Given it's midpoint and one endpoint apply the midpoint formula and solve for x and y midpoint (22,15) endpoint (18,6

1 answer:

Nutka1998 [239]3 years ago

4 0

Midpoint formula

mid of (x1,y1) and (x2,y2) is
$( \frac{x2+x1}{2}, \frac{y2+y1}{2})$

so

(22,15)= $( \frac{18+x1}{2}, \frac{6+y1}{2})$
therefor

22= $\frac{18+x1}{2}$
and
15= $\frac{6+y1}{2}$

slv each
22= $\frac{18+x1}{2}$
times both sides by 2
44=18+x1
minus 18 both sides
26=x1

15= $\frac{6+y1}{2}$
times both sides by 2
30=6+y1
minus 6
24=y1

the other point is (26,24)

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Bumek [7]

The step function is characteristic of the floor or ceiling functions, which map a real number to an integer. There's clearly a factor of 2, indicated by two units of y for every one unit of x.

The open and filled circles indicate, for example, f(1)=2, f(1.01)=4. That means we're rounding up, so we're using the ceiling function.

$f(x) = 2 \lceil x \rceil$