Answer:
(0,0) and (7,10)
Step-by-step explanation:
recall that the slope - intercept form of a linear equation can be given as
y = mx + b
where m = slope and b = y intercept
in our case, we are given that slope, m = 10/7, hence our equation becomes
y = (10/7) x + b
since we are not given any information about the y-intercept, we can simply pick a value for b that is most convenient for us.
We pick b = 0, hence the equation simplifies to:
y = (10/7) x ----- eq 1
we can see immediately that if x = 0, y must also = 0
proof if x = 0:
y = (10/7)(0) =0
since 0 is an integer, then (0,0) must be the first point.
we can also observe that for y to be an integer, we must get rid of the denominator 7. We can do this by multiply the right side by 7. Hence we let x = 7:
y = (10/7) x 7
y = 10
hence (7,10) is the second point.
Answer:
12
Step-by-step explanation:
You need the greatest common factor of 168 and 60.
168 = 2^3 * 3 * 7
60 = 2^2 * 3 * 5
For the GCF, you need common factors with the lower exponent.
Between 2^3 and 2^2, choose 2^2.
Then you have 3 as a common factor.
5 and seven are not common.
GCF = 2^2 * 3 = 12
Answer: 12
Hi,
The like terms are 2xy, -xy and (1/2)xy, since they have the same variables and powers.
Answer with Step-by-step explanation:
We are given that A, B and C are subsets of universal set U.
We have to prove that
Proof:
Let x
Then 
and 
When 
then 
but 
Therefore, 
but 
Hence, it is true.
Conversely , Let 
but 
Then 
and
When 
then
Therefor,
Hence, the statement is true.
The equation of a circumference is 2
r. Since we know that r=17, we plug that into the formula, and get an answer of C. 34
