As the name suggests, the greatest common factor of two numbers is the largest number that divides both numbers. So, the first two options are surely wrong: 9 can't be the GCF of 9 and 12 because it doesn't divide 12, and it can't be the GCF of 9 and 30 because it doesn't divide 30.
As for the third option, 18 and 36 are actually both multiples of 9, but 9 isn't the GCF, because both numers are divisible by 18. So, the greatest common factor between 18 and 36 is 18 itself.
So, the answer is the last option, because you have
So, 9 is actually the greatest common factor between 18 and 27.
Answer:
The coordinates of r' are x = 10 and y = 12.
Step-by-step explanation:
The vertex experiments two operations: Dilation and translation, whose definitions are presented herein:
Dilation with respect to origin
,
Translation
,
If and
, then:
1) Given.
2) Dilation with respect to origin.
3) Vectorial sum and scalar multiplication.
4) Translation.
5) Vectorial sum. Result.
The coordinates of r' are x = 10 and y = 12.
Answer:
Step-by-step explanation:
Inverse variation is written as
which, in words, says "y varies inversely with x". If cavities varies inversely with time brushing, then
We are given the initial condition for which we need to solve for k:
c = 4 when t = 30:
so
k = 120.
Now we will use that value of k to solve the problem of how many cavities, c, would she have if she brushed her teeth 120 seconds, t, each night:
(the 120 on top is the k value and the 120 on the bottom is the number of seconds she brushed) to get
c = 1