Answer:
10
Step-by-step explanation:
using HYPOTHENUS theorem
8^2 + 6^2 = x^2
64 + 36= 100
√100=10
<span>I have graphed the given coordinates of both pentagons. The reflection was across the y-axis where coordinates of Pentagon PQRST (-x,y) resulted to Pentagon P'Q'R'S'T' (x,y). The line of reflection between the pentagons was x = 0. Line of reflection is the midway between the pre-image and its reflection.</span>
Answer:
The explicit rule for the arithmetic sequence is given by:
......[1]
where,
is the first term
n is the number of terms and
d is the common difference for two consecutive terms.
As per the statement:
A recursive rule for an arithmetic sequence is:
The recursive formula for the arithmetic sequence is given by:
then;
On comparing we get;
d = -3
Substitute the given values in [1] we have;
⇒
Therefore, the explicit rule for this sequence is, 
Answer:
f(2) =8
Step-by-step explanation:
f(2) Is when n=2
f(2) = -5 *f(2-1) -7
f(2) = -5 *f(1) -7
We know that f(1) = -3
f(2) = -5 *-3 -7
= 15 -7
= 8
