Answer:Gcf=1.
Step-by-step explanation: The factors of 2 are: 1, 2
.
The factors of 6 are: 1, 2, 3, 6
.
The factors of 15 are: 1, 3, 5, 15.
Answer:
Step-by-step explanation:
Recall that, in this case, the subset of X for which R is defined is called the domain of R. The mistake occurs when we assume that the domain R is the whole set X, but it could happen that R is not defined for some elements of X.
Recall the following example:
X = {2,4,6}.
We can define R as follows {(2,2), (4,4), (2,4), (4,2)}. We can easily check that this is a transitive and symmetric relation, but since we don't have the element (6,6) it fails to be reflexive.
A.) according to the graph, Austin appears to be burning 10 calories per minute. If you look at a perfect point on the graph, which I chose (50,5) and you do x over y or calories per minute, you get a unit rate of 10 calories per minute.
b.) Since you have already found the unit rate in question a, your slope would be 10.
Answer:
x = 5√5
Step-by-step explanation:
x² + 10² = 15²
x² + 100 = 225
x² = 125
x = √125
x = 5√5
Answer:
Perimeter = 72
Step-by-step explanation:
<u>Mathematics Puzzle</u>
The area of a rectangle is the product of the base and the height
A=b.h
We know the base and the height are two consecutive prime numbers, not much of useful information so far.
We also know the area is composed only of the two smallest prime digits. Those digits are 2 and 3. If the number is reversed and it's not changed, then we only have two possible values for the area: 232 and 323.
We only need to find two consecutive prime numbers which product is one of the above. The number 232 has no prime factors: 232 = 8*29.
The number 323 is the product of 17 and 19, two consecutive prime numbers, thus the dimensions of the rectangle are 17 and 19.
The perimeter of that rectangle is 2*17+2*19= 72
