Question

find two points on the y-axis that are a distance of 5 units from (4,2)

Answer 1

Try constructing right triangles with hypotenuses of 5 with one corner at (4,2) and the other two on the y-axis. Use the pythagorean theorem to find the unknown side.

Answer 2

thank you good sir.

Answer 3

having trouble

Answer 4

\[{4}^2+{5}^2={c}^2\]

Answer 5

5 is the hypotenuse, so it should be

4^2 + b^2 = 5^2

Answer 6

b=x

Answer 7

Therefore, 16+b^2=25

25-16=b^2

9=b^2

b=3

Same thing with the triangle pointing downwards, you would get points at (0,7) and (0,1)