation:
1. Multiply
18x-12=5x+30
2. Move the x's to one side
12x= 42
3. Isolate the variable by dividing
x=3.5
In exponential form, it would be xy^2z^3