The trick is to realize what your choices are.
if m or n or both are divisible by 5, then 2mn will be divisible by 5
I don't know if you know about x mod(5), but in that case there can only be 4 possibilities for m and n
m mod (5) = +/- 2 or m mod(5) = +/- 1
In the first case m^2 = 4 mod(5) and in the second case m^2 = 1 mod(5) N has the same considerations.
If m and n have the same modular results (both are [say] 2 ) then m^2 - n^2 which be 0
If they are different, then (m^2 + n^2) mod 5 = 0
Answer:
Let S be the total surface area. Then
h = ( S - 2 Pi r^2) / ( 2 Pi r)
Discussion:
Let S be the total surface area. Then
S = 2Pi r*h + 2 Pi r^2 => subtract 2 PI r^2 from both sides
S - 2 PI r^22 = 2 PI r*h => divide both sides by 2 PI r
h = ( S - 2 Pi r^2) / ( 2 Pi r)
Thank you,
MrB
Step-by-step explanation:
Answer:
I think the answer is C. 1209 cm^3
Step-by-step explanation:
volume of a cylinder= πr^r2xh
radius = 1/2xdiameter
r = 1/2× 9
r = 4.5cm
height. = 19cm
volume of the cylinder = 22/7 x (4.5)^2 x 19
= 1208.73cm^3
= 1209 cm^3 ( to the nearest whole number)
Answer:
104 units
Step-by-step explanation:
One key thing to note about a reflection is that side lengths and angle measures will always remain the same on the reflected figure. With that in mind, let's note the side lengths in both the original and reflected figures.


Remember, since side lengths are the same, let's fill in the missing values with the values of the side lengths given in each of the figures:


See? Notice how the values are the same! To find the perimeter (
) of a quadrilateral, we have to add each side length:

Solve:

G (z)= 3z - 6
3(-3) - 6 = -15 = (-3,15)
3(-2) - 6 = -12 = (-2,-12)
3(-1) - 6 = -9 = (-1,-9)
3(0) - 6 = -6 = (0,-6)
3(1) - 6 = -3 = (1,-3)
3(2) - 6 = 0 = (2,0)
3(3) - 6 = 3 = (3,3)
For the table separate the equations in a column by each equal sign. For each row separate with every line.
Hope this helps