9514 1404 393
Answer:
(x, y) = (4, 5)
Step-by-step explanation:
Equating the expressions for y gives ...
-1/4x +6 = x +1
5 = 5/4x . . . . . . . add 1/4x-1
4 = x . . . . . . . . . . multiply by 4/5
y = x +1 = 4 +1
y = 5
The solution is (x, y) = (4, 5).
The distance between two points on the plane is given by the formula below
Therefore, in our case,
Thus,
Therefore, the answer is sqrt(61)
In general,
Remember that
Therefore,
You could use the Pythagorean theorem which is a squared +b squared= c squared
you know a and c
a=24
c=25
24 squared + x squared = 25 squared
576+x squared =625
subtract 576 from both sides
x squared = 49
square root x and 49
x=7
C is the answer