Answer:
23 is the prime number
How?
▶
<u>21 is divisible by 3</u>
<u>21 is divisible by 322 is divisible by 2</u>
<u>21 is divisible by 322 is divisible by 223 is not divisible by any no. </u>
<u>21 is divisible by 322 is divisible by 223 is not divisible by any no. 24 is divisible by 2 </u>
The lines are
i) y=-x+6
ii) y=2x-3
The solution of the system of equations is found by equalizing the 2 equations:
-x+6=2x-3
-2x-x=-6-3
-3x=-9
x=-9/(-3)=3
substitute x=3 in either i) or ii):
i) y=-3+6=3
ii) y=2(3)-3=6-3=3
(the result is the same, so checking one is enough)
This means that the point (3, 3) is a point which is in both lines, so a solution to the system.
In graphs, this means that the lines intersect at (3, 3) ONLY
Answer: The graph where the lines intersect at (3, 3)
Answer:
x = -36, y = 6, z = -6
Step-by-step explanation:
The requirement x/z = -z means x = -z².
The requirement x/y = z means x = yz.
These two requirements together mean yz = -z², or y = -z.
The requirements that z/2 and z/3 are integers mean that z is a multiple of 2·3 = 6. The smallest magnitude non-zero multiple is z=-6 (since we also require z < -z).
Using z=-6, we have x = -z² = -36; y = -(-6) = 6.
For some positive integer n, ...
... x = -36n², y = 6n, z = -6n.
Answer:
slope = 2
Step-by-step explanation:
slope = (y2-y1)/(x2-x1)
= (0-4)/(0-2)
= -4/-2
= 2
