Answer:
195
Step-by-step explanation:
To find the 23rd term of this sequence, we can use the arithmetic sequence formula 
where,
= 
term
= first term
= term position
= common difference
∆x = (4--4)=8
∆y = (7--3)= 10
Step-by-step explanation:
distance is given by;
d² = (∆y)²+ (∆x)²
d = √((∆y)²+ (∆x)²)
d = √((4+4)² + (7+3)²)
d = √((8²) + (10²))
d = √(64+100)
d = √164
<em><u>d =12.806 units</u></em>
To solve for the variables y and x we substitute the second equation into the first meaning that y = -x +2 you substitute y for (-x+2)
so
(-x +2) = x +4
add x to both sides
2 = 2x + 4
subtract 4 from both sides
-2 = 2x
divide by 2
-1 = x
now plug x back into the original equation
y = (-1) + 4
y = 3
and
y = -(-1) + 2
y = 1 +2
y = 3
there you have it x = -1 and y = 3
Hope this helps ;)
