Because the difference between any term and the previous term is a constant, this is an arithmetic sequence because of that constant which is referred to as the common difference, d. Which in this case is -35--38=-32--35=3
Any arithmetic sequence can be expressed as:
a(n)=a+d(n-1), a=initial term, d=common difference, n=term number.
In this case a=-38 and d=3 so
a(n)=-38+3(n-1) which we can simplify to
a(n)=-38+3n-3
a(n)=3n-41, so the 52nd term is:
a(52)=3(52)-41
a(52)=156-41
a(52)=115
Answer:
16
Step-by-step explanation:
2 x 8 is just another way of saying what would 8 + 8 be
for example, 5x5 would just 25 but 5+5+5+5+5 would also be 25
Hope this helps, sorry im not a good teacher:)
The distance between any point (x0,y0) on the parabola and the focus (m,n) is the same as the distance between (x0,y0) and the directrix line ax+by+c. The distance between (x0,y0) and focus (a,b) is \sqrt((x-m)^2+(y-n)^2). The distance between (x0,y0) and ax+by+c is |ax0+by0+c|/\sqrt(m^2+n^2). Equalize these two expressions.
Answer:
and 
Step-by-step explanation:
we have the coordinates
A(2,7),B(2,2),C(7,6)
we know that
The mid segment of triangle ABC that is parallel to line AB is located between the mid point AC and the mid point BC
The formula to calculate the midpoint between two points is equal to
step 1
Find the mid point AC
we have
A(2,7),C(7,6)
substitute in the formula
step 2
Find the mid point BC
we have
B(2,2),C(7,6)
substitute in the formula
therefore
The endpoints of the mid segment of triangle ABC that is parallel to line AB are and
