The least common multiple (LCM) of a set of numbers is the lowest value that all of the numbers can be divided by and have a result of a whole number.
In this case, the least common multiple is 21 because 21/7=3 and 21/21=1.
Answer:
1. 
2. 
3.
.
Step-by-step explanation:
Let us assume a point (x,y) in the co-ordinate plane on which the transformations will be applied.
Now, we know that 'rotation' is a transformation that turns that image to a certain degree about a point.
So, the given transformations gives us the forms as:
1. When we rotate an ( x,y ) by 90° about origin counter-clockwise, the resultant co-ordinate is ( -y,x ).
So, the function form is
.
2. When we rotate an ( x,y ) by 180° about origin counter-clockwise, the resultant co-ordinate is ( -x,-y ).
So, the function form is
.
3. When we rotate an ( x,y ) by 270° about origin counter-clockwise, the resultant co-ordinate is ( y,-x ).
So, the function form is
.
Answer:
The Answer is that the first number is 37 and the second number is 28.
Step-by-step explanation:
Let f = first number and s = second number
f = s + 9
The sum of both numbers is 65:
f + s = 65
Substitute:
(s + 9) + s = 65
2s + 9 = 65
2s = 65 - 9
2s = 56
s = 56 / 2 = 28, the second number.
f = s + 9
f = 28 + 9 = 37, the second number.
Proof:
f + s = 65
28 + 37 = 65
65 = 65
Here you go! Hope this helps and have an Awesome Day!! :-)
Answer:

Step-by-step explanation:
The slope of two parallel straight lines are the same.
Now, the slope of the line
is
as the straight line equation is in slope-intercept form.
Now, the equation of the straight line in slope-intercept form which is parallel to the above line is
............. (1) , where c is any constant.
Now, point (-2,2) is on the line (1) {Given}
So, this point will satisfy the equation.
Hence,
⇒ c = 3.
Therefore, the equation of the required straight line is
(Answer)