This is an arithmetic sequence because each term is 7 greater than the previous term, so 7 is what is called the common difference...
Any arithmetic sequence can be expressed as:
a(n)=a+d(n-1), a=first term, d=common difference, n=term number.
We know a=1 and d=7 so:
a(n)=1+7(n-1)
a(n)=1+7n-7
a(n)=7n-6
The above is the "rule" for the nth term.
Yes, the new coordinates would be:
R': (9,9)
P': (3,3)
Q': (9,3)
You would multiply all of the current coordinates by three (its scale factor of enlargement) to obtain these answers. Hope this helps!
Answer:
Gradient is change in y over change in x.
gradient = y1-y2 ÷ x1-x2
=7-11 ÷ 3-5
=-4 ÷ -2
=2
Answer:
Eight students won 6, 7, or 8 gold medals.
Step-by-step explanation:
We see that the third bin is labelled 6 - 8. Since this is on the horizontal, or x, axis, this means that the students in this "bin" have won 6 - 8 medals, which is the same as saying winning 6, 7, or 8 medals.
Because this "bin" goes to 8, that means that there are 8 students who earned this many medals.
Thus, the answer is D.
Hope this helps!
Answer:
Step-by-step explanation:
1.rational
2.irrational
3.rational
4.rational
5.rational
6.irrational
