Answer:
all are linear.
I'm sure all are linear.
Because linear is in the form:
y = mx + c
And all have the same form.
Answer:
Step-by-step explanation:
Remember simple multiplication? Write the problem with 17 at the bottom:
8
* 1 7
----------
5 6 <-- this is 8*7
8 0 <-- this is 8*10 [we sometimes just shift and don't write the 0]
-------
1 3 6
So, 8*17 is the same as 8*10 + 8*7.
Answer:
It is 17,18 and 19
Step-by-step explanation:
Consecutive numbers are
x, x+1, x+2
x+x+1+x+2=54
3x+3=54
-3 -3
3x=51
x=17
17
17+1=18
17+2=19
17, 18 and 19
Just subsitute values for x and get values for y
(x,y)
(0,-2)
(1,1)
(-1,-5)
(-2,-8)
here is the graph
Answer:
proof below
Step-by-step explanation:
Remember that a number is even if it is expressed so n = 2k. It is odd if it is in the form 2k + 1 (k is just an integer)
Let's say we have to odd numbers, 2a + 1, and 2b + 1. We are after the sum of their squares, so we have (2a + 1)^2 + (2b + 1)^2. Now let's expand this;
(2a + 1)^2 + (2b + 1)^2 = 4a^2 + 4a + 4b + 4b^2 + 4b + 2
= 2(2a^2 + 2a + 2b^2 + 2b + 1)
Now the sum in the parenthesis, 2a^2 + 2a + 2b^2 + 2b + 1, is just another integer, which we can pose as k. Remember that 2 times any random integer, either odd or even, is always even. Therefore the sum of the squares of any two odd numbers is always even.
