Answer:
<em>If statement(1) holds true, it is correct that </em>
<em> is an integer.</em>
<em>If statement(2) holds true, it is not necessarily correct that </em><em> is an integer.</em>
<em></em>
Step-by-step explanation:
Given two positive integers 
and 
.
To check whether is an integer:
Condition (1):
Every factor of is also a factor of .
Let us consider an example:
which is an integer.
Actually, in this situation is a factor of .
Condition 2:
Every prime factor of <em>s</em> is also a prime factor of <em>r</em>.
(But the powers of prime factors need not be equal as we are not given the conditions related to powers of prime factors.)
Let
which is not an integer.
So, the answer is:
<em>If statement(1) holds true, it is correct that </em><em> is an integer.</em>
<em>If statement(2) holds true, it is not necessarily correct that </em><em> is an integer.</em>
<em></em>
Usually, cubes have 6 sides on them, so the chances of first rolling either 3 or a 4 is 1/3th of a chance. Then, if she rolls it 39 times, I'd do 1/3 of 39, and get 13. She can expect 13 times to roll a 3 or a 4.
Answer:
They need to earn 6 yards on the fourth down to have a 10 yard gain from their starting position
Step-by-step explanation:
A football team gained 6 yards on the first down, lost 19 yards on the second down,
Total gained yards:
6 - 19 = -13 yards
So at the end of 2nd down the team lost 13 yards.
They gained 17 yards on the third down.
-13 + 17 = 4
So at the end of 3rd down the team gained 4 yards.
They want 10 yard gain at the end of 4th down.
If they gain 6 yards in the 4th down then the sum will be 10 yards
4 + 6 = 10
Hence, they need to earn 6 yards on the fourth down to have a 10 yard gain from their starting position.
Point slope form is y - y1 = m(x - x1)
so if the slope is m= 2 and (x1,y1) = (1,3) is a point on the line the equation is:-
y - 3 = 2(x - 1)
